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: 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 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 Jayaraman, Girija 2 Kazarinoff, Nicholas D. 2 Kember, G. C. 2 Khan, Qamar Jalil Ahmed 2 Lenbury, Yongwimon 2 Lewis, Cathryn M. 2 Lewis, Fraser I. 2 Lexell, J. 2 Louie, Kenway 2 Madden, Laurence V. 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 ...and 324 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 214 Publications have been cited 2,034 times in 1,664 Documents Cited by ▼ Year ▼ Epidemics in predator-prey models: disease in the predators. Zbl 1014.92036Venturino, Ezio 124 2002 A preliminary study of the transmission dynamics of the human immunodeficiency virus (HIV), the causative agent of AIDS. Zbl 0609.92025Anderson, R. M.; Medley, G. F.; May, R. M.; Johnson, A. M. 114 1986 On the zeros of a third degree exponential polynomial with applications to a delayed model for the control of testosterone secretion. Zbl 0982.92008Ruan, Shigui; Wei, Junjie 100 2001 An age-structured model of pre- and post-vaccination measles transmission. Zbl 0611.92021Schenzle, Dieter 84 1984 Mathematical modelling of avascular-tumour growth. Zbl 0866.92011Ward, J. P.; King, J. R. 76 1997 A model mechanism for the chemotactic response of endothelial cells to tumour angiogenesis factor. Zbl 0783.92019Chaplain, M. A. J.; Stuart, A. M. 73 1993 A delay differential equation model on harmful algal blooms in the presence of toxic substances. Zbl 1013.92046Chattopadhyay, J.; Sarkar, R. R.; El Abdllaoui, A. 70 2002 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 0764.92017Busenberg, Stavros; Castillo-Chavez, Carlos 52 1991 Mathematical modelling of avascular-tumour growth. II: Modelling growth saturation. Zbl 0943.92019Ward, J. P.; King, J. R. 51 1999 Delay effect in a model for virus replication. Zbl 0914.92012Tam, Judy 36 1999 Estimating parameters in stochastic compartmental models using Markov chain methods. Zbl 0916.92024Gibson, Gavin J.; Renshaw, Eric 35 1998 The control of childhood viral infections by pulse vaccination. Zbl 0832.92024Nokes, D. James; Swinton, Jonathan 35 1995 Aggregation in model ecosystems. II: Approximate aggregation. Zbl 0659.92023Iwasa, Yoh; Levin, Simon A.; Andreasen, Viggo 34 1989 Distributed incubation and infectious periods in models of the transmission dynamics of the human immunodeficiency virus (HIV). Zbl 0686.92015Blythe, S. P.; Anderson, R. M. 29 1988 Spatial, temporal, and genetic heterogeneity in host populations and the design of immunization programmes. Zbl 0611.92020Anderson, Roy M.; May, Robert M. 28 1984 Generation of biological pattern and form. Zbl 0611.92003Murray, J. D.; Oster, G. F. 27 1984 A mathematical model of the first steps of tumour-related angiogenesis: Capillary sprout formation and secondary branching. Zbl 0849.92009Orme, M. E.; Chaplain, M. A. J. 26 1996 Modelling the macrophage invasion of tumours: Effects on growth and composition. Zbl 0909.92022Owen, Markus R.; Sherratt, Jonathan A. 26 1998 Some results for an SEIR epidemic model with density dependence in the death rate. Zbl 0805.92025Greenhalgh, David 26 1992 Can nonlinear dynamics elucidate mechanisms in ecology and epidemiology? Zbl 0609.92034Schaffer, W. M. 25 1985 Variable infectiousness in HIV transmission models. Zbl 0655.92021Blythe, S. P.; Anderson, R. M. 22 1988 General applications of optimal control theory in cancer chemotherapy. Zbl 0678.92003Swan, G. W. 22 1988 Pattern formation in reaction-diffusion models with spatially inhomogeneous diffusion coefficients. Zbl 0767.92004Maini, Philip K.; Benson, Debbie L.; Sherratt, Jonathan A. 21 1992 Threshold and stability results for an epidemic model with an age- structured meeting rate. Zbl 0665.92013Greenhalgh, David 21 1988 Instability in mortality estimation schemes related to stage-structure population models. Zbl 0659.92018Wood, S. N.; Blythe, S. P.; Gurney, W. S. C.; Nisbet, R. M. 20 1989 A mathematical model for the capillary endothelial cell-extracellular matrix interactions in wound-healing angiogenesis. Zbl 0891.92016Olsen, Luke; Sherratt, Jonathan A.; Maini, Philip K.; Arnold, Frank 20 1997 Mathematical modelling of quorum sensing in bacteria. Zbl 0998.92043Ward, J. P.; King, J. R.; Koerber, A. J.; Williams, P.; Croft, J. M.; Sockett, R. E. 19 2001 Analytical results on the stability of age-structured recurrent epidemic models. Zbl 0661.92023Greenhalgh, David 18 1987 Two-dimensional models of tumour angiogenesis and anti-angiogenesis strategies. Zbl 0894.92022Orme, M. E.; Chaplain, M. A. J. 18 1997 Selective strategies in food webs. Zbl 0807.92025Colombo, Rinaldo M.; Křivan, Vlastimil 17 1993 The importance of intercellular adhesion in the development of carcinomas. Zbl 0891.92017Byrne, H. M. 17 1997 A methodological study of a nonlinear stochastic model of an AIDS epidemic with recruitment. Zbl 0685.92011Mode, Charles J.; Gollwitzer, Herman E.; Salsburg, Michael A.; Sleeman, Candace K. 16 1989 A mathematical treatment of AIDS and condom use. Zbl 0998.92032Greenhalgh, David; Doyle, Murray; Lewis, Fraser 13 2001 A model for analysing plant-virus transmission characteristics and epidemic development. Zbl 0945.92019Jeger, M. J.; van den Bosch, F.; Madden, L. V.; Holt, J. 13 1998 Lotka-Volterra equations with chemotaxis: walls, barriers and travelling waves. Zbl 0969.92020Pettet, G. J.; McElwain, D. L. S.; Norbury, J. 13 2000 Tumour dynamics and necrosis: Surface tension and stability. Zbl 0973.92017Landman, K. A.; Please, C. P. 13 2001 Hopf bifurcation in host-parasitoid models. Zbl 0609.92029Lauwerier, H. A.; Metz, J. A. J. 13 1986 Modelling and simulation of Rosenberg-type adoptive cellular immunotherapy. Zbl 0821.92017Nani, Frank K.; Oǧuztöreli, M. Namik 12 1994 A nonlinear model for a sexually transmitted disease with contact tracing. Zbl 1014.92035de Arazoza, H.; Lounes, R. 12 2002 Heterogeneous sexual activity models of HIV transmission in male homosexual populations. Zbl 0688.92010Blythe, 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 0769.92006Nagorcka, B. N.; Mooney, J. R. 11 1992 Nature of equilibria and effects of drug treatments in some simple viral population dynamical models. Zbl 0966.92011Tuckwell, Henry C.; Wan, Frederic Y. M. 11 2000 Saddlepoint approximations for stochastic processes with truncated cumulant generating functions. Zbl 0906.92026Renshaw, Eric 10 1998 Optimal chemotherapy: A case study with drug resistance, saturation effect, and toxicity. Zbl 0816.92008Costa, M. I. S.; Boldrini, J. L.; Bassanezi, R. C. 10 1994 Fluid flow in the anterior chamber of a human eye. Zbl 1013.92014Canning, C. R.; Greaney, M. J.; Dewynne, J. N.; Fitt, A. D. 10 2002 Transient periodicity and episodic predictability in biological dynamics. Zbl 0791.92021Schaffer, W. M.; Kendall, B. E.; Tidd, C. W.; Olsen, L. F. 9 1993 Stochastic effects in a model of nematode infection in ruminants. Zbl 0906.92020Marion, Glenn; Renshaw, Eric; Gibson, Gavin 9 1998 Effects of treatment and prevalence-dependent recruitment on the dynamics of a fatal disease. Zbl 0857.92015Velasco-Hernández, Jorge X.; Brauer, Fred; Castillo-Chavez, Carlos 9 1996 Density-dependent dynamics and superinfection in an epidemic model. Zbl 0937.92028Mena-Lorca, Jaime; Velasco-Hernandez, Jorge X.; Castillo-Chavez, Carlos 9 1999 Balancing sexual partnerships in an age and activity stratified model of HIV transmission in heterosexual populations. Zbl 0808.92026Garnett, Geoffrey P.; Anderson, Roy M. 9 1994 An SEI model with density-dependent demographics and epidemiology. Zbl 0863.92013Roberts, M. G.; Jowett, J. 9 1996 Cross immunity and vaccination against multiple microparasite strains. Zbl 0908.92028White, L. J.; Cox, M. J.; Medley, G. F. 9 1998 Hopf bifurcation in epidemic models with a time delay in vaccination. Zbl 0943.92031Khan, Q. J. A.; Greenhalgh, David 9 1999 Optimal control applications in the chemotherapy of multiple myeloma. Zbl 0609.92005Swan, George W. 9 1985 Analysis of wave phenomena in a morphogenetic mechanochemical model and an application to post-fertilization waves on eggs. Zbl 0623.92008Lane, D. C.; Murray, J. D.; Manoranjan, V. S. 8 1987 Variable maturation velocity and parameter sensitivity in a model of haematopoiesis. Zbl 0973.92009Bélair, Jacques; Mahaffy, Joseph M. 8 2001 A mathematical model for the diffusion of tumour angiogenesis factor into the surrounding host tissue. Zbl 0737.92007Chaplain, M. A. J.; Stuart, A. M. 8 1991 Optimal chemical control of populations developing drug resistance. Zbl 0779.92011Costa, M. I. S.; Boldrini, J. L.; Bassanezi, R. C. 8 1992 Matrix-geometric methods for the general stochastic epidemic. Zbl 0609.92027Gani, J.; Purdue, P. 8 1984 Differential offensive-defensive games between plants and herbivores. Zbl 0622.92024Antonelli, P. L.; Skowronski, J. M. 7 1986 Chaos and complexity in measles models: A comparative numerical study. Zbl 0780.92021Bolker, Benjamin 7 1993 Effects of vaccination programmes on transmission rates of infections and related threshold conditions for control. Zbl 0813.92025Bezerra Coutinho, Françisco Antonio; Massad, Eduardo; Nascimento Burattini, Marcelo; Yang, Hyun Mo; Soares de Azevedo Neto, Raymundo 7 1993 An epidemic model with a density-dependent death rate. Zbl 0751.92014Greenhalgh, David 7 1990 Evaluation of likelihood ratios for complex genetic models. Zbl 0739.62082Thompson, E. A.; Guo, Sun Wei 7 1991 Steady-state spatial patterns in a cell-chemotaxis model. Zbl 0674.92009Grindrod, P.; Murray, J. D.; Sinha, S. 7 1989 Epidemics in heterogeneous populations: Aspects of optimal vaccination policies. Zbl 0687.92010Cairns, Andrew J. G. 7 1989 Mathematical modelling of the spread of HIV/AIDS amongst injecting drug users. Zbl 0867.92022Greenhalgh, David; Hay, Gordon 7 1997 Dynamic resource allocation for epidemic control in multiple populations. Zbl 1042.92032Zaric, Gregory S.; Brandeau, Margaret L. 7 2002 Behaviour of some models of myelinated axons. Zbl 0611.92011Bell, Jonathan 6 1984 A two-sex model for treatment of HIV/AIDS and behaviour change in a population of varying size. Zbl 0857.92014Hsieh, Ying-Hen 6 1996 The population dynamics of nematode infections of ruminants: Periodic perturbations as a model for management. Zbl 0737.92016Roberts, M. G.; Grenfell, B. T. 6 1991 Sexual contact patterns between men and women and the spread of HIV-1 in urban centres in Afrika. Zbl 0738.92016Boily, 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 0767.92025Roberts, M. G.; Grenfell, B. T. 6 1992 Mathematical models of wound healing in embryonic and adult epidermis. Zbl 0767.92013Sherratt, Jonathan A.; Martin, Paul; Murray, J. D.; Lewis, Julian 6 1992 Algebraic isotopy in genetics. Zbl 0628.92018Campos, Tania M. M.; Holgate, Philip 6 1987 Membrane voltage changes in passive dendritic trees: A tapering equivalent cylinder model. Zbl 0651.92010Poznański, R. R. 6 1988 Modelling corneal epithelial wound closure in the presence of physiological electric fields via a moving boundary formalism. Zbl 0982.92014Gaffney, E. A.; Maini, P. K.; McCaig, C. D.; Zhao, M.; Forrester, J. V. 6 1999 Approaches to the space-time modelling of infectious disease behaviour. Zbl 0951.92024Lawson, Andrew B.; Leimich, Petra 6 2000 The optimal scheduling of two drugs with simple resistance for a problem in cancer chemotherapy. Zbl 0911.92017Murray, J. M. 6 1997 Asymmetric growth of models of avascular solid tumours: exploiting symmetries. Zbl 1014.92019Byrne, Helen; Matthews, Paul 6 2002 Evolution of an altruistic trait through group selection as studied by the diffusion equation method. Zbl 0611.92017Kimura, Motoo 5 1984 Optimal control analysis of a cancer chemotherapy problem. Zbl 0616.92002Swan, George W. 5 1987 Modelling the spread of HIV among intravenous drug users. Zbl 0774.92017Gani, J.; Yakowitz, S. 5 1993 Behaviour change and treatment of core groups: Its effect on the spread of HIV/AIDS. Zbl 0970.92023Hsien, Ying-Hen; Cooke, Kenneth 5 2000 Stochastic models for systems of interacting ion channels. Zbl 0968.92008Ball, Frank G.; Milne, Robin K.; Yeo, Geoffrey F. 5 2000 Monte Carlo estimation of variance component models for large complex pedigrees. Zbl 0739.62081Guo, Sun Wei; Thompson, Elizabeth A. 5 1991 Finite-element analysis of oxygen transport in the systemic capillaries. Zbl 0738.92003Sharan, Maithili; Singh, Balbir; Singh, M. P.; Kumar, Pawan 5 1991 On \(k\)th-order Bernstein algebras and stability at the \(k+1\) generation in polyploids. Zbl 0726.17040Hentzel, Irvin Roy; Peresi, Luiz Antonio; Holgate, Philip 5 1990 Optimal harvesting of a fishery subject to random catastrophic collapse. Zbl 0657.90032Reed, William J. 5 1988 The basic reproduction ratio for a model of directly transmitted infections considering the virus charge and the immunological response. Zbl 0963.92035Ferreira Leite, Maria Beatriz; Bassanezi, Rodney Carlos; Yang, Hyun Mo 5 2000 Binomial cokriging for estimating and mapping the risk of childhood cancer. Zbl 0916.62083Oliver, 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 0609.92011van den Boogaard, Henk F. P.; Johannesma, Peter I. M. 5 1984 Singular perturbation theory for open enzyme reaction networks. Zbl 0612.92006Battelli, Flaviano; Lazzari, Claudio 4 1986 The optimal harvest from a multicohort stock. Zbl 0612.92013Horwood, J. W.; Whittle, P. 4 1986 Stage-structure models of populations with distinct growth and development processes. Zbl 0613.92019Nisbet, R. M.; Blythe, S. P.; Gurney, W. S. C.; Metz, J. A. J. 4 1985 Suicide substrate reaction-diffusion equations: Varying the source. Zbl 0779.92010Burke, Meghan A.; Maini, P. K.; Murray, J. D. 4 1993 A mathematical analysis of the Grodins model of respiratory control. Zbl 0795.92009Fowler, A. C.; Kalamangalam, G. P.; Kember, G. 4 1993 Some properties of a nonautonomous deterministic growth model describing the adjustment of the bacterial population to a new environment. Zbl 0791.92015Baranyi, József; Roberts, Terry A.; McClure, Peter 4 1993 A model of myxomatosis based on hormonal control of rabbit-flea reproduction. Zbl 0637.92009Antonelli, P. L.; Seymour, R. M. 4 1988 The role of N-methyl-D-aspartate (NMDA) receptors in wind-up: A mathematical model. Zbl 0858.92013Britton, N. F.; Chaplain, M. A. J.; Skevington, Suzanne M. 4 1996 Epidemics in predator-prey models: disease in the predators. Zbl 1014.92036Venturino, Ezio 124 2002 A delay differential equation model on harmful algal blooms in the presence of toxic substances. Zbl 1013.92046Chattopadhyay, J.; Sarkar, R. R.; El Abdllaoui, A. 70 2002 A nonlinear model for a sexually transmitted disease with contact tracing. Zbl 1014.92035de Arazoza, H.; Lounes, R. 12 2002 Fluid flow in the anterior chamber of a human eye. Zbl 1013.92014Canning, C. R.; Greaney, M. J.; Dewynne, J. N.; Fitt, A. D. 10 2002 Dynamic resource allocation for epidemic control in multiple populations. Zbl 1042.92032Zaric, Gregory S.; Brandeau, Margaret L. 7 2002 Asymmetric growth of models of avascular solid tumours: exploiting symmetries. Zbl 1014.92019Byrne, Helen; Matthews, Paul 6 2002 Population-induced oscillations in blended SI-SEI epidemiological models. Zbl 1013.92040Manfredi, Piero; Salinelli, Ernesto 3 2002 The stability of internal equilibria in predator-prey models with breeding suppression. Zbl 1013.92037Ruxton, Graeme D.; Khan, Q. J. A.; Al-Lawatia, Mohamed 2 2002 Ticks and tick-borne diseases in Africa: A disease transmission model. Zbl 1042.92031Mwambi, Henry G. 2 2002 Quasi-steady state approximation to a fungal growth model. Zbl 1013.92048Lamour, A.; van den Bosch, F.; Termoshuizen, A. J.; Jeger, M. J. 1 2002 Modelling plant virus epidemics in a plantation-nursery system. Zbl 1013.92042Jeger, M. J.; Van den Bosch, F.; Dutmer, M. Y. 1 2002 The effects of re-infection in directly transmitted infections modelled with vaccination. Zbl 1014.92034Yang, Hyun Mo 1 2002 Periodic breathing at high altitude. Zbl 1042.92003Fowler, Andrew C.; Kalamangalam, G. P. 1 2002 On the zeros of a third degree exponential polynomial with applications to a delayed model for the control of testosterone secretion. Zbl 0982.92008Ruan, Shigui; Wei, Junjie 100 2001 Mathematical modelling of quorum sensing in bacteria. Zbl 0998.92043Ward, J. P.; King, J. R.; Koerber, A. J.; Williams, P.; Croft, J. M.; Sockett, R. E. 19 2001 A mathematical treatment of AIDS and condom use. Zbl 0998.92032Greenhalgh, David; Doyle, Murray; Lewis, Fraser 13 2001 Tumour dynamics and necrosis: Surface tension and stability. Zbl 0973.92017Landman, K. A.; Please, C. P. 13 2001 Variable maturation velocity and parameter sensitivity in a model of haematopoiesis. Zbl 0973.92009Bélair, Jacques; Mahaffy, Joseph M. 8 2001 A control theoretic approach to containing the spread of rabies. Zbl 0985.92035Evans, N. D.; Pritchard, A. J. 4 2001 Optimal chemotherapy regimens: Influence of tumours on normal cells and several toxicity constraints. Zbl 0988.92015Matveev, Alexey S.; Savkin, Andrey V. 4 2001 A model of Gambian sleeping sickness with open vector populations. Zbl 0973.92023Artzrouni, Marc; Gouteux, Jean-Paul 3 2001 Analysis and comparison of multimodal cancer treatments. Zbl 1013.92023Beil, Damian R.; Wein, Lawrence M. 3 2001 Pro-inflammatory-anti - inflammatory cytokine dynamics mediated by cytokine-receptor dynamics in monocytes. Zbl 1004.92024Seymour, R. M.; Henderson, B. 2 2001 Genetic associations under mixed mating systems: The Bennett-Binet effect. Zbl 1013.92028Vargas, J. A.; del Castillo, Rafael F. 2 2001 Enhanced efficiency of feeding and mixing due to chaotic flow patterns around choanoflagellates. Zbl 0998.92004Orme, B. A. A.; Otto, S. R.; Blake, J. R. 1 2001 Lotka-Volterra equations with chemotaxis: walls, barriers and travelling waves. Zbl 0969.92020Pettet, G. J.; McElwain, D. L. S.; Norbury, J. 13 2000 Nature of equilibria and effects of drug treatments in some simple viral population dynamical models. Zbl 0966.92011Tuckwell, Henry C.; Wan, Frederic Y. M. 11 2000 Approaches to the space-time modelling of infectious disease behaviour. Zbl 0951.92024Lawson, Andrew B.; Leimich, Petra 6 2000 Behaviour change and treatment of core groups: Its effect on the spread of HIV/AIDS. Zbl 0970.92023Hsien, Ying-Hen; Cooke, Kenneth 5 2000 Stochastic models for systems of interacting ion channels. Zbl 0968.92008Ball, Frank G.; Milne, Robin K.; Yeo, Geoffrey F. 5 2000 The basic reproduction ratio for a model of directly transmitted infections considering the virus charge and the immunological response. Zbl 0963.92035Ferreira Leite, Maria Beatriz; Bassanezi, Rodney Carlos; Yang, Hyun Mo 5 2000 Multiple dose vaccination against childhood diseases: High coverage with the first dose remains crucual for eradication. Zbl 0966.92014Paulo, 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 0966.92013Lenbury, Yongwimon; Ouncharoen, Rujira; Tumrasvin, Nardtida 4 2000 Biological implications of a discrete mathematical model for collagen deposition and alignment in dermal wound repair. Zbl 0966.92009Dallon, John; Sherratt, Jonathan; Maini, Philip; Ferguson, Mark 4 2000 The role of the central chemoreceptor in causing periodic breathing. Zbl 0952.92009Fowler, A. C.; Kalamangalam, G. P. 3 2000 Therapy burden, drug resistance, and optimal treatment regimen for cancer chemotherapy. Zbl 0949.92015Boldrini, José L.; Costa, Michel I. S. 2 2000 Analytic solutions to compartmental models of the HIV/AIDS epidemic. Zbl 0966.92021Griffiths, Jeff; England, Tracey; Williams, Janet 1 2000 Analysis of a multiple equivalent cylinder model with generalized taper. Zbl 0970.92004Evans, J. D. 1 2000 A spatial model of antipredator vigilance. Zbl 0949.92027Proctor, C. J.; Broom, M. 1 2000 Stability analysis of a general age-dependent vaccination model for a vertically transmitted disease under the proportionate mixing assumption. Zbl 0997.92037El-Doma, M. 1 2000 Estimating vaccine coverage by using computer algebra. Zbl 0951.92023Altmann, Doris; Altmann, Klaus 1 2000 Mathematical modelling of avascular-tumour growth. II: Modelling growth saturation. Zbl 0943.92019Ward, J. P.; King, J. R. 51 1999 Delay effect in a model for virus replication. Zbl 0914.92012Tam, Judy 36 1999 Density-dependent dynamics and superinfection in an epidemic model. Zbl 0937.92028Mena-Lorca, Jaime; Velasco-Hernandez, Jorge X.; Castillo-Chavez, Carlos 9 1999 Hopf bifurcation in epidemic models with a time delay in vaccination. Zbl 0943.92031Khan, 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 0982.92014Gaffney, E. A.; Maini, P. K.; McCaig, C. D.; Zhao, M.; Forrester, J. V. 6 1999 Dispersal and stability in metapopulations. Zbl 0937.92025Rohani, Pejman; Ruxton, Graeme D. 4 1999 A mathematical model of the ecology of Lyme disease. Zbl 0945.92018Porco, Travis C. 3 1999 Modelling and simulation of chemotherapy of haematological and gynaecological cancers. Zbl 0982.92017Nani, Frank K.; Oǧuztöreli, M. Namik 2 1999 Multihost, multiparasite systems: An application of bifurcation theory. Zbl 0935.92031Greenman, J. V.; Hudson, P. J. 1 1999 Dynamics of Japanese encephalitis – A study in mathematical epidemiology. Zbl 0926.92030Ghosh, Asit K.; Tapaswi, P. K. 1 1999 Estimating parameters in stochastic compartmental models using Markov chain methods. Zbl 0916.92024Gibson, Gavin J.; Renshaw, Eric 35 1998 Modelling the macrophage invasion of tumours: Effects on growth and composition. Zbl 0909.92022Owen, Markus R.; Sherratt, Jonathan A. 26 1998 A model for analysing plant-virus transmission characteristics and epidemic development. Zbl 0945.92019Jeger, M. J.; van den Bosch, F.; Madden, L. V.; Holt, J. 13 1998 Saddlepoint approximations for stochastic processes with truncated cumulant generating functions. Zbl 0906.92026Renshaw, Eric 10 1998 Stochastic effects in a model of nematode infection in ruminants. Zbl 0906.92020Marion, Glenn; Renshaw, Eric; Gibson, Gavin 9 1998 Cross immunity and vaccination against multiple microparasite strains. Zbl 0908.92028White, L. J.; Cox, M. J.; Medley, G. F. 9 1998 Binomial cokriging for estimating and mapping the risk of childhood cancer. Zbl 0916.62083Oliver, 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 0908.92018Byrne, H. M.; Cave, G.; McElwain, D. L. S. 3 1998 A mathematical analysis of the spread of HIV/AIDS in Japan. Zbl 0912.92028Kakehashi, Masayuki 3 1998 Stability of an autocatalytic biochemical system in the presence of noise perturbations. Zbl 0911.92015Liu, Junli; Crawford, John W. 3 1998 A model for dispersal of plant pathogens by rainsplash. 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J. 27 Byrne, Helen Mary 24 Chen, Lansun 23 Maini, Philip Kumar 19 Greenhalgh, David 17 Wei, Junjie 16 Jiang, Zhichao 15 Jiang, Daqing 14 Castillo-Chavez, Carlos 14 Chattopadhyay, Joydev 13 Feng, Zhilan 13 Křivan, Vlastimil 13 Song, Xinyu 12 Auger, Pierre M. 12 Murray, James Dickson 11 King, John Robert 10 Bairagi, Nandadulal 10 Hethcote, Herbert W. 10 Hu, Bei 10 Jin, Zhen 10 Samanta, Guru Prasad 10 Sherratt, Jonathan A. 9 Antonelli, Peter Louis 9 Bhattacharyya, Rakhi 9 Kar, Tapan Kumar 9 Kuniya, Toshikazu 9 Mukandavire, Zindoga 9 Mukhopadhyay, Banibrata 9 Samanta, Sudip K. 9 Simpson, Matthew J. 9 Venturino, Ezio 9 Yang, Hyun Mo 8 Das, Krishnapada 8 Dietz, Klaus 8 Gerisch, Alf 8 Hyman, James M. 8 Khan, Qamar Jalil Ahmed 8 Ledzewicz, Urszula 8 Li, Jia 8 Li, Xuezhi 8 Ruan, Shigui 8 Schättler, Heinz Michael 8 Wang, Fengyan 7 Agnihotri, Kulbhushan 7 d’Onofrio, Alberto 7 Friedman, Avner 7 Gao, Shujing 7 Jiang, Weihua 7 Levin, Simon Asher 7 Lorenzi, Tommaso 7 Tao, Youshan 7 Teng, Zhi-dong 7 Xu, Rui 7 Zhang, Tongqian 6 Anderson, Alexander R. A. 6 Blyuss, Konstantin B. 6 Haque, Mainul 6 Hsieh, Ying-Hen 6 Kalabušić, Senada 6 Liu, Xinzhi 6 Ma, Wanbiao 6 Martcheva, Maia 6 Massad, Eduardo 6 Meng, Xinzhu 6 Mode, Charles J. 6 Moghadas, Seyed M. 6 Pilav, Esmir 6 Takeuchi, Yasuhiro 6 Velasco-Hernandez, Jorge X. 6 Zhou, Xueyong 5 Bassanezi, Rodney Carlos 5 Boldrini, José Luiz 5 Churilov, Alexander N. 5 Costa, Michel I. S. 5 Cui, Jingan 5 Dai, Binxiang 5 Dong, Yueping 5 Earn, David J. D. 5 Eftimie, Raluca 5 Falcón Ganfornina, Raúl Manuel 5 Garira, Winston S. 5 Gumel, Abba B. 5 Hadeler, Karl-Peter 5 Kang, Yun 5 Kot, Mark 5 Kribs-Zaleta, Christopher M. 5 Kypraios, Theodore 5 Kyrychko, Yuliya N. 5 Lenbury, Yongwimon 5 Liu, Shengqiang 5 Ma, Zhien 5 Mcelwain, D. L. Sean 5 Medvedev, Aleksandr Vladislavovich 5 Naresh, Ram 5 Nåsell, Ingemar 5 Niu, Ben 5 Núñez-Valdés, Juan 5 Owen, Markus Roger 5 Painter, Kevin J. 5 Please, Colin P. ...and 2,621 more Authors all top 5 Cited in 228 Journals 205 Mathematical Biosciences 115 Journal of Theoretical Biology 103 Journal of Mathematical Biology 95 Mathematical and Computer Modelling 93 Bulletin of Mathematical Biology 69 Applied Mathematics and Computation 52 Chaos, Solitons and Fractals 45 Theoretical Population Biology 38 Journal of Mathematical Analysis and Applications 38 Nonlinear Analysis. Real World Applications 32 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 27 Discrete and Continuous Dynamical Systems. 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Hybrid Systems 4 International Journal of Differential Equations 4 Journal of Applied Nonlinear Dynamics 3 The Canadian Journal of Statistics 3 Journal of Engineering Mathematics 3 The Annals of Statistics 3 International Journal of Mathematics and Mathematical Sciences 3 Journal of Applied Probability 3 Statistical Science 3 Journal of Scientific Computing 3 Annals of Operations Research 3 Japan Journal of Industrial and Applied Mathematics 3 Journal of Dynamics and Differential Equations 3 Chaos 3 Journal of Applied Statistics 3 International Journal of Applied and Computational Mathematics 3 AIMS Mathematics 2 Applicable Analysis 2 Journal of Computational Physics 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 Stochastic Analysis and Applications 2 Journal of Economic Dynamics & Control 2 European Journal of Applied Mathematics 2 Applications of Mathematics 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Fractals 2 Journal of Mathematical Chemistry 2 Mathematical Population Studies 2 Vietnam Journal of Mathematics 2 Journal of Theoretical Medicine 2 Methodology and Computing in Applied Probability 2 International Journal of Nonlinear Sciences and Numerical Simulation 2 The ANZIAM Journal ...and 128 more Journals all top 5 Cited in 39 Fields 1,502 Biology and other natural sciences (92-XX) 523 Ordinary differential equations (34-XX) 362 Partial differential equations (35-XX) 204 Dynamical systems and ergodic theory (37-XX) 161 Numerical analysis (65-XX) 126 Probability theory and stochastic processes (60-XX) 104 Statistics (62-XX) 76 Systems theory; control (93-XX) 69 Calculus of variations and optimal control; optimization (49-XX) 62 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 33 Fluid mechanics (76-XX) 17 Difference and functional equations (39-XX) 17 Statistical mechanics, structure of matter (82-XX) 17 Operations research, mathematical programming (90-XX) 16 Computer science (68-XX) 14 Integral equations (45-XX) 12 Combinatorics (05-XX) 12 Operator theory (47-XX) 12 Mechanics of deformable solids (74-XX) 11 Linear and multilinear algebra; matrix theory (15-XX) 11 Nonassociative rings and algebras (17-XX) 8 Classical thermodynamics, heat transfer (80-XX) 7 Real functions (26-XX) 7 Geophysics (86-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Optics, electromagnetic theory (78-XX) 4 Information and communication theory, circuits (94-XX) 3 General and overarching topics; collections (00-XX) 3 History and biography (01-XX) 3 Algebraic geometry (14-XX) 3 Approximations and expansions (41-XX) 2 Special functions (33-XX) 2 Integral transforms, operational calculus (44-XX) 2 Differential geometry (53-XX) 1 Associative rings and algebras (16-XX) 1 Group theory and generalizations (20-XX) 1 Measure and integration (28-XX) 1 Functional analysis (46-XX) 1 Quantum theory (81-XX) Citations by Year