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Publications


Updated 10/2011

2011

Andasari, V., Gerisch, A., Lolas, G., South, A.P., Chaplain, M.A.J., Mathematical modeling of cancer cell invasion of tissue: biological insight from mathematical analysis and computational simulation, J. Math. Biol., 63(1): 141-171 (2011) [pdf]

Aubert, M., Chaplain, M.A.J., McDougall, S.R., Devlin, A., Mitchell, C.A., A continuum mathematical model of the developing murine retinal vasculature, Bull. Math. Biol., Epub ahead of print (2011) [pdf]

Chaplain, M.A.J., Multiscale mathematical modelling in biology and medicine, MA J. Appl. Math., 76: 371-388 (2011) [pdf]

Chaplain, M.A.J., Lachowicz, M., Szymanska, Z., Wrzosek, D., Mathematical modelling of cancer invasion: The importance of cell-cell adhesion and cell-matrix adhesion, Math. Mod. Meth. Appl. Sci., 21: 719-743 (2011) [pdf]

Davidson F.A., Boswell, G.P., Fischer M.W., Heaton, L. Hofstadler D. and Roper M., Mathematical modelling of fungal growth and function, IMA Fungus, 2: 33-373 (2011) [pdf]

Frieboes, H.B., Chaplain, M.A.J., Thompson, A.M., Bearer, E.L., Lowengrub, J.S., Cristini, V., Physical oncology: A bench-to-bedside quantitative and predictive approach, Cancer Res., 71: 298-302 (2011) [pdf]

Machado, M.J.C., Watson, M.G., Devlin, A.H., Chaplain, M.A.J., McDougall, S.R., Mitchell, C.A., Dynamics of angiogenesis during wound healing: a coupled in vivo and in silico study, Microcirculation, 18: 183-197 (2011) [pdf]

Sturrock, M., Terry, A.J., Xirodimas, D.P., Thompson, A.M., Chaplain, M.A.J., Spatio-temporal modelling of the Hes1 and p53-Mdm2 intracellular signalling pathways, J. Theor. Biol., 21: 15-31 (2011) [pdf]

Terry, A.J., Chaplain, M.A.J., Spatio-temporal modelling of the NF-kB intracellular signalling pathway: the roles of diffusion, active transport, and cell geometry, J. Theor. Biol., 290: 7-26 (2011) [pdf]

Terry, A.J., Sturrock, M., Dale, J.K., Maroto, M., Chaplain, M.A.J., A spatio-temporal model of Notch signalling in the zebrafish segmentation clock: conditions for synchronised oscillatory dynamics, PLoS ONE, 6(2): e16980t (2011) [pdf]

Trucu, D., Chaplain, M.A.J., Marciniak-Czochra, A., Three-scale convergence for processes in heterogeneous media, Applic. Analysis, 1-23, iFirst (2011) [pdf]

2010

Alzahrani, E.O., Davidson F.A., Dodds, N., Travelling waves in near-degenerate bistable competition models, Math. Model. Nat. Phenom., 5(5): 13-35 (2010) [pdf]

Davidson, F.A., Blueprint for polarised growth, Microbiology Today, February: 34-37 (2010) [pdf]

Enderling, H., Chaplain, M.A.J., Hahnfeldt, P., Quantitative modeling of tumor dynamics and radiotherapy, Acta Biotheor., 58: 341-353 (2010) [pdf]

Kamei, H., Jackson, R.C., Zheleva, D., Davidson, F.A., An integrated pharmacokinetic-pharmacodynamic model for an Aurora kinase inhibitor, J. Pharmacokinet. Pharmacodyn., 37: 404-434 (2010) [pdf]

McDougall, S.R., Chaplain, M.A.J., Stephanou, A. and Anderson, A.R.A., Modelling the impact of pericyte migration and coverage of vessels on the efficacy of vascular disrupting agents, Math. Model. Nat. Phenom., 5: 163-202 (2010) [pdf]

Mistry, H., MacCallum, D.E., Jackson, R.C., Chaplain, M.A.J., Davidson, F.A., A Pharmacodynamic model of Aurora kinase inhibitors in the spindle assembly checkpoint, Frontiers in Bioscience, 15: 249-258 (2010) [pdf]

Preedy, K.F., Schofield, P.G., Liu, S., Matzavinos, A., Chaplain, M.A.J., Hubbard, S.F., Modelling contact spread of infection in host-parasitoid systems: vertical transmission of pathogens can cause chaos, J. Theor. Biol., 262: 441-451 (2010) [pdf]

Samoletov, A.A., Dettmann, C.P., Chaplain, M.A.J., Notes on configurational thermostat schemes, J. Chem. Phys., 132, Article Number 246101 (2010)

Vasiev, B., Balter, A., Chaplain, M.A.J., Glazier, J.A., Weijer C.J., Modeling gastrulation in the chick embryo: formation of the primitive streak, PLoS ONE, 5(5): e10571 (2010) [pdf]

2009

Chaplain, M.A.J., Preface to Special Edition of Journal of Mathematical Biology on Computational Oncology, J. Math. Biol., 58: 481-483 (2009) [pdf]

Enderling, H., Anderson, A.R.A., Chaplain, M.A.J., Beheshti, A., Hlatky, L., Hahnfeldt, P., Paradoxical dependencies of tumor dormancy and progression on basic cell kinetics, Cancer Res., 69: 8814-8821 (2009) [pdf]

Gordon, K., Leuwen, I.M.M., Lain, S., Chaplain, M.A.J., Spatio-temporal modelling of the p53-mdm2 oscillatory system, Math. Model. Nat. Phenom., 4: 97-116 (2009) [pdf]

Joshi, B., Wang, X., Banerjee, S., Tian, H., Matzavinos, A., Chaplain, M.A.J., On immunotherapies and cancer vaccination protocols: A mathematical modelling approach, J. Theor. Biol., 259: 820-827 (2009) [pdf]

Macklin, P., McDougall, S., Anderson, A.R.A., Chaplain, M.A.J., Cristini, V., Lowengrub, J., Multiscale modelling and nonlinear simulation of vascular tumour growth, J. Math. Biol., 58: 765-798 (2009) [pdf]

Ramis-Conde, I., Chaplain, M.A.J., Anderson, A.R.A., Drasdo, D., Multi-scale modelling of cancer cell intravasation: the role of cadherins in metastasis, Phys. Biol., 6 (2009) [pdf]

Szymanska, Z., Morales Rodrigo, C., Lachowicz, M., Chaplain, M.A.J., Mathematical modelling of cancer invasion of tissue: the role and effect of nonlocal interactions, Math. Mod. Meth. Appl. Sci., 19: 257-281 (2009) [pdf]

2008

Gerisch, A., Chaplain, M.A.J., Mathematical modelling of cancer cell invasion of tissue: local and non-local models and the effect of adhesion, J. Theor. Biol., 250: 684-704 (2008) [pdf]

Gerlee, P., Anderson, A.R.A., A hybrid cellular automaton model of clonal evolution in cancer: the emergence of the glycolytic phenotype, J. Theor. Biol., 250(4): 705-722 (2008) [pdf]

Lejeune, O., Chaplain, M.A.J., El-Akili, I., Oscillations and bistability in the dynamics of cytotoxic reactions mediated by the response of immune cells to solid tumours, Math. Comput. Modell., 47: 649-662 (2008) [pdf]

Mistry, H.B., MacCallum, D.E., Jackson, R.C., Chaplain, M.A.J., Davidson, F.A., Modeling the temporal evolution of the spindle assembly checkpoint and role of Aurora B kinase, PNAS, 105: 20215-20220 (2008) [pdf]

Ramis-Conde, I., Drasdo, D., Chaplain, M.A.J., Anderson, A.R.A., Modelling the influence of the E-Cadherin-β-Catenin pathway in cancer cell invasion and tissue architecture: a multi-scale approach, Biophys. J., 95: 155-165 (2008) [pdf]

Ramis-Conde, I., Chaplain, M.A.J., Anderson, A.R.A., Mathematical modelling of cancer cell invasion of tissue, Math. Comput. Modell., 47: 533-545 (2008) [pdf]

Smith, M., Kobine, J.J., Davidson, F.A., Free and forced motion in an asymmetric liquid-column oscillator, Proc. R. Soc. A., 464: 905-922 (2008) [pdf]

Stephanou, A., Mylona, E., Chaplain, M.A.J., Tracqui, P., A computational model of cell migration coupling the growth of focal adhesions with oscillatory cell protrusions, J. Theor. Biol., 253: 701-716 (2008) [pdf]

2007

Boswell, G.P., Davidson, F.A., Diffusion fronts in enzyme-catalysed reactions, J. Eng. Math., 59: 157-169 (2007) [pdf]

Boswell, G.P., Jacobs, H., Ritz, K., Gadd, G.M., Davidson, F.A., The development of fungal networks in complex environments, Bull. Math. Biol., 69: 605-634 (2007) [pdf]

Bowen, A.D., Davidson, F.A., Keatch, R., Gadd, G.M., Induction of contour sensing in aspergillus niger by stress and its relevance to fungal growth mechanics and hyphal tip structure, Fungal Genetics and Biology, 44: 484-491 (2007) [pdf]

Bowen, A.D., Davidson, F.A., Keatch, R., Gadd, G.M., Effect of nutrient availability on hyphal maturation and topographical sensing in aspergillus niger, Mycoscience, 48: 145-151 (2007) [pdf]

Davidson, F.A., Mathematical modelling of the form and function of fungal mycelia, Fungi in the Environment, Gadd, Watkins and Dyer (eds.), Cambridge University Press

Davidson, F.A., Mathematical modelling of mycelia: a question of scale, Fungal Biology Reviews, 21: 30-41 (2007) [pdf]

Enderling, H., Chaplain, M.A.J., Anderson, A.R.A., Vaidya, J., A mathematical model of breast cancer development, local treatment and recurrence, J. Theor. Biol., 246: 245-259 (2007) [pdf]

Pearce, I.G., Chaplain, M.A.J., Schofield, P.G., Anderson, A.R.A., Hubbard, S.F., Chemotaxis-induced spatio-temporal heterogeneity in multi-species host-parasitoid systems, J. Math. Biol., 55: 365-388 (2007) [pdf]

Samoletov, A.A., Dettmann, C.P., Chaplain, M.A.J., Thermostats for slow configurational modes, J. Stat. Phys., 128: 1321-1336 (2007) [pdf]

2006

Chaplain, M.A.J., Lolas, G., Mathematical modelling of cancer invasion of tissue: dynamic heterogeneity, Net. Hetero. Med. 1: 399-439 (2006) [pdf]

Chaplain, M.A.J., McDougall, S.R., Anderson, A.R.A., Mathematical modelling of tumor-induced angiogenesis, Annu. Rev. Biomed. Eng., 8: 233-257 (2006) [pdf]

Chaplain, M.A.J., Graziano, L. Preziosi, L., Mathematical modelling of the loss of tissue compression responsiveness and its role in solid tumour development, Math. Med. Biol., 23: 197-229 (2006) [pdf]

Enderling, H., Anderson, A.R.A., Chaplain, M.A.J., Rowe, G.W., Visualisation of the numerical solution of partial differential equation systems in three space dimensions and its importance for mathematical models in biology, Math. Biosci. Eng., 3(4): 571-582 (2006) [pdf]

Enderling, H., Anderson, A.R.A., Chaplain, M.A.J., Vaidya, J.S., Mathematical modelling of radiotherapy strategies for early breast cancer, J. Theor. Biol., 241(1): 158-171 (2006) [pdf]

Gerisch, A., Chaplain, M.A.J., Robust numerical methods for taxis-diffusion-reaction systems: applications to biomedical problems, Math. Comput. Modell., 43: 49-75 (2006) [pdf]

McDougall, S.R., Anderson, A.R.A., Chaplain, M.A.J., Mathematical modelling of dynamic adaptive tumour-induced angiogenesis: clinical implications and therapeutic targeting strategies, J. Theor. Biol., 241(3): 564-589 (2006) [pdf]

Pearce, I.G., Chaplain, M.A.J., Schofield, P.G., Anderson, A.R.A., Hubbard, S.F., Modelling the spatio-temporal dynamics of multi-species host-parasitoid interactions: heterogeneous patterns and ecological implications, J. Theor. Biol., 241(4): 876-886 (2006) [pdf]

Preedy, K., Schofield, P.G., Chaplain, M.A.J., Hubbard, S.F., Disease induced dynamics in host-parasitoid systems: chaos and coexistence, Roy. Soc. Interface, 4: 463-471 (2006) [pdf]

Schor, S.L., Ellis, I.R., Harada, K., Motegi, K. Anderson, A.R.A., Chaplain, M.A.J., Keatch, R.P., Schor, A.M., A novel sandwich assay for quantifying chemo-regulated cell migration within 3-dimensional matrices: wound healing cytokines exhibit distinct motogenic activities compared to the transmembrane assay, Cell Motil. Cytoskel., 63: 287-300 (2006) [pdf]

Stephanou, A., McDougall, S., Anderson, A.R.A., Chaplain, M.A.J., Mathematical modelling of the influence of blood rheological properties upon adaptive tumour-induced angiogenesis, Math. Comput. Modell., 44: 96-123 (2006) [pdf]

Xu, R., Chaplain, M.A.J., Davidson, F.A., Travelling wave and convergence in stage-structured reaction-diffusion competitive models with nonlocal delays, Chaos Sol. Fract., 30: 974-992 (2006) [pdf]

Xu, R., Chaplain, M.A.J., Davidson, F.A., A Lotka-Volterra type food chain model with stage structure and time delays, J. Math. Anal. Appl., 315: 90-105 (2006) [pdf]

Xu, R., Chaplain, M.A.J., Davidson, F.A., Global convergence of a reaction-diffusion predator-prey model with stage structure for the predator, Appl. Math. Comp., 176: 388-401 (2006) [pdf]

Xu, R., Chaplain, M.A.J., Davidson, F.A., Periodic solutions of a Lotka-Volterra type multi-species population model with time delays, Math. Nachrichten, 279: 911-927 (2006) [pdf]

2005

Chaplain, M.A.J., Lolas, G., Mathematical modelling of cancer cell invasion of tissue: the role of the urokinase plasminogen activation system, Math. Modell. Methods. Appl. Sci., 15: 1685-1734 (2005) [pdf]

Schofield, P.G., Chaplain, M.A.J., Hubbard, S.F., Evolution of searching and life history traits in individualbased models of host-parasitoid-microbe associations, J. Theor. Biol., 237(1): 1-16 (2005) [pdf]

Stephanou, A., McDougall, S.R., Anderson, A.R.A., Chaplain, M.A.J., Mathematical modelling of flow in 2D and 3D vascular networks: applications to anti-angiogenic and chemotherapeutic drug strategies, Math. Comput. Modell., 41: 1137-1156 (2005) [pdf]

Stoleriu, J., Davidson, F.A., Liu, J., Effects of periodic input on the quasi-steady state assumptions for enzyme-catalysed reactions, J. Math. Biol., 50: 115-132 (2005) [pdf]

Valenciano, J., Chaplain, M.A.J., A Laguerre-Legendre spectral element method for the solution of partial differential equations on infinite domains: application to the diffusion of tumour angiogenesis factors, Math. Comp. Modell., 41: 1171-1192 (2005) [pdf]

Xu, R., Chaplain, M.A.J., Davidson, F.A., Periodic solutions for a predator-prey model with Holling-type functional response and time delays, Appl. Math. Comp., 161: 637-654 (2005) [pdf]

Xu, R., Chaplain, M.A.J., Davidson, F.A., Permanence and periodicity of a delayed ratio-deplendent predator-prey model with stage structure, J. Math. Anal. Appl., 303: 602-621 (2005) [pdf]

Xu, R., Chaplain, M.A.J., Davidson, F.A., Modelling and analysis of a competitive model with stage structure, Math. Comp. Modell., 41: 159-175 (2005) [pdf]

Xu, R., Chaplain, M.A.J., Davidson, F.A., Global stability of a stage-structured predator-prey model with prey dispersal, Appl. Math. Comp., 171: 293-314 (2005) [pdf]

2004

Jacobs, H., Boswell, G.P., Scrimgeour, C.M., Davidson, F.A., Gadd, G.M., Ritz, K., Translocation of carbon by Rhizoctonia solani in nutritionally-heterogeneous microcosms, Mycological Research, 108: 453-462 (2004)

Matzavinos, A., Chaplain, M.A.J., Travelling wave analysis of a model of the immune response to cancer, C. R. Biologies, 327: 995-1008 (2004) [pdf]

Matzavinos, A., Chaplain, M.A.J., Kuznetsov, V., Mathematical modelling of the spatio-temporal response of cytotoxic T-lymphocytes to a solid tumour, Math. Med. Biol., 21: 1-34 (2004) [pdf]

Samoletov, A. , Chaplain, M.A.J., Levi, V., Global spatiotemporal order and induced stochastic resonance due to a locally applied signal, Phys. Rev. E, 69 (2004)

Stephanou, A., Chaplain, M.A.J., Tracqui, P., A mathematical model for the dynamics of large membrane deformations of isolated fibroblasts, Bull. Math. Biol., 66: 1119-1154 (2004) [pdf]

Stoleriu, J., Davidson, F.A., Liu, J., Quasi-steady state assumptions for non-isolated enzyme-catalyzed reactions, J. Math. Biol., 48: 82-104 (2004) [pdf]

Valenciano, J., Chaplain, M.A.J., An explicit subparametric spectral element method of lines applied to a tumour angiogenesis system of partial differential equations, Math. Modell. Meth. Appl. Sci., 14: 1-23 (2004)

Xu, R., Chaplain, M.A.J., Davidson, F.A., Periodic solution for a three-species Lotka-Volterra food-chain model with time delays, Math. Comp. Modell., 40: 823-837 (2004) [pdf]

Xu, R., Chen, L.S., Chaplain, M.A.J., Persistence and global stability in a delayed predator-prey system with Holling-type functional response, Anziam J., 46: 121-141 (2004) [pdf]

Xu, R., Chaplain, M.A.J., Davidson, F.A., Periodic solutions of a discrete time three-species Lotka-Volterra food-chain system, Nonlinear Funct. Anal. & Appl., 9: 429-440 (2004)

Xu, R., Chaplain, M.A.J., Davidson, F.A., Periodic solution of a Lotka-Volterra predator-prey model with dispersion and time delays, Appl. Math. Comp., 148: 537-560 (2004) [pdf]

Xu, R., Chaplain, M.A.J., Davidson, F.A., Persistence and stability of a stage-structured predator-prey model with time delays, Appl. Math. Comp., 150: 259-277 (2004) [pdf]

Xu, R., Chaplain, M.A.J., Davidson, F.A., Periodic solutions of a predator-prey model with stage structure for predator, Appl. Math. Comp., 154: 847-870 (2004) [pdf]

Xu, R., Chaplain, M.A.J., Davidson, F.A., Persistence and global stability of a ratio-dependent predator-prey model with stage structure, Appl. Math. Comp., 158: 729-744 (2004) [pdf]

Xu, R., Chaplain, M.A.J., Davidson, F.A., Persistence and periodicity of a delayed ratio-dependent predator-prey model with stage structure and prey dispersal, Appl. Math. Comput., 159: 823-846 (2004) [pdf]

Xu, R., Chaplain, M.A.J., Davidson, F.A., Global stability of a Lotka-Volterra type predator-prey model with stage structure and time delay, Appl. Math. Comput., 159: 863-880 (2004) [pdf]

Xu, R., Chaplain, M.A.J., Davidson, F.A., Periodic solutions for a delayed predator-prey model of prey dispersal in two-patch environments, Nonlin. Anal. Real World Appl., 5: 183-206 (2004) [pdf]

Xu, R., Chaplain, M.A.J., Davidson, F.A., Global asymptotic stability of periodic solution for a cooperative system with time delays, Indian J. Pure Appl. Math., 35: 915-936 (2004)

Xu, R., Chaplain, M.A.J., Davidson, F.A., Periodic solutions of a discrete nonautonomous Lotka-Volterra predator-prey model with time delays, Discr. Cont. Dyn. Syst., B(4): 823-831 (2004)

2003

Boswell, G.P., Jacobs, H., Davidson, F.A., Gadd, G.M., Ritz, K., A positive numerical scheme for a mixed-type partial differential equation model for fungal growth, Appl. Math. Comp., 138: 321-340 (2003)

Boswell, G.P., Jacobs, H., Davidson, F.A., Gadd, G.M., Ritz, K., Growth and function of fungal mycelia in heterogeneous environments, Bull. Math. Biol., 65: 447-477 (2003) [pdf]

Boswell, G.P., Jacobs, H., Gadd, G.M., Ritz, K., Davidson, F.A., A mathematical approach to studying fungal mycelia, Mycologist, 17: 165-171 (2003)

Valenciano, J., Chaplain, M.A.J., Computing highly accurate solutions of a tumour angiogenesis model, Math. Modell. Meth. Appl. Sci., 13: 747-766 (2003)

Xu, R., Chen, L.S., Chaplain, M.A.J., Global asymptotic stability in n-species nonautonomous Lotka-Volterra competitive systems with delays, Acta Math. Sci., 23: 208-218 (2003)

Xu, R., Chen, L., Chaplain, M.A.J., Attractivity in a delayed three-species ratio-dependent predator-prey system without dominating instantaneous negative feedback, Acta Math. Appl. Sinica, 19: 317-332 (2003) [pdf]

2002

Feltham, D.L., Chaplain, M.A.J., Young, I.M., Crawford, J., A mathematical analysis of a minimal model of nematode migration in soil, J. Biol. Sys., 10: 15-32 (2002)

Schofield, P.G., Chaplain, M.A.J., Hubbard, S.F., Mathematical modelling of host-parasitoid systems: effects of chemically mediated parasitoid foraging strategies on within- and between-generation spatio-temporal dynamics, J. Theor. Biol., 214: 31-47 (2002)

Xu, R., Chaplain, M.A.J., Persistence and global stability in a delayed predator-prey system with Michaelis-Menten type functional response, Appl. Math. Comp. 130: 441-455 (2002) [pdf]

Xu, R., Chaplain, M.A.J., Persistence and attractivity in an N-species ratio-dependent predator-prey system with distributed time delays, Appl. Math. Comp., 131: 59-80 (2002) [pdf]

Xu, R., Chaplain, M.A.J., Chen, L., Global asymptotic stability in n-species nonautonomous Lotka-Volterra competitive systems with infinite delays, Appl. Math. Comp., 130: 295-309 (2002) [pdf]

McDougall, S.R., Anderson, A.R.A., Chaplain, M.A.J., Sherratt, J.A., Mathematical modelling of flow through vascular networks: implications for tumour-induced angiogenesis and chemotherapy strategies, Bull. Math. Biol., 64: 673-702 (2002) [pdf]

Xu, R., Davidson, F.A., Chaplain, M.A.J., Persistence and stability for a two species ratio-dependent predator-prey system with distributed time delay, J. Math. Anal. Appl., 269: 256-277 (2002) [pdf]

Xu, R., Chaplain, M.A.J., Persistence and global stability in a delayed Gause-type predator-prey system without dominating instantaneous negative feedbacks, J. Math. Anal. Appl., 265: 148-162 (2002) [pdf]

Gourley, S.A., Chaplain, M.A.J., Travelling fronts in a food-limited population model with time delay, Proc. Roy. Soc. Edin. A, 132A: 75-89 (2002) [pdf]

Davidson, F.A., Xu, R., Liu, J., Existence and uniqueness of limit cycles in an enzyme-catalysed reaction system, Appl. Math. Comp., 127: 165-179 (2002)

Jacobs, H., Boswell, G.P.,Ritz, K., Davidson, F.A., Gadd, G.M., Solubilization of calcium phosphate as a consequence of carbon translocation by Rhizoctonia solani, FEMS Microbiology Ecology, 40(1): 65-71 (2002) [pdf]

Boswell, G.P., Jacobs, H., Davidson, F.A., Gadd, G.M., Ritz, K., Functional consequences of translocation in mycelial fungi, J. Theor. Biol., 217(4): 459-477 (2002) [pdf]

Davidson, F.A., Liu, J., Global stability of the attracting set of an enzyme-catalysed reaction system, Math. Comp. Model., 35(13): 1467-1481 (2002) [pdf]

2001

Byrne, H.M., Chaplain, M.A.J., Pettet, G., McElwain, D.L.S., An analysis of a mathematical model of trophoblast invasion, Appl. Math. Letters, 14: 1005-1010 (2001) [pdf]

Chaplain, M.A.J., Ganesh, M., Graham, I.G., Spatio-temporal pattern formation on spherical surfaces: Numerical simulation and application to solid tumour growth, J. Math. Biol., 42: 387-423 (2001) [pdf]

Davidson, F.A., Gourley, S.A., The effects of temporal delays in a model for a food-limited diffusing population, Math. Anal. Appl., 261: 633-648 (2001) [pdf]

Gourley, S.A., Chaplain, M.A.J., Davidson, F.A., Spatio-temporal pattern formation in a nonlocal reaction-diffusion equation, Dyn. Syst., 16: 173-192 (2001) [pdf]

Sherratt, J.A., Chaplain, M.A.J., A new mathematical model for avascular tumour growth, J. Math. Biol., 43: 291-312 (2001) [pdf]

Xu, R., Chaplain, M.A.J., Davidson, F.A., Global asymptotic stability in a non-autonomous n-species Lotka-Volterra perdator-prey system with infinite delays, Applicable Analysis, 80: 107-126 (2001) [pdf]

Xu, R., Chaplain, M.A.J., Chen, L., Global stability for a delayed ratio-dependent predator-prey system without dominating instantaneous negative feedbacks, Comm. Appl. Nonlinear Anal., 8: 17-27 (2001)