Mathematics Publications

2012

KLECZKOWSKI A, OLEŚ K, Gudowska-Nowak E and Gilligan CA, Searching for the most cost-effective strategy for controlling epidemics, Journal of the Royal Society Interface 9 pp. 158-169, 2012.

2011

J.Z. FARKAS and P. Hinow, Physiologically structured populations with diffusion and dynamic boundary conditions, April 2011, Mathematical Biosciences and Engineering

C. McCAIG, M. Begon, R. NORMAN, and C. SHANKLAND, A rigorous approach to investigating common assumptions about disease transmission: Process algebra as an emerging modelling methodology for epidemiology, Theory in Biosciences 130(1):19-29, Special Issue on Emerging Modelling Methodologies in Medicine, 2011. DOI: 10.1007/s12064-010-0106-8. Available online.

C. McCAIG, C. SHANKLAND and R. NORMAN, From Individuals to Populations: a mean field semantics for process algebra, Theoretical Computer Science 412(17):1557-1580, 2011, doi:10.1016/j.tcs.2010.09.024.

Ziebell H, Murphy AM, Groen SC, Tungadi T, Westwood JH, Lewsey MG, Moulin M, KLECZKOWSKI A, Smith AG, Stevens M, Powell G and Carr JP, Cucumber mosaic virus and its 2b RNA silencing suppressor modify plant-aphid interactions in tobacco. Nature Scientific Reports 1:187, 2011.

2010

A. HOYLE & A. Gilburn, Sexually antagonistic co-evolution: a model and an empirical test, Journal of Evolutionary Biology - Vol. 23, pp. 166-174. DOI: 10.1111/j.1420-9101.2009.01886.x (Jan 2010)

CHRIS McCAIG, Mike Begon, RACHEL NORMAN, CARRON SHANKLAND, A rigorous approach to investigating common assumptions about disease transmission: Process algebra as an emerging modelling methodology for epidemiology, Theory in Biosciences. online August 2010, DOI 10.1007/s12064-010-0106-8

C. McCAIG, M. Begon, R. NORMAN, and C. SHANKLAND, A Symbolic Investigation of Superspreaders, Bulletin of Mathematical Biology, Special Issue on Algebraic Biology, 2010.

Erin Scott, Simmi M. Mahajan, Timothy Brand-Spencer, Judith E. Allen, RACHEL NORMAN, Andrea L. Graham, CARRON SHANKLAND, Modelling Immunological Systems using PEPA: a preliminary report, 9th Workshop on Process Algebra and Stochastically Timed Activities, pp 64-69, London, 2010. Available online

PORTER, R, NORMAN, R and Gilbert, L Controlling tick borne diseases through domestic animal management: a theoretical approach, Theoretical Ecology. online May 2010, DOI 10.1007/s12080-010-0080-2

2009

S BENKIRANE, C SHANKLAND, R NORMAN and C McCAIG, Modelling the bubonic plague in a prairie dog burrow: a work in progress in: 8th Workshop on Process Algebra and Stochastically Timed Activities :145-152, 2009. Edinburgh.

B. Dybiec, A. KLECZKOWSKI and C.A. Gilligan, 2009. Control of epidemics spreading by Lévy fliers. Journal of the Royal Society Interface *6* pp. 941-950.

C McCAIG, M Begon, C SHANKLAND and R NORMAN, From individual behaviour to population dynamics: changing scale in models of superspreaders in: 8th Workshop on Process Algebra and Stochastically Timed Activities :159-164, 2009. Edinburgh.

McCAIG C, NORMAN R and SHANKLAND C., From Individuals to Populations: A Symbolic Process Algebra Approach to Epidemiology, Mathematics in Computer Science 2(3), 139-155 2009.

2008

S. BENKIRANE, J. Hillston, C. McCAIG, R. NORMAN and C. SHANKLAND, Improved Continuous Approximation of PEPA Models through Epidemiological Examples. In proceedings of From Biology to Concurrency and back, FBTC 2008. Electronic notes in Theoretical Computer Science, Elsevier, 229(1) 59-74 2008.

J.V. GREENMAN & A. HOYLE, Exclusion of generalist pathogens in multi-host communities, American Naturalist - Vol. 172, pp. 576-584. Doi: 10.1086/590967 (Oct 2008)

A. HOYLE & R.G. Bowers, Can possible evolutionary outcomes be determined directly from the population dynamics? , Theoretical Population Biology - Vol. 74, pp. 311-323. Doi: 10.1016/j.tpb.2008.09.002 (Dec 2008)

A. HOYLE, R.G. Bowers, A. White & M. Boots, The influence of trade-off shape on evolutionary behaviour in classical ecological scenarios, Journal of Theoretical Biology - Vol. 250, pp. 498-511. Doi: 10.1016/j.jtbi.2007.10.009 (Feb 2008)

Lello, J, NORMAN, R, Boag B, Hudson, PJ and Fenton, A, Pathogen Interactions, Population Cycles and Phase Shifts. American Naturalist. 171(2):176-82 2008

McCAIG, C., NORMAN, R. and SHANKLAND, C., Process Algebra Models of Population Dynamics, pp 139-155 in Proceedings of Algebraic Biology, 3rd International Conference, LN CS 5147, Springer-Verlag, 2008.

2007

M. Aouchiche, F.K. BELL, D. Cvetkovic, P. Hansen, P. ROWLINSON, S. Simic and D. Stevanovic, "Variable neighborhood search for extremal graphs 16: some conjectures related to the largest eigenvalue of a graph", European Journal of Operational Research, to appear

J.Z. FARKAS, "Note on asynchronous exponential growth for structured population models", Nonlinear Analysis: Theory, Methods and Applications, 67,. 618-622, 2007.

J.Z. FARKAS,T. Hagen, "Stability and regularity results for a size-structured population model", Journal of Mathematical Analysis and Applications, 328, 119-136, 2007.

J.V. GREENMAN and R.A. NORMAN, "Environmental forcing, invasion and control of ecological and epidemiological systems" Journal of Theoretical Biology 247, 492-506 2007.

A. HOYLE and R.G. Bowers, "When is evolutionary branching in predator-prey systems possible with an explicit carrying capacity?" Mth. Biosc., In Press.

J. IRELAND, B.D. MESTEL and R.A. NORMAN, "The effect of seasonal host birth rates on population dynamics: a max/min approach to understanding disease persistence." Mathematical Biosciences 206(1) 31-45 2007

K.J. Willis, A. KLECZKOWSKI, M. New, and R.J. Whittaker, "Testing the impact of climate variability on European plant diversity: 320 000 years of water-energy dynamics and its long-term influence on plant taxonomic richness" Ecology Letters 10 (8): 673-679 2007

R. NORMAN and R.G. Bowers, "A Host-Host-Pathogen Model with Vaccination and its Application to Target and Reservoir Hosts", Mathematical Population Studies, 14(1) 31-56 2007.

P. ROWLINSON, "Co-cliques and star complements in extremal strongly regular graphs", Linear Algebra and its Applications 421, 157-162, 2007

D. Cvetkovic, P. ROWLINSON and S. Simic, "Signless Laplacians of Finite Graphs" Linear Algebra and its Applications, to appear

P. ROWLINSON and I. Sciriha, "Some properties of the Hoffman-Singleton graph", Applicable Analysis and Discrete Mathematics , to appear.

D. Cvetkovic, P. ROWLINSON and S. Simic, "Star complements and exceptional graphs" Linear Algebra and its Applications, to appear

2006

J.Z. FARKAS, "On the linearized stability of age-structured multispecies populations", Journal of Applied Mathematics, Article ID 60643, 8pp 2006.

J.Z. FARKAS, "On the stability of a nonlinear structured population dynamical model with two interacting species", Differential Equations and Dynamical Systems, 14, 27-37, 2006.

A. White, J.V. GREENMAN, T.G. Benton and M. Boots, "Evolutionary behaviour in ecological systems with trade-offs and non-equilibrium population dynamics" Evolutionary Ecology Research 8 (3): 387-398 2006.

L. Irvine, A. KLECZKOWSKI, A. Lane, J. Pitchford, D. Caffrey and P. Chamberlain, "An integrated data resource for modelling the soil ecosystem", Applied Soil Ecology 33 pp. 208-219 2006.

A. KLECZKOWSKI, B. Dybiec and C.A. Gilligan, "Influence of economic and social factors on disease control strategies for epidemics on local, global and small-world networks." Acta Physica Polonica B37 pp. 3017-3026, 2006.

D.J. Bailey, SA. KLECZKOWSKI and C.A. Gilligan, "The role of disease resistance in the response of winter wheat to take-all." Phytopathology 96 pp. 510-516 2006.

F. Mathews, D.W. Macdonald, G.M. Taylor, M. Gelling, R.A. NORMAN, P.E. Honess, R. Foster, C.M.Gower, S. Varley, A.S. Harris, G. Hewinson, J.P. Webster, "Bovine tuberculosis (Mycobacterium bovis) in British farmland wildlife: the importance to agriculture" Proc Roy Soc, B. 273(1584) 357-365 2006.

2005

J.Z. FARKAS, "Stability conditions for a nonlinear size-structured model," Nonlinear Analysis: Real World Applications , 6, 962-969, 2005.

J. V. GREENMAN and T. G. Benton, The Impact of Environmental Fluctuations on Structured Discrete Time Population Models: Resonance, Synchrony and Threshold Behavior,Theoretical Population Biology, 68 (4), 217-235, 2005.

J. V. GREENMAN, T. G. Benton, M. Boots and A. R.White, The Evolution of Oscillatory Behavior in Age-Structured Species, American Naturalist, 166, 68-78.

J. V. GREENMAN, and T. G. Benton, The frequency spectrum of structured discrete-time population models; its properties and their ecological implications, Oikos, vol 110, pp 369-389.

R.G. Bowers, A. HOYLE, A. White, and M. Boots, "The geometric theory of adaptive evolution: trade- off and invasion plots" Journal of Theoretical Biology 233 363-377, 2005

A.H. Fitter, C.A. Gilligan, K. Hollingworth, A. KLECZKOWSKI, R. Twyman, J.W. Pitchford, "Biodiversity and ecosystem function in soil", Functional Ecology 19 pp. 369-377 2005.

E. Gudowska-Nowak, A. KLECZKOWSKI, E. Nasonova, M. Scholz and S. Ritter, "Correlation between mitotic delay and aberration burden, and their role for the analysis of chromosomal damage." Int. Journal Radiation Biology 81 (1) pp. 23-32, 2005.

A.KLECZKOWSKI, "Predictability in simple population models." Acta Physica Polonica 36 (5) pp. 1623-1634, 2005.

B. Dybiec, A. KLECZKOWSKI and C.A. Gilligan, "Optimizing control of disease spread on networks with incomplete knowledge." Acta Physica Polonica 36 (5) pp. 1509-1526, 2005

D. Cvetkovic, PETER ROWLINSON and S. Simic, Graphs with least eigenvalue -2: a new proof of the 31 forbidden subgraphs theorem, Designs, Codes and Cryptography 34, 229-240.

2004

FRANCIS K. BELL and S. K. Simic, On graphs whose star complement for -2 is a path or a cycle, Linear Algebra and Its Applications, 377, pp 249-265.

J.Z. FARKAS "Stability conditions for the nonlinear McKendrick equations" Applied Mathematics and Computation, 156, 771-777, 2004.

J. V. GREENMAN and T. G. Benton, Large amplification in stage-structured models: Arnol'd tongues revisited, Journal of Mathematical Biology vol.48, pp 647-671.

J. V. GREENMAN, M. Kamo and M. Boots, External forcing of ecological and epidemiological systems: a resonance approach, Physica D, 190, 136-151.

B. Dybiec, A. KLECZKOWSKI and C.A. Gilligan, "Controlling disease outbreaks on networks with incomplete knowledge", Physical Review E 70 pp. 066145-1-5, 2004.

G.J. Gibson, A. KLECZKOWSKI and C.A. Gilligan, "Bayesian analysis of botanical epidemics using stochastic compartmental models", Proc. National Academy Sciences USA 101 pp. 12120-12124, 2004.

D.J. Bailey, A. KLECZKOWSKI, and C.A. Gilligan, "The mechanisms for spread and control of soil-borne disease in consecutive crops", New Phytologist 161 pp. 569-575, 2004.

DOUGLAS R. MCLEAN and BRUCE P. GRAHAM, Mathematical formulation and analysis of a continuum model for tubulin-driven neurite elongation, Proc. R. Soc. Lond. A. 460, 2437-2456.

DOUGLAS R. MCLEAN, A. Van Ooyen and BRUCE P. GRAHAM, Continuum model for tubulin-driven neurite elongation, Neurocomputing 58-60 (2004) 511-516.

B. D. MESTEL, A. H. Osbaldestin and A. Tsygvinstev, Bounds on the unstable eigenvalue for the asymmetric renormalization operator for period doubling, Commun.Math.Phys. 250, no.2, 241-257.

B. D. MESTEL and A. H. Osbaldestin, Golden mean renormalization for a generalized Harper equation: The Ketoja-Satija orchid, J.Math.Phys. 45, no.12, 5042-5075.

B. D. MESTEL and A.H. Osbaldestin, Renormalization of correlations in a quasiperiodically forced two-level system: quadratic irrationals, J.Phys. A: Math.Gen., 37, 8969-8989.

B. D. MESTEL and A. H. Osbaldestin, A garden of orchids: a generalised Harper equation at quadratic irrational frequencies, J.Phys. A: Math.Gen., 37, 9071-9086.

JILL M. IRELAND, RACHEL A. NORMAN and J. V. GREENMAN, The effect of seasonal host birth rates on population dynamics: the importance of resonance, Journal of Theoretical Biology 231 229-238.

M. K. Laurenson, RACHEL A. NORMAN, L. Gilbert,, H. W. Reid and P. J. Hudson, Mountain hares, louping- ill, red grouse and harvesting: complex interactions but few data, Journal of Animal Ecology 73(4) 811-813.

RACHEL A. NORMAN, D. Ross, M.K. Laurenson, and P.J. Hudson. The role of non-viraemic transmission on the persistence and dynamics of a tick-borne virus- Louping ill in Red Grouse (Lagopus lagopus scoticus) and Mountain Hares (Lepus timidus). Journal of Mathematical Biology , 48 119-134.

D. Cvetkovic and PETER ROWLINSON, Spectral Graph Theory (Chapter 3, 88-112), Eds. L. W. Beineke and R. J. Wilson, Topics in Algebraic Graph Theory, Encyclopedia of Mathematics and its applications Vol.102, Cambridge University Press, ISBN 0521 80197 4.

D. Cvetkovic, PETER ROWLINSON and S. Simic, Spectral Generalizations of Line Graphs, London Mathematical Society Lecture Note Series Vol 314, Cambridge University Press, ISBN 0521 83663 8, 310 pages.

PETER ROWLINSON, Star Complements and Maximal Exceptional Graphs, Publ. Inst.Math. Beograd, 76(90), 25-30.

2003

FRANCIS K. BELL, Line Graphs of Bipartite Graphs with Hamiltonian Paths, J. Graph Theory, 43, pages 137-149, 2003.

FRANCIS K. BELL, E. M. Li Marzi and S. K. Simic, Some new results on graphs with least eigenvalue not less than -2, Rendiconti del Seminario Matematico di Messina, Serie II, Tomo XXV, Volume n. 9, 11-30.

FRANCIS K. BELL and PETER ROWLINSON. On the multiplicities of graph eigenvalues, Bull. London Math. Soc., 35, 401-408, 2003

M. Boots, J. V. GREENMAN, D. Ross, RACHEL A. NORMAN, R. Hails, and S. Sait, The population dynamical implications of covert infections in host-microparasite interactions Journal of Animal Ecology 72(6) 1064-1072

J. V. GREENMAN and T. G. Benton. The amplification of environmental noise in population models: causes and consequences, American Naturalist, 161, 225-239.

RACHEL A. NORMAN and CARRON E. SHANKLAND. "Developing the Use of Process Algebra in the Derivation and Analysis of Mathematical Models of Infectious Disease" in Computer Aided Systems Theory - EUROCAST 2003. 9th International Workshop on Computer Aided Systems Theory, Las Palmas de Gran Canaria, Spain, February 24-28, 2003, Revised Selected Papers Series: Lecture Notes in Computer Science Vol. 2809 Roberto Moreno Diaz; Franz Pichler, (Eds.)

R. Rosa, A. Pugliese, RACHEL A. NORMAN and P.J. Hudson, Basic reproduction number in models of tick-borne infections including non-viraemic transmission, extended feeding and tick aggregation. Journal of Theoretical Biology, 224(3) 359-376

M.K. Laurenson, RACHEL A. NORMAN, L. Gilbert, H. Reid, and P.J. Hudson. Identifying disease reservoirs in complex systems; Mountain hares as reservoirs of ticks and louping ill virus; pathogens of red grouse. Journal of Animal Ecology, 72(1) 177-185

RACHEL A. NORMAN, A.C. Fenton, J.P. Fairbairn and P.J. Hudson. Mathematical models of insect pest control. Edited by R.K. Upahyay. Advances in microbial control of insect pests 313-323 Kluwer Academic/Plenum Publishers, New York, 2003.

2002

D. Cvetkovic, P. Fowler, PETER ROWLINSON and D. Stevanovic, Constructing fullerene graphs from eigenvalues and angles, Linear Algebra and its Applications, 356, 37-56, 2002.

D. Cvetkovic, M. Lepovic, PETER ROWLINSON and S. Simic, The maximal exceptional graphs, J. Combin. Theory, Series B, 86, 347-363, 2002.

A. Fenton, J.P. Fairbairn, RACHEL A. NORMAN and P.J. Hudson. Parasite transmission: reconciling theory and reality Journal of Animal Ecology 71(5) 893-905

A. Fenton, R.L. Gwynn, A. Gupta, RACHEL A. NORMAN, J.P. Fairbairn, P.J. Hudson. Optimal application strategies for entomopathogenic nematodes: integrating theoretical and empirical approaches. Journal of Applied Ecology 39 (3): 481-492

J. V. GREENMAN et al.. Parasites and host population dynamics, in: The Ecology of Wildlife Diseases, Oxford University Press (ed: P. J. Hudson et al) 45-62.

J. V. GREENMAN et al.. Visions for future research in wildlife epidemiology, in: The Ecology of Wildlife Diseases, Oxford University Press (ed: P. J. Hudson et al) 151-164.

J. V. GREENMAN. Unraveling the dynamic behaviour of ecological models: algebraic, geometric and numerical methods of analysis, Comments on Theoretical Biology, 7, 155-176. (by invitation).

B.T. Grenfell, W. Amos, P. Arneberg, O.N. Bjornstad, J. V. GREENMAN, J. Harwood, P. Lanfranchi, A.R. McLean, RACHEL A. NORMAN, A.F. Read and A. Skorping. Visions for future research in wildlife epidemiology. Edited by P.J. Hudson, A.P. Rizzoli, B.T. Grenfell, H. Heesterbeck and A.P. Dobson The Ecology of Wildlife Diseases 151-165 Oxford University Press, Oxford, 2002.

JILL M. IRELAND, D. Keating, S. G. Hoggar and S. Parks, Identification of appropriate primitive polynomials to avoid cross-contamination in multifocal electroretinogram responses, IEE Med. Biol. Eng. Comput., 40, 471-478, 2002.

S.E. Randolph, C. Chemini, C. Furlanello, C. Genchi, R.S. Hails, P.J. Hudson, L.D. Jones, G. Medley, RACHEL A. NORMAN, A.P. Rizzoli, G. Smith, and M.E.J. Woolhouse. The Ecology of tick-borne infections in wildlife reservoirs. Edited by P.J. Hudson, A.P. Rizzoli, B.T. Grenfell, H. Heesterbeck, and A.P. Dobson. The Ecology of Wildlife Diseases 119-139 Oxford University Press, Oxford, 2002.

PETER ROWLINSON. Star complements in finite graphs: a survey, Rendiconti del Seminario Matematico di Messina Ser. II, Supplemento al. n.8, 145-162, 2002

PETER ROWLINSON and PENELOPE S. JACKSON, Star complements and switching in graphs, Linear Algebra and its Applications, 356, 145-156, 2002.

C. Tucker, RACHEL A. NORMAN, A. Shinn, J. Bron, C. Sommerville, and R. Wootten. A single cohort, time delay model of the life cycle of the sea louse, Lepeophtheirus salmonis on Atlantic Salmon, salmo salar. Fish Pathology 37(3) 107-118

P.J. White, RACHEL A. NORMAN, P.J. and Hudson. Epidemiological consequences of a pathogen having both virulent and avirulent modes of transmission: the case of rabbit haemorrhagic disease virus. Epidemiology and Infection 129 665-677

2001

D. Cvetkovic, PETER ROWLINSON and S. Simic. Graphs with least eigenvalue -2: The star complement technique, Journal of Algebraic Combinatorics, 14, 5-16, 2001.

D. Cvetkovic, PETER ROWLINSON and S. Simic, The maximal exceptional graphs with maximal degree less than 28, Bull. Serb. Acad. Sci. and Arts, 22 (26), 115-131, 2001.

A. Fenton, RACHEL A. NORMAN, J. P. Fairbairn and P. J. Hudson, Evaluating the efficacy of entomopathogenic nematodes for the biological control of crop pests: A non-equilibrium approach, The American Naturalist, 158 (4), 408-42, 2001.

L. Gilbert, RACHEL A. NORMAN, K. M. Laurenson, H. W. Reid and P. J. Hudson, Disease persistence and apparent competition in a three-host community: An analytical and empirical study of large scale, wild populations, Journal of Animal Ecology, 70, 1053-1061, 2001.

J. V. GREENMAN and T. G. Benton, The impact of stochasticity on the behaviour of nonlinear population models: Synchrony and the Moran effect, Oikos, 93, 343-351, 2001.

P. J. White, RACHEL A. NORMAN, R. C. Trout, E. A. Gould and P. J. Hudson. The emergence of a rabbit haemorrhagic disease virus: will a non-pathogenic strain protect the UK?, Philosophical Transactions of the Royal Society of London, Series B, 356(1411), 1087-1097, 2001.

D. M. Tompkins, J. V. GREENMAN and P. J. Hudson. Differential impact of a shared nematode parasite on two gamebird hosts: implications for apparent competition. Parasitology, 122, 187-193.

2000

M. Boots and RACHEL A. NORMAN. Sublethal infection and the population dynamics of host-microparasite interactions. Journal of Animal Ecology, 69, 1-9, 2000.

J. P. Fairbairn, A. Fenton, RACHEL A. NORMAN and P. J. Hudson. Re-assessing the infection strategies of the entomopathogenic nematode Steinernema feltiae (Rhabditidae; Steinernematidae), Parasitology, 121, 211-216, 2000.

A. Fenton, RACHEL A. NORMAN, J.P. Fairbairn and P. J. Hudson. The efficacy of entomopathogenic nematodes in the regulation of invertebrate pests in glasshouse crops, Journal of Applied Ecology, 37, 309-320, 2000.

J.V.GREENMAN and P. J. Hudson. Multihost, Multiparasite Systems: An Application of Bifurcation Theory. IMA J. Math. Appl.Med. Biol., 16, 333-367.

J. V. GREENMAN and P. J. Hudson. Parasite-mediated and direct competition in a two-host shared macroparasite system, Theor. Pop. Biol., 76, 13-34, 2000.

M. K. Laurenson, RACHEL A. NORMAN, H.W. Reid, I. Pow and P. J. Hudson. The role of lambs in Louping ill virus amplification, Parasitology, 120, 97-104, 2000.

B. Liu and PETER ROWLINSON. Dominating properties of star complements, Publ. Inst. Math. Beograd, 68(82), 46-52, 2000.

RACHEL A. NORMAN, M.S. Chan, A. Srividya, S. P. Pani, K. D. Ramaiah, P. Vanamail, E. Michael, P. K. Das and D. A. P. Bundy. EPIFIL: The development of an age structured model for describing the transmission dynamics and control of lymphatic filariasis, Epidemiology and Infection, 124, 529-541, 2000.

MICHAEL J. ROBERTS, The half-on-shell Coulomb T-matrix in a double-scattering approximation to the ionization of helium by fast protons, J. Phys. B: At. Mol. Opt. Phys., 33, 169-179, 2000.

PETER ROWLINSON. Star sets in regular graphs, J. Comb. Math. and Comb. Computing, 34, 3-22, 2000.

PETER ROWLINSON. Star sets and star complements in finite graphs: a spectral construction technique, in Discrete Mathematical Chemistry (DIMACS Workshop, March 1998), DIMACS Series in Discrete Mathematics and Theoretical Computer Science, Vol. 51, American Mathematical Society (Providence, RI) (ISBN 0-8218-0987-3) 323-332, 2000.

PETER ROWLINSON and FRANCIS K. BELL. Graph eigenspaces of codimension at most five, Technical Report CSM-154, Computing Science and Mathematics, University of Stirling, 2000.

PETER ROWLINSON and FRANCIS K. BELL. Graph eigenspaces of small codimension, Discrete Mathematics, 220, 271-278, 2000.

D. M. Tompkins, J. V. GREENMAN, P. A. Robertson and P. J. Hudson. The Role of Shared Parasites in the Exclusion of Wildlife Hosts: Heterakis Gallinarum in the Ring-necked Pheasant and the Grey Partridge. J. Anim. Ecol. , 69, 829-840.

1999

FRANCIS K. BELL. Characterizing line graphs by star complements, Linear Algebra and Its Applications, 296, 15-25, 1999.

Francis K. Bell, D. Cvetkovic, PETER ROWLINSON and S. K. Simic. Some additions to the theory of star partitions of graphs, Discussiones Mathematicae, Graph theory, 19, 119-134, 1999.

D. Cvetkovic, PETER ROWLINSON and S. Simic. Some characterizations of graphs by star complements, Linear Algebra and its Applications, 301, 81-97, 1999.

J. V. GREENMAN and P. J. Hudson. Host exclusion and coexistence in apparent and direct competition: An application of bifurcation theory, Theor. Pop. Biol., 56, 48-64, 1999.

PENELOPE S. JACKSON and PETER ROWLINSON. On graphs with complete bipartite star complements, Linear Algebra and its Applications, 298, 9-20, 1999.

J. F. McKee, PETER ROWLINSON and C. J. Smyth. Salem numbers and Pisot numbers from stars, in Number Theory in Progress (ed. K. Gyory, H. Iwaniec, J. Urbanowicz), Proc. International Conference on Number Theory in honour of Andrzej Schinzel (Zakopane, Poland, 1997), Part 1: Diophantine Problems and Polynomials, Walter De Gruyter (Berlin) (ISBN 311-015715-2 for the set of two volumes) 309-319, 1999.

RACHEL A. NORMAN, R.G. Bowers, M. Begon and P. J. Hudson. Persistence and Dynamics of Louping Ill in Relation to Host Abundance Journal of Theoretical Biology. 200, 111-118, 1999.

1998

FRANCIS K. BELL and S. Simic. A note on the second largest eigenvalue of star-like trees, in Recent Progress in Inequalities (ed. G. V. Milovanovic), Kluwer (Dordrecht), 433-443, 1998.

M. S. Chan, A. Srividya, RACHEL A. NORMAN, S. P. Pani, K. D. Ramaiah, P. Vanamail, E. Michael, P. K. Das and D. A. P. Bundy. Epifil: A dynamic model of infection and disease in Lymphatic Filariasis, American Journal of Tropical Medicine and Hygiene, 59(4), 606-614, 1998.

D. Cvetkovic, M. Lepovic, PETER ROWLINSON and S. Simic. A database of star complements of graphs, Univ. Beograd Publ. Elektrotehn Fak. Ser. Mat. 9, 103-112, 1998.

P. J. Hudson and J. V. GREENMAN. Competition mediated by parasites: biological and theoretical progress, TREE, 13, 387-390, 1998.

PETER ROWLINSON. On graphs with multiple eigenvalues, Linear Algebra and its Applications 283, 75-85, 1998.

1997

D. Cvetkovic, PETER ROWLINSON and S. Simic. Eigenspaces of Graphs, Encyclopedia of Mathematics and its Applications, Vol. 66, Cambridge University Press, 258 pages, 1997.

J. V. GREENMAN and Peter J. Hudson. Infected coexistence instability with and without density-dependent regulation, Journal of Theoretical Biology, 185, 345-356, 1997.

Peter J. Hudson, E. Gould, K. Laurenson, M. Gaunt, H. Reid, L. Jones, RACHEL A. NORMAN, K. MacGuire and D. Newborn. The epidemiology of Louping ill, a tick borne infection of red grouse (Lagopus lagopus scoticus), Parassitologia, 39, 319-323, 1997.

MICHAEL J. ROBERTS. The half-on-shell Coulomb T-matrix in multiple-scattering approximations to atomic ionization processes, J.Phys.B: At Mol.Opt.Phys., 30, 175-180, 1997.

PETER ROWLINSON. Linear Algebra, in Graph Connections (ed. L.W. Beineke & R. J. Wilson), Oxford Lecture Series in Mathematics and its Applications, Vol.5, Oxford University Press, 86-99, 1997.

1996

FRANCIS K. BELL. Graph eigenspaces of small codimension, Technical Report CSM 136, Computing Science and Mathematics, University of Stirling, 1996.

J. V. GREENMAN. The car park: Diffusion models revisited, Energy Economics, 18, pages 107-128, 1996.

J. V. GREENMAN and M. J. Fryer. Hydrocarbon field size distributors - A case study in mixed integer nonlinear programming, Journal of the Operation Research Society, 47 (12), pages 1433-1442, 1996.

PETER ROWLINSON. Characteristic polynomials of modified graphs, Discrete Applied Mathematics, 67, pages 209-219, August 1996.

1995

FRANCIS K. BELL and S. K. Simic. On the index of broken wheels, Linear and Multilinear Algebra, 39, pages 137-152, 1995.

D. Cvetkovic, PETER ROWLINSON and S. K. Simic. On some algorithmic investigations of star partitions of graphs, Discrete Applied Mathematics, 62, pages 119-130, 1995.

E. M. El Omar, I. D. Penman, J. E. S. Ardill, R. S. Chittajallu, CATHERINE A. HOWIE, C. A. L. McColl. Helicobacter Pylori infection and abnormalities of acid secretion in patients with duodenal ulcer disease, Gastroenterology, 109, pages 681-691, 1995.

E. I. Ette, A. W. Kelman, CATHERINE A. HOWIE, and B. Whiting. Analysis of pharmacokinetic data - Performance of the one point per animal design, Journal of Pharmacokinetics and Biopharmacokinetics, 23, pages 551-556, 1995.

E. I. Ette, CATHERINE A. HOWIE, A. W. Kelman, and B. Whiting. Experimental design and efficient parameter estimation in preclinical pharmacokinetic studies, Pharmaceutical Research, 12, pages 729-737, 1995.

J. V. GREENMAN and I. Moffat. The use of computers in Scottish schools: A preliminary survey, Computers in Education, 24, pages 25-30, 1995.

C. A. Hamilton, CATHERINE A. HOWIE, E. Jardine, and J. L. Reid, J. L. Vascular responses of aortic rings from Watanabe heritable hyperlipidemic rabbits after exposure to a free radical generating system, British Journal of Pharmacology, 115 (49), 1995.

P. J. Hudson and RACHEL A. NORMAN. Transmission strategies and population dynamics of entomopathogenic nematodes, Ecology and Transmission Strategies of Entomopathogenic Nematodes, pages 52-57, 1995.

P. J. Hudson, RACHEL A. NORMAN, M. K. Laurenson, D. Newborn, M. Gaunt, E. Gould, H. Reid, R. G. Bowers, and A. Dobson. Persistence and transmission of tick-borne viruses: Ioxides Ricinus and Louping Ill virus in red grouse populations, Parasitology, 111, 1995.

RACHEL A. NORMAN, M. Begon, and R. G. Bowers. Ecological models of microparasitic diseases: The importance of recovery and immunity, Journal of Biological Systems, 3 (3), pages 813-820, 1995.

MICHAEL J. ROBERTS. A theoretical study of the generalization ability of feed-forward neural networks, Technical Report CCCN-21, Centre for Cognitive and Computational Neuroscience, University of Stirling, ISSN 0968-0640, 8 pages, 1995.

PETER ROWLINSON. Star partitions and regularity in graphs, Linear Algebra and its Applications, Volumes 226-228, pages 247-265, 1995

PETER ROWLINSON, editor. Surveys in Combinatorics 1995, Cambridge University Press, 231 pages, 1995.

1994

RACHEL A. NORMAN, M. Begon, and R. G. Bowers. The population dynamics of microparasites and vertebrate hosts: The importance of recovery and immunity, Theoretical Population Biology, 46, pages 96-119, 1994.

MICHAEL J. ROBERTS. Macroscopic properties of the cost function of a feed-forward neural network prior to training, Network: Computation in Neural Systems, 5, pages 389-400, 1994.

PETER ROWLINSON. Dominating sets and eigenvalues of graphs, Bull. London Math. Soc., 26, pages 248-254, 1994.

Yang Yuansheng and PETER ROWLINSON. The third Ramsey numbers for graphs with at most four edges, Discrete Mathematics, 125, pages 399-406, 1994.