IMA Journal of Mathematics Applied in Medicine and Biology Short Title: IMA J. Math. Appl. Med. Biol. Publisher: Oxford University Press, Oxford ISSN: 0265-0746 Online: http://imammb.oxfordjournals.org/content/by/year Successor: Mathematical Medicine and Biology Comments: Journal; No longer indexed Documents Indexed: 312 Publications (1984–2002) all top 5 Latest Issues 19, No. 4 (2002) 19, No. 3 (2002) 19, No. 2 (2002) 19, No. 1 (2002) 18, No. 4 (2001) 18, No. 3 (2001) 18, No. 2 (2001) 18, No. 1 (2001) 17, No. 4 (2000) 17, No. 3 (2000) 17, No. 2 (2000) 17, No. 1 (2000) 16, No. 4 (1999) 16, No. 3 (1999) 16, No. 2 (1999) 16, No. 1 (1999) 15, No. 4 (1998) 15, No. 3 (1998) 15, No. 2 (1998) 15, No. 1 (1998) 14, No. 4 (1997) 14, No. 3 (1997) 14, No. 2 (1997) 14, No. 1 (1997) 13, No. 4 (1996) 13, No. 3 (1996) 13, No. 2 (1996) 13, No. 1 (1996) 12, No. 3-4 (1995) 12, No. 2 (1995) 12, No. 1 (1995) 11, No. 4 (1994) 11, No. 3 (1994) 11, No. 2 (1994) 11, No. 1 (1994) 10, No. 4 (1993) 10, No. 3 (1993) 10, No. 2 (1993) 10, No. 1 (1993) 9, No. 4 (1992) 9, No. 3 (1992) 9, No. 2 (1992) 9, No. 1 (1992) 8, No. 4 (1991) 8, No. 3 (1991) 8, No. 2 (1991) 8, No. 1 (1991) 7, No. 4 (1990) 7, No. 3 (1990) 7, No. 2 (1990) 7, No. 1 (1990) 6, No. 4 (1989) 6, No. 3 (1989) 6, No. 2 (1989) 6, No. 1 (1989) 5, No. 4 (1988) 5, No. 3 (1988) 5, No. 2 (1988) 5, No. 1 (1988) 4 (1987) 3 (1986) 2 (1985) 1 (1984) all top 5 Authors 8 Anderson, Roy M. 8 Greenhalgh, David 8 Roberts, Michael George 8 Thomas, Alun 6 Chaplain, Mark A. J. 6 Maini, Philip Kumar 6 Mode, Charles J. 6 Murray, James Dickson 6 Sleeman, Brian David 5 King, John Robert 5 Sherratt, Jonathan A. 4 Antonelli, Peter Louis 4 Cannings, Chris 4 Fowler, Andrew C. 4 Gani, Joseph Mark 4 Horwood, Joseph W. 4 Renshaw, Eric 4 Ruxton, Graeme D. 4 Seymour, Robert M. 4 Sharan, Maithili 4 Sheehan, Nuala A. 4 Singh, M. P. 4 Swinton, Jonathan 4 Wake, Graeme Charles 4 Yang, Hyun Mo 3 Bassanezi, Rodney Carlos 3 Bell, Jonathan 3 Boldrini, José Luiz 3 Britton, Nicholas Ferris 3 Byrne, Helen Mary 3 Castillo-Chavez, Carlos 3 Chalabi, Zaid S. 3 Costa, Michel I. S. 3 Garnett, Geoffrey P. 3 Grindrod, Peter 3 Hung, W. T. 3 Kalamangalam, Giridhar P. 3 Lamour, A. 3 Lounes, Rachid 3 Pickens, Gary T. 3 Poznanski, Roman R. 3 Shannon, Anthony Greville 3 Swan, George W. 3 Thompson, Elizabeth A. 3 Thornton, Barry S. 3 Ward, John Paul 2 Ball, Frank G. 2 Barbour, Andrew David 2 Broom, Mark 2 Brunham, Robert C. 2 Cairns, Andrew J. G. 2 Camp, N. J. 2 Chadha-Boreham, Harbajan K. 2 De Arazoza, Hector 2 Downham, David Y. 2 Evans, Jonathan David 2 Ewbank, D. C. 2 Faddy, Malcolm J. 2 Gerrard, R. M. 2 Gibson, Gavin J. 2 Gómez, Guadalupe 2 Grenfell, Bryan T. 2 Guo, Sunwei 2 Gurney, William S. C. 2 Harbron, Chris 2 Holgate, Philip 2 Hsieh, Ying-Hen 2 Iwasa, Yoh 2 Kazarinoff, Nicholas D. 2 Kember, G. C. 2 Lenbury, Yongwimon 2 Lewis, Cathryn M. 2 Lewis, Fraser I. 2 Lexell, J. 2 Louie, Kenway 2 Magnússon, Kjartan G. 2 May, Robert McCredie 2 McClean, Sally I. 2 McElwain, D. L. Sean 2 Medley, Graham F. 2 Metz, Johan A. Jacob 2 Millard, Peter H. 2 Milne, Alice E. 2 Murray, John M. 2 Nani, Frank K. 2 Nisbet, Roger M. 2 Norbury, John W. 2 Oguztöreli, Mehmet Namik 2 Orme, Michelle E. 2 Owens, D. R. 2 Perelson, Alan S. 2 Phelps, F. M. IV 2 Reed, William J. 2 Schaffer, William Morris 2 Singh, Balbir 2 Skolnick, Mark H. 2 Stuart, Andrew M. 2 van den Bosch, Frank 2 Velasco-Hernandez, Jorge X. 2 Westwood, Norman ...and 325 more Authors all top 5 Fields 303 Biology and other natural sciences (92-XX) 56 Ordinary differential equations (34-XX) 38 Probability theory and stochastic processes (60-XX) 34 Partial differential equations (35-XX) 25 Numerical analysis (65-XX) 24 Statistics (62-XX) 15 Calculus of variations and optimal control; optimization (49-XX) 13 Systems theory; control (93-XX) 12 Dynamical systems and ergodic theory (37-XX) 9 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 8 Operations research, mathematical programming (90-XX) 7 Integral equations (45-XX) 5 Optics, electromagnetic theory (78-XX) 4 Combinatorics (05-XX) 3 Nonassociative rings and algebras (17-XX) 3 Difference and functional equations (39-XX) 3 Fluid mechanics (76-XX) 2 Operator theory (47-XX) 2 Computer science (68-XX) 1 General and overarching topics; collections (00-XX) 1 Commutative algebra (13-XX) 1 Algebraic geometry (14-XX) 1 Approximations and expansions (41-XX) 1 Mechanics of deformable solids (74-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 218 Publications have been cited 2,175 times in 1,787 Documents Cited by ▼ Year ▼ Epidemics in predator-prey models: disease in the predators. Zbl 1014.92036 Venturino, Ezio 135 2002 A preliminary study of the transmission dynamics of the human immunodeficiency virus (HIV), the causative agent of AIDS. Zbl 0609.92025 Anderson, R. M.; Medley, G. F.; May, R. M.; Johnson, A. M. 122 1986 On the zeros of a third degree exponential polynomial with applications to a delayed model for the control of testosterone secretion. Zbl 0982.92008 Ruan, Shigui; Wei, Junjie 112 2001 Mathematical modelling of avascular-tumour growth. Zbl 0866.92011 Ward, J. P.; King, J. R. 88 1997 An age-structured model of pre- and post-vaccination measles transmission. Zbl 0611.92021 Schenzle, Dieter 84 1984 A model mechanism for the chemotactic response of endothelial cells to tumour angiogenesis factor. Zbl 0783.92019 Chaplain, M. A. J.; Stuart, A. M. 84 1993 A delay differential equation model on harmful algal blooms in the presence of toxic substances. Zbl 1013.92046 Chattopadhyay, J.; Sarkar, R. R.; El Abdllaoui, A. 75 2002 Mathematical modelling of avascular-tumour growth. II: Modelling growth saturation. Zbl 0943.92019 Ward, J. P.; King, J. R. 55 1999 A general solution of the problem of mixing of subpopulations and its application to risk- and age-structured epidemic models for the spread of AIDS. Zbl 0764.92017 Busenberg, Stavros; Castillo-Chavez, Carlos 55 1991 Aggregation in model ecosystems. II: Approximate aggregation. Zbl 0659.92023 Iwasa, Yoh; Levin, Simon A.; Andreasen, Viggo 39 1989 Delay effect in a model for virus replication. Zbl 0914.92012 Tam, Judy 38 1999 Estimating parameters in stochastic compartmental models using Markov chain methods. Zbl 0916.92024 Gibson, Gavin J.; Renshaw, Eric 37 1998 The control of childhood viral infections by pulse vaccination. Zbl 0832.92024 Nokes, D. James; Swinton, Jonathan 36 1995 A mathematical model of the first steps of tumour-related angiogenesis: Capillary sprout formation and secondary branching. Zbl 0849.92009 Orme, M. E.; Chaplain, M. A. J. 30 1996 Spatial, temporal, and genetic heterogeneity in host populations and the design of immunization programmes. Zbl 0611.92020 Anderson, Roy M.; May, Robert M. 30 1984 Distributed incubation and infectious periods in models of the transmission dynamics of the human immunodeficiency virus (HIV). Zbl 0686.92015 Blythe, S. P.; Anderson, R. M. 29 1988 Generation of biological pattern and form. Zbl 0611.92003 Murray, J. D.; Oster, G. F. 29 1984 Modelling the macrophage invasion of tumours: Effects on growth and composition. Zbl 0909.92022 Owen, Markus R.; Sherratt, Jonathan A. 27 1998 Some results for an SEIR epidemic model with density dependence in the death rate. Zbl 0805.92025 Greenhalgh, David 27 1992 Can nonlinear dynamics elucidate mechanisms in ecology and epidemiology? Zbl 0609.92034 Schaffer, W. M. 25 1985 Pattern formation in reaction-diffusion models with spatially inhomogeneous diffusion coefficients. Zbl 0767.92004 Maini, Philip K.; Benson, Debbie L.; Sherratt, Jonathan A. 24 1992 A mathematical model for the capillary endothelial cell-extracellular matrix interactions in wound-healing angiogenesis. Zbl 0891.92016 Olsen, Luke; Sherratt, Jonathan A.; Maini, Philip K.; Arnold, Frank 23 1997 Variable infectiousness in HIV transmission models. Zbl 0655.92021 Blythe, S. P.; Anderson, R. M. 22 1988 General applications of optimal control theory in cancer chemotherapy. Zbl 0678.92003 Swan, G. W. 22 1988 Threshold and stability results for an epidemic model with an age- structured meeting rate. Zbl 0665.92013 Greenhalgh, David 21 1988 Instability in mortality estimation schemes related to stage-structure population models. Zbl 0659.92018 Wood, S. N.; Blythe, S. P.; Gurney, W. S. C.; Nisbet, R. M. 20 1989 Mathematical modelling of quorum sensing in bacteria. Zbl 0998.92043 Ward, J. P.; King, J. R.; Koerber, A. J.; Williams, P.; Croft, J. M.; Sockett, R. E. 20 2001 Two-dimensional models of tumour angiogenesis and anti-angiogenesis strategies. Zbl 0894.92022 Orme, M. E.; Chaplain, M. A. J. 20 1997 Selective strategies in food webs. Zbl 0807.92025 Colombo, Rinaldo M.; Křivan, Vlastimil 19 1993 Analytical results on the stability of age-structured recurrent epidemic models. Zbl 0661.92023 Greenhalgh, David 18 1987 The importance of intercellular adhesion in the development of carcinomas. Zbl 0891.92017 Byrne, H. M. 17 1997 A methodological study of a nonlinear stochastic model of an AIDS epidemic with recruitment. Zbl 0685.92011 Mode, Charles J.; Gollwitzer, Herman E.; Salsburg, Michael A.; Sleeman, Candace K. 16 1989 A model for analysing plant-virus transmission characteristics and epidemic development. Zbl 0945.92019 Jeger, M. J.; van den Bosch, F.; Madden, L. V.; Holt, J. 14 1998 Lotka-Volterra equations with chemotaxis: walls, barriers and travelling waves. Zbl 0969.92020 Pettet, G. J.; McElwain, D. L. S.; Norbury, J. 14 2000 Hopf bifurcation in host-parasitoid models. Zbl 0609.92029 Lauwerier, H. A.; Metz, J. A. J. 14 1986 Tumour dynamics and necrosis: Surface tension and stability. Zbl 0973.92017 Landman, K. A.; Please, C. P. 13 2001 A mathematical treatment of AIDS and condom use. Zbl 0998.92032 Greenhalgh, David; Doyle, Murray; Lewis, Fraser 13 2001 A nonlinear model for a sexually transmitted disease with contact tracing. Zbl 1014.92035 de Arazoza, H.; Lounes, R. 13 2002 Heterogeneous sexual activity models of HIV transmission in male homosexual populations. Zbl 0688.92010 Blythe, S. P.; Anderson, R. M. 12 1988 From stripes to spots: Prepatterns which can be produced in the skin by a reaction-diffusion system. Zbl 0769.92006 Nagorcka, B. N.; Mooney, J. R. 12 1992 Chaos and complexity in measles models: A comparative numerical study. Zbl 0780.92021 Bolker, Benjamin 12 1993 Modelling and simulation of Rosenberg-type adoptive cellular immunotherapy. Zbl 0821.92017 Nani, Frank K.; Oǧuztöreli, M. Namik 12 1994 Nature of equilibria and effects of drug treatments in some simple viral population dynamical models. Zbl 0966.92011 Tuckwell, Henry C.; Wan, Frederic Y. M. 11 2000 Saddlepoint approximations for stochastic processes with truncated cumulant generating functions. Zbl 0906.92026 Renshaw, Eric 10 1998 Dynamic resource allocation for epidemic control in multiple populations. Zbl 1042.92032 Zaric, Gregory S.; Brandeau, Margaret L. 10 2002 Optimal control applications in the chemotherapy of multiple myeloma. Zbl 0609.92005 Swan, George W. 10 1985 Matrix-geometric methods for the general stochastic epidemic. Zbl 0609.92027 Gani, J.; Purdue, P. 10 1984 Effects of treatment and prevalence-dependent recruitment on the dynamics of a fatal disease. Zbl 0857.92015 Velasco-Hernández, Jorge X.; Brauer, Fred; Castillo-Chavez, Carlos 10 1996 Transient periodicity and episodic predictability in biological dynamics. Zbl 0791.92021 Schaffer, W. M.; Kendall, B. E.; Tidd, C. W.; Olsen, L. F. 10 1993 Optimal chemotherapy: A case study with drug resistance, saturation effect, and toxicity. Zbl 0816.92008 Costa, M. I. S.; Boldrini, J. L.; Bassanezi, R. C. 10 1994 Fluid flow in the anterior chamber of a human eye. Zbl 1013.92014 Canning, C. R.; Greaney, M. J.; Dewynne, J. N.; Fitt, A. D. 10 2002 Density-dependent dynamics and superinfection in an epidemic model. Zbl 0937.92028 Mena-Lorca, Jaime; Velasco-Hernandez, Jorge X.; Castillo-Chavez, Carlos 9 1999 Stochastic effects in a model of nematode infection in ruminants. Zbl 0906.92020 Marion, Glenn; Renshaw, Eric; Gibson, Gavin 9 1998 Cross immunity and vaccination against multiple microparasite strains. Zbl 0908.92028 White, L. J.; Cox, M. J.; Medley, G. F. 9 1998 Hopf bifurcation in epidemic models with a time delay in vaccination. Zbl 0943.92031 Khan, Q. J. A.; Greenhalgh, David 9 1999 A mathematical model for the diffusion of tumour angiogenesis factor into the surrounding host tissue. Zbl 0737.92007 Chaplain, M. A. J.; Stuart, A. M. 9 1991 An SEI model with density-dependent demographics and epidemiology. Zbl 0863.92013 Roberts, M. G.; Jowett, J. 9 1996 Balancing sexual partnerships in an age and activity stratified model of HIV transmission in heterosexual populations. Zbl 0808.92026 Garnett, Geoffrey P.; Anderson, Roy M. 9 1994 Steady-state spatial patterns in a cell-chemotaxis model. Zbl 0674.92009 Grindrod, P.; Murray, J. D.; Sinha, S. 8 1989 Modelling corneal epithelial wound closure in the presence of physiological electric fields via a moving boundary formalism. Zbl 0982.92014 Gaffney, E. A.; Maini, P. K.; McCaig, C. D.; Zhao, M.; Forrester, J. V. 8 1999 Epidemics in heterogeneous populations: Aspects of optimal vaccination policies. Zbl 0687.92010 Cairns, Andrew J. G. 8 1989 Variable maturation velocity and parameter sensitivity in a model of haematopoiesis. Zbl 0973.92009 Bélair, Jacques; Mahaffy, Joseph M. 8 2001 Optimal chemical control of populations developing drug resistance. Zbl 0779.92011 Costa, M. I. S.; Boldrini, J. L.; Bassanezi, R. C. 8 1992 Analysis of wave phenomena in a morphogenetic mechanochemical model and an application to post-fertilization waves on eggs. Zbl 0623.92008 Lane, D. C.; Murray, J. D.; Manoranjan, V. S. 8 1987 Algebraic isotopy in genetics. Zbl 0628.92018 Campos, Tania M. M.; Holgate, Philip 7 1987 Stage-structure models of populations with distinct growth and development processes. Zbl 0613.92019 Nisbet, R. M.; Blythe, S. P.; Gurney, W. S. C.; Metz, J. A. J. 7 1985 Differential offensive-defensive games between plants and herbivores. Zbl 0622.92024 Antonelli, P. L.; Skowronski, J. M. 7 1986 Global stability results for epidemic models with latent period. Zbl 0728.92020 Rinaldi, F. 7 1990 An epidemic model with a density-dependent death rate. Zbl 0751.92014 Greenhalgh, David 7 1990 Evaluation of likelihood ratios for complex genetic models. Zbl 0739.62082 Thompson, E. A.; Guo, Sun Wei 7 1991 The population dynamics of nematode infections of ruminants: Periodic perturbations as a model for management. Zbl 0737.92016 Roberts, M. G.; Grenfell, B. T. 7 1991 Mathematical modelling of the spread of HIV/AIDS amongst injecting drug users. Zbl 0867.92022 Greenhalgh, David; Hay, Gordon 7 1997 Effects of vaccination programmes on transmission rates of infections and related threshold conditions for control. Zbl 0813.92025 Bezerra Coutinho, Françisco Antonio; Massad, Eduardo; Nascimento Burattini, Marcelo; Yang, Hyun Mo; Soares de Azevedo Neto, Raymundo 7 1993 Membrane voltage changes in passive dendritic trees: A tapering equivalent cylinder model. Zbl 0651.92010 Poznański, R. R. 6 1988 Approaches to the space-time modelling of infectious disease behaviour. Zbl 0951.92024 Lawson, Andrew B.; Leimich, Petra 6 2000 The optimal scheduling of two drugs with simple resistance for a problem in cancer chemotherapy. Zbl 0911.92017 Murray, J. M. 6 1997 Behaviour of some models of myelinated axons. Zbl 0611.92011 Bell, Jonathan 6 1984 Sexual contact patterns between men and women and the spread of HIV-1 in urban centres in Afrika. Zbl 0738.92016 Boily, Marie-Claude; Anderson, Roy M. 6 1991 The population dynamics of nematode infections of ruminants: The effect of seasonality in the free-living stages. Zbl 0767.92025 Roberts, M. G.; Grenfell, B. T. 6 1992 A two-sex model for treatment of HIV/AIDS and behaviour change in a population of varying size. Zbl 0857.92014 Hsieh, Ying-Hen 6 1996 Mathematical models of wound healing in embryonic and adult epidermis. Zbl 0767.92013 Sherratt, Jonathan A.; Martin, Paul; Murray, J. D.; Lewis, Julian 6 1992 Asymmetric growth of models of avascular solid tumours: exploiting symmetries. Zbl 1014.92019 Byrne, Helen; Matthews, Paul 6 2002 Optimal harvesting of a fishery subject to random catastrophic collapse. Zbl 0657.90032 Reed, William J. 5 1988 Dispersal and stability in metapopulations. Zbl 0937.92025 Rohani, Pejman; Ruxton, Graeme D. 5 1999 The basic reproduction ratio for a model of directly transmitted infections considering the virus charge and the immunological response. Zbl 0963.92035 Ferreira Leite, Maria Beatriz; Bassanezi, Rodney Carlos; Yang, Hyun Mo 5 2000 Behaviour change and treatment of core groups: Its effect on the spread of HIV/AIDS. Zbl 0970.92023 Hsien, Ying-Hen; Cooke, Kenneth 5 2000 Stochastic models for systems of interacting ion channels. Zbl 0968.92008 Ball, Frank G.; Milne, Robin K.; Yeo, Geoffrey F. 5 2000 Biological implications of a discrete mathematical model for collagen deposition and alignment in dermal wound repair. Zbl 0966.92009 Dallon, John; Sherratt, Jonathan; Maini, Philip; Ferguson, Mark 5 2000 Optimal chemotherapy regimens: Influence of tumours on normal cells and several toxicity constraints. Zbl 0988.92015 Matveev, Alexey S.; Savkin, Andrey V. 5 2001 Binomial cokriging for estimating and mapping the risk of childhood cancer. Zbl 0916.62083 Oliver, M. A.; Webster, R.; Lajaunie, C.; Muir, K. R.; Parkes, S. E.; Cameron, A. H.; Stevens, M. C. G.; Mann, J. R. 5 1998 The master equation for neural interaction. Zbl 0609.92011 van den Boogaard, Henk F. P.; Johannesma, Peter I. M. 5 1984 Optimal control analysis of a cancer chemotherapy problem. Zbl 0616.92002 Swan, George W. 5 1987 A mathematical model for the production and secretion of tumour angiogenesis factor in tumours. Zbl 0711.92010 Chaplain, M. A. J.; Sleeman, B. D. 5 1990 On \(k\)th-order Bernstein algebras and stability at the \(k+1\) generation in polyploids. Zbl 0726.17040 Hentzel, Irvin Roy; Peresi, Luiz Antonio; Holgate, Philip 5 1990 Monte Carlo estimation of variance component models for large complex pedigrees. Zbl 0739.62081 Guo, Sun Wei; Thompson, Elizabeth A. 5 1991 Finite-element analysis of oxygen transport in the systemic capillaries. Zbl 0738.92003 Sharan, Maithili; Singh, Balbir; Singh, M. P.; Kumar, Pawan 5 1991 Sequential pattern formation in a model for skin morphogenesis. Zbl 0769.92003 Cruywagen, Gerhard C.; Maini, P. K.; Murray, J. D. 5 1992 Modelling the spread of HIV among intravenous drug users. Zbl 0774.92017 Gani, J.; Yakowitz, S. 5 1993 Suicide substrate reaction-diffusion equations: Varying the source. Zbl 0779.92010 Burke, Meghan A.; Maini, P. K.; Murray, J. D. 5 1993 A model for the periodic synaptic inhibition of a neuronal oscillator. Zbl 0629.92004 Kiemel, Tim; Holmes, Philip 4 1987 Epidemics in predator-prey models: disease in the predators. Zbl 1014.92036 Venturino, Ezio 135 2002 A delay differential equation model on harmful algal blooms in the presence of toxic substances. Zbl 1013.92046 Chattopadhyay, J.; Sarkar, R. R.; El Abdllaoui, A. 75 2002 A nonlinear model for a sexually transmitted disease with contact tracing. Zbl 1014.92035 de Arazoza, H.; Lounes, R. 13 2002 Dynamic resource allocation for epidemic control in multiple populations. Zbl 1042.92032 Zaric, Gregory S.; Brandeau, Margaret L. 10 2002 Fluid flow in the anterior chamber of a human eye. Zbl 1013.92014 Canning, C. R.; Greaney, M. J.; Dewynne, J. N.; Fitt, A. D. 10 2002 Asymmetric growth of models of avascular solid tumours: exploiting symmetries. Zbl 1014.92019 Byrne, Helen; Matthews, Paul 6 2002 Population-induced oscillations in blended SI-SEI epidemiological models. Zbl 1013.92040 Manfredi, Piero; Salinelli, Ernesto 3 2002 Ticks and tick-borne diseases in Africa: A disease transmission model. Zbl 1042.92031 Mwambi, Henry G. 2 2002 The stability of internal equilibria in predator-prey models with breeding suppression. Zbl 1013.92037 Ruxton, Graeme D.; Khan, Q. J. A.; Al-Lawatia, Mohamed 2 2002 Periodic breathing at high altitude. Zbl 1042.92003 Fowler, Andrew C.; Kalamangalam, G. P. 1 2002 Quasi-steady state approximation to a fungal growth model. Zbl 1013.92048 Lamour, A.; van den Bosch, F.; Termoshuizen, A. J.; Jeger, M. J. 1 2002 Modelling plant virus epidemics in a plantation-nursery system. Zbl 1013.92042 Jeger, M. J.; Van den Bosch, F.; Dutmer, M. Y. 1 2002 The effects of re-infection in directly transmitted infections modelled with vaccination. Zbl 1014.92034 Yang, Hyun Mo 1 2002 On the zeros of a third degree exponential polynomial with applications to a delayed model for the control of testosterone secretion. Zbl 0982.92008 Ruan, Shigui; Wei, Junjie 112 2001 Mathematical modelling of quorum sensing in bacteria. Zbl 0998.92043 Ward, J. P.; King, J. R.; Koerber, A. J.; Williams, P.; Croft, J. M.; Sockett, R. E. 20 2001 Tumour dynamics and necrosis: Surface tension and stability. Zbl 0973.92017 Landman, K. A.; Please, C. P. 13 2001 A mathematical treatment of AIDS and condom use. Zbl 0998.92032 Greenhalgh, David; Doyle, Murray; Lewis, Fraser 13 2001 Variable maturation velocity and parameter sensitivity in a model of haematopoiesis. Zbl 0973.92009 Bélair, Jacques; Mahaffy, Joseph M. 8 2001 Optimal chemotherapy regimens: Influence of tumours on normal cells and several toxicity constraints. Zbl 0988.92015 Matveev, Alexey S.; Savkin, Andrey V. 5 2001 A control theoretic approach to containing the spread of rabies. Zbl 0985.92035 Evans, N. D.; Pritchard, A. J. 4 2001 A model of Gambian sleeping sickness with open vector populations. Zbl 0973.92023 Artzrouni, Marc; Gouteux, Jean-Paul 3 2001 Analysis and comparison of multimodal cancer treatments. Zbl 1013.92023 Beil, Damian R.; Wein, Lawrence M. 3 2001 Pro-inflammatory-anti - inflammatory cytokine dynamics mediated by cytokine-receptor dynamics in monocytes. Zbl 1004.92024 Seymour, R. M.; Henderson, B. 2 2001 Genetic associations under mixed mating systems: The Bennett-Binet effect. Zbl 1013.92028 Vargas, J. A.; del Castillo, Rafael F. 2 2001 Enhanced efficiency of feeding and mixing due to chaotic flow patterns around choanoflagellates. Zbl 0998.92004 Orme, B. A. A.; Otto, S. R.; Blake, J. R. 1 2001 Lotka-Volterra equations with chemotaxis: walls, barriers and travelling waves. Zbl 0969.92020 Pettet, G. J.; McElwain, D. L. S.; Norbury, J. 14 2000 Nature of equilibria and effects of drug treatments in some simple viral population dynamical models. Zbl 0966.92011 Tuckwell, Henry C.; Wan, Frederic Y. M. 11 2000 Approaches to the space-time modelling of infectious disease behaviour. Zbl 0951.92024 Lawson, Andrew B.; Leimich, Petra 6 2000 The basic reproduction ratio for a model of directly transmitted infections considering the virus charge and the immunological response. Zbl 0963.92035 Ferreira Leite, Maria Beatriz; Bassanezi, Rodney Carlos; Yang, Hyun Mo 5 2000 Behaviour change and treatment of core groups: Its effect on the spread of HIV/AIDS. Zbl 0970.92023 Hsien, Ying-Hen; Cooke, Kenneth 5 2000 Stochastic models for systems of interacting ion channels. Zbl 0968.92008 Ball, Frank G.; Milne, Robin K.; Yeo, Geoffrey F. 5 2000 Biological implications of a discrete mathematical model for collagen deposition and alignment in dermal wound repair. Zbl 0966.92009 Dallon, John; Sherratt, Jonathan; Maini, Philip; Ferguson, Mark 5 2000 Multiple dose vaccination against childhood diseases: High coverage with the first dose remains crucual for eradication. Zbl 0966.92014 Paulo, A. C.; Gomes, M. C.; Casinhas, A. C.; Horta, A.; Domingos, T. 4 2000 Higher-dimensional separation principle for the analysis of relaxation oscillations in nonlinear systems: Application to a model of HIV infection. Zbl 0966.92013 Lenbury, Yongwimon; Ouncharoen, Rujira; Tumrasvin, Nardtida 4 2000 The role of the central chemoreceptor in causing periodic breathing. Zbl 0952.92009 Fowler, A. C.; Kalamangalam, G. P. 3 2000 Therapy burden, drug resistance, and optimal treatment regimen for cancer chemotherapy. Zbl 0949.92015 Boldrini, José L.; Costa, Michel I. S. 2 2000 A spatial model of antipredator vigilance. Zbl 0949.92027 Proctor, C. J.; Broom, M. 2 2000 Stability analysis of a general age-dependent vaccination model for a vertically transmitted disease under the proportionate mixing assumption. Zbl 0997.92037 El-Doma, M. 1 2000 Estimating vaccine coverage by using computer algebra. Zbl 0951.92023 Altmann, Doris; Altmann, Klaus 1 2000 Analytic solutions to compartmental models of the HIV/AIDS epidemic. Zbl 0966.92021 Griffiths, Jeff; England, Tracey; Williams, Janet 1 2000 Modelling the growth of soil-borne fungi in response to carbon and nitrogen. Zbl 0970.92026 Lamour, A.; Van den Bosch, F.; Thermoshuizen, A. J.; Jeger, M. J. 1 2000 Analysis of a multiple equivalent cylinder model with generalized taper. Zbl 0970.92004 Evans, J. D. 1 2000 Mathematical modelling of avascular-tumour growth. II: Modelling growth saturation. Zbl 0943.92019 Ward, J. P.; King, J. R. 55 1999 Delay effect in a model for virus replication. Zbl 0914.92012 Tam, Judy 38 1999 Density-dependent dynamics and superinfection in an epidemic model. Zbl 0937.92028 Mena-Lorca, Jaime; Velasco-Hernandez, Jorge X.; Castillo-Chavez, Carlos 9 1999 Hopf bifurcation in epidemic models with a time delay in vaccination. Zbl 0943.92031 Khan, Q. J. A.; Greenhalgh, David 9 1999 Modelling corneal epithelial wound closure in the presence of physiological electric fields via a moving boundary formalism. Zbl 0982.92014 Gaffney, E. A.; Maini, P. K.; McCaig, C. D.; Zhao, M.; Forrester, J. V. 8 1999 Dispersal and stability in metapopulations. Zbl 0937.92025 Rohani, Pejman; Ruxton, Graeme D. 5 1999 A mathematical model of the ecology of Lyme disease. Zbl 0945.92018 Porco, Travis C. 3 1999 Modelling and simulation of chemotherapy of haematological and gynaecological cancers. Zbl 0982.92017 Nani, Frank K.; Oǧuztöreli, M. Namik 2 1999 Multihost, multiparasite systems: An application of bifurcation theory. Zbl 0935.92031 Greenman, J. V.; Hudson, P. J. 1 1999 Dynamics of Japanese encephalitis – A study in mathematical epidemiology. Zbl 0926.92030 Ghosh, Asit K.; Tapaswi, P. K. 1 1999 Estimating parameters in stochastic compartmental models using Markov chain methods. Zbl 0916.92024 Gibson, Gavin J.; Renshaw, Eric 37 1998 Modelling the macrophage invasion of tumours: Effects on growth and composition. Zbl 0909.92022 Owen, Markus R.; Sherratt, Jonathan A. 27 1998 A model for analysing plant-virus transmission characteristics and epidemic development. Zbl 0945.92019 Jeger, M. J.; van den Bosch, F.; Madden, L. V.; Holt, J. 14 1998 Saddlepoint approximations for stochastic processes with truncated cumulant generating functions. Zbl 0906.92026 Renshaw, Eric 10 1998 Stochastic effects in a model of nematode infection in ruminants. Zbl 0906.92020 Marion, Glenn; Renshaw, Eric; Gibson, Gavin 9 1998 Cross immunity and vaccination against multiple microparasite strains. Zbl 0908.92028 White, L. J.; Cox, M. J.; Medley, G. F. 9 1998 Binomial cokriging for estimating and mapping the risk of childhood cancer. Zbl 0916.62083 Oliver, M. A.; Webster, R.; Lajaunie, C.; Muir, K. R.; Parkes, S. E.; Cameron, A. H.; Stevens, M. C. G.; Mann, J. R. 5 1998 The effect of chemotaxis and chemokinesis on leukocyte locomotion: A new interpretation of experimental results. Zbl 0908.92018 Byrne, H. 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J. 24 Chen, Lansun 24 Maini, Philip Kumar 19 Greenhalgh, David 18 Chattopadhyay, Joydev 17 Wei, Junjie 16 Jiang, Daqing 16 Jiang, Zhichao 14 Auger, Pierre M. 14 Castillo-Chavez, Carlos 14 Feng, Zhilan 14 Křivan, Vlastimil 14 Tan, Wai-Yuan 13 Song, Xinyu 12 Murray, James Dickson 11 King, John Robert 11 Simpson, Matthew J. 10 Bairagi, Nandadulal 10 Hethcote, Herbert W. 10 Hu, Bei 10 Jin, Zhen 10 Samanta, Guru Prasad 10 Samanta, Sudip 10 Sherratt, Jonathan A. 9 Antonelli, Peter Louis 9 Bhattacharyya, Rakhi 9 Hyman, James M. 9 Kar, Tapan Kumar 9 Kuniya, Toshikazu 9 Mukandavire, Zindoga 9 Mukhopadhyay, Banibrata 9 Venturino, Ezio 9 Yang, Hyun Mo 8 Das, Krishnapada 8 Dietz, Klaus 8 Gerisch, Alf 8 Ledzewicz, Urszula 8 Li, Jia 8 Li, Xuezhi 8 Ruan, Shigui 8 Schättler, Heinz Michael 8 Teng, Zhi-dong 8 Wang, Fengyan 8 Xu, Rui 7 Agnihotri, Kulbhushan 7 d’Onofrio, Alberto 7 Friedman, Avner 7 Gao, Shujing 7 Jiang, Weihua 7 Kalabušić, Senada 7 Levin, Simon Asher 7 Lorenzi, Tommaso 7 Pilav, Esmir 7 Tao, Youshan 7 Zhang, Tongqian 6 Anderson, Alexander R. A. 6 Blyuss, Konstantin B. 6 Cui, Jingan 6 Dai, Binxiang 6 Haque, Mainul 6 Hsieh, Ying-Hen 6 Kypraios, Theodore 6 Liu, Xinzhi 6 Ma, Wanbiao 6 Martcheva, Maia 6 Massad, Eduardo 6 McElwain, D. L. Sean 6 Meng, Xinzhu 6 Mode, Charles J. 6 Takeuchi, Yasuhiro 6 Velasco-Hernandez, Jorge X. 6 Zhou, Xueyong 5 Bassanezi, Rodney Carlos 5 Biswas, Santosh 5 Boldrini, José Luiz 5 Churilov, Alexander N. 5 Costa, Michel I. S. 5 Dong, Yueping 5 Earn, David J. D. 5 Eftimie, Raluca 5 Falcón Ganfornina, Raúl Manuel 5 Flegg, Jennifer A. 5 Gaffney, Eamonn A. 5 Garira, Winston S. 5 Glasser, John W. 5 Grenfell, Bryan T. 5 Gumel, Abba B. 5 Hadeler, Karl-Peter 5 Hayat, Tasawar 5 Hill, Andrew N. 5 Huang, Yaodan 5 Kang, Yun 5 Khajanchi, Subhas 5 Kot, Mark 5 Kribs-Zaleta, Christopher M. 5 Kumar Upadhyay, Ranjit 5 Kyrychko, Yuliya N. 5 Lenbury, Yongwimon 5 Liu, Shengqiang ...and 2,885 more Authors all top 5 Cited in 251 Journals 208 Mathematical Biosciences 124 Journal of Theoretical Biology 108 Journal of Mathematical Biology 101 Bulletin of Mathematical Biology 95 Mathematical and Computer Modelling 71 Applied Mathematics and Computation 51 Chaos, Solitons and Fractals 45 Theoretical Population Biology 38 Journal of Mathematical Analysis and Applications 38 Nonlinear Analysis. Real World Applications 33 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 31 Discrete and Continuous Dynamical Systems. 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Mathematical Models & Methods in Applied Sciences 4 Journal of Dynamics and Differential Equations 4 Complexity 4 Discrete and Continuous Dynamical Systems 4 Natural Resource Modeling 4 Journal of Physics A: Mathematical and Theoretical 4 Nonlinear Analysis. Hybrid Systems 4 International Journal of Differential Equations 4 Journal of Applied Nonlinear Dynamics 3 Applicable Analysis 3 The Canadian Journal of Statistics 3 Journal of Engineering Mathematics 3 ZAMP. 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Series S 3 Statistics and Computing 3 International Journal of Applied and Computational Mathematics 3 AIMS Mathematics 2 Nonlinearity 2 Physics Reports 2 Scandinavian Journal of Statistics 2 Automatica 2 Journal of Environmental Economics and Management 2 Journal of Statistical Planning and Inference 2 Quarterly of Applied Mathematics 2 Theoretical Computer Science 2 Transactions of the American Mathematical Society 2 Optimal Control Applications & Methods 2 Stochastic Analysis and Applications 2 Journal of Economic Dynamics & Control ...and 151 more Journals all top 5 Cited in 39 Fields 1,615 Biology and other natural sciences (92-XX) 559 Ordinary differential equations (34-XX) 410 Partial differential equations (35-XX) 214 Dynamical systems and ergodic theory (37-XX) 176 Numerical analysis (65-XX) 137 Probability theory and stochastic processes (60-XX) 108 Statistics (62-XX) 79 Systems theory; control (93-XX) 75 Calculus of variations and optimal control; optimization (49-XX) 64 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 35 Fluid mechanics (76-XX) 21 Operations research, mathematical programming (90-XX) 19 Difference and functional equations (39-XX) 18 Computer science (68-XX) 15 Integral equations (45-XX) 14 Mechanics of deformable solids (74-XX) 13 Combinatorics (05-XX) 13 Operator theory (47-XX) 12 Linear and multilinear algebra; matrix theory (15-XX) 12 Nonassociative rings and algebras (17-XX) 11 Statistical mechanics, structure of matter (82-XX) 9 Classical thermodynamics, heat transfer (80-XX) 8 Real functions (26-XX) 7 Geophysics (86-XX) 5 Information and communication theory, circuits (94-XX) 4 General and overarching topics; collections (00-XX) 4 History and biography (01-XX) 4 Global analysis, analysis on manifolds (58-XX) 3 Algebraic geometry (14-XX) 3 Approximations and expansions (41-XX) 3 Optics, electromagnetic theory (78-XX) 2 Associative rings and algebras (16-XX) 2 Special functions (33-XX) 2 Integral transforms, operational calculus (44-XX) 2 Differential geometry (53-XX) 1 Mathematical logic and foundations (03-XX) 1 Group theory and generalizations (20-XX) 1 Measure and integration (28-XX) 1 Functional analysis (46-XX) Citations by Year