# zbMATH — the first resource for mathematics

## 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)
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#### 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 D. 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 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 D. 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 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 2 Velasco-Hernandez, Jorge X. 2 Westwood, Norman ...and 319 more Authors
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#### 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)

#### Citations contained in zbMATH Open

211 Publications have been cited 1,824 times in 1,499 Documents Cited by Year
Epidemics in predator-prey models: disease in the predators. Zbl 1014.92036
Venturino, Ezio
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.
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
2001
An age-structured model of pre- and post-vaccination measles transmission. Zbl 0611.92021
Schenzle, Dieter
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.
1993
Mathematical modelling of avascular-tumour growth. Zbl 0866.92011
Ward, J. P.; King, J. R.
1997
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.
2002
Mathematical modelling of avascular-tumour growth. II: Modelling growth saturation. Zbl 0943.92019
Ward, J. P.; King, J. R.
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
1991
The control of childhood viral infections by pulse vaccination. Zbl 0832.92024
Nokes, D. James; Swinton, Jonathan
1995
Estimating parameters in stochastic compartmental models using Markov chain methods. Zbl 0916.92024
Gibson, Gavin J.; Renshaw, Eric
1998
Delay effect in a model for virus replication. Zbl 0914.92012
Tam, Judy
1999
Aggregation in model ecosystems. II: Approximate aggregation. Zbl 0659.92023
Iwasa, Yoh; Levin, Simon A.; Andreasen, Viggo
1989
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.
1988
Can nonlinear dynamics elucidate mechanisms in ecology and epidemiology? Zbl 0609.92034
Schaffer, W. M.
1985
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.
1996
Generation of biological pattern and form. Zbl 0611.92003
Murray, J. D.; Oster, G. F.
1984
Spatial, temporal, and genetic heterogeneity in host populations and the design of immunization programmes. Zbl 0611.92020
Anderson, Roy M.; May, Robert M.
1984
Some results for an SEIR epidemic model with density dependence in the death rate. Zbl 0805.92025
Greenhalgh, David
1992
Modelling the macrophage invasion of tumours: Effects on growth and composition. Zbl 0909.92022
Owen, Markus R.; Sherratt, Jonathan A.
1998
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.
1989
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
1997
Variable infectiousness in HIV transmission models. Zbl 0655.92021
Blythe, S. P.; Anderson, R. M.
1988
Threshold and stability results for an epidemic model with an age- structured meeting rate. Zbl 0665.92013
Greenhalgh, David
1988
General applications of optimal control theory in cancer chemotherapy. Zbl 0678.92003
Swan, G. W.
1988
Analytical results on the stability of age-structured recurrent epidemic models. Zbl 0661.92023
Greenhalgh, David
1987
Two-dimensional models of tumour angiogenesis and anti-angiogenesis strategies. Zbl 0894.92022
Orme, M. E.; Chaplain, M. A. J.
1997
Pattern formation in reaction-diffusion models with spatially inhomogeneous diffusion coefficients. Zbl 0767.92004
Maini, Philip K.; Benson, Debbie L.; Sherratt, Jonathan A.
1992
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.
2001
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.
1989
Selective strategies in food webs. Zbl 0807.92025
Colombo, Rinaldo M.; Křivan, Vlastimil
1993
Tumour dynamics and necrosis: Surface tension and stability. Zbl 0973.92017
Landman, K. A.; Please, C. P.
2001
The importance of intercellular adhesion in the development of carcinomas. Zbl 0891.92017
Byrne, H. M.
1997
A mathematical treatment of AIDS and condom use. Zbl 0998.92032
Greenhalgh, David; Doyle, Murray; Lewis, Fraser
2001
A nonlinear model for a sexually transmitted disease with contact tracing. Zbl 1014.92035
de Arazoza, H.; Lounes, R.
2002
Lotka-Volterra equations with chemotaxis: walls, barriers and travelling waves. Zbl 0969.92020
Pettet, G. J.; McElwain, D. L. S.; Norbury, J.
2000
Heterogeneous sexual activity models of HIV transmission in male homosexual populations. Zbl 0688.92010
Blythe, S. P.; Anderson, R. M.
1988
Modelling and simulation of Rosenberg-type adoptive cellular immunotherapy. Zbl 0821.92017
Nani, Frank K.; Oǧuztöreli, M. Namik
1994
Hopf bifurcation in host-parasitoid models. Zbl 0609.92029
Lauwerier, H. A.; Metz, J. A. J.
1986
Saddlepoint approximations for stochastic processes with truncated cumulant generating functions. Zbl 0906.92026
Renshaw, Eric
1998
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.
1994
Optimal control applications in the chemotherapy of multiple myeloma. Zbl 0609.92005
Swan, George W.
1985
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.
2002
Stochastic effects in a model of nematode infection in ruminants. Zbl 0906.92020
Marion, Glenn; Renshaw, Eric; Gibson, Gavin
1998
Cross immunity and vaccination against multiple microparasite strains. Zbl 0908.92028
White, L. J.; Cox, M. J.; Medley, G. F.
1998
An SEI model with density-dependent demographics and epidemiology. Zbl 0863.92013
Roberts, M. G.; Jowett, J.
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.
1994
Matrix-geometric methods for the general stochastic epidemic. Zbl 0609.92027
Gani, J.; Purdue, P.
1984
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.
2000
Variable maturation velocity and parameter sensitivity in a model of haematopoiesis. Zbl 0973.92009
Bélair, Jacques; Mahaffy, Joseph M.
2001
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.
1998
Hopf bifurcation in epidemic models with a time delay in vaccination. Zbl 0943.92031
Khan, Q. J. A.; Greenhalgh, David
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.
1991
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.
1992
Transient periodicity and episodic predictability in biological dynamics. Zbl 0791.92021
Schaffer, W. M.; Kendall, B. E.; Tidd, C. W.; Olsen, L. F.
1993
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
1996
Optimal chemical control of populations developing drug resistance. Zbl 0779.92011
Costa, M. I. S.; Boldrini, J. L.; Bassanezi, R. C.
1992
Steady-state spatial patterns in a cell-chemotaxis model. Zbl 0674.92009
Grindrod, P.; Murray, J. D.; Sinha, S.
1989
Dynamic resource allocation for epidemic control in multiple populations. Zbl 1042.92032
Zaric, Gregory S.; Brandeau, Margaret L.
2002
Epidemics in heterogeneous populations: Aspects of optimal vaccination policies. Zbl 0687.92010
Cairns, Andrew J. G.
1989
An epidemic model with a density-dependent death rate. Zbl 0751.92014
Greenhalgh, David
1990
Evaluation of likelihood ratios for complex genetic models. Zbl 0739.62082
Thompson, E. A.; Guo, Sun Wei
1991
Chaos and complexity in measles models: A comparative numerical study. Zbl 0780.92021
Bolker, Benjamin
1993
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
1993
Mathematical modelling of the spread of HIV/AIDS amongst injecting drug users. Zbl 0867.92022
Greenhalgh, David; Hay, Gordon
1997
Membrane voltage changes in passive dendritic trees: A tapering equivalent cylinder model. Zbl 0651.92010
Poznański, R. R.
1988
Asymmetric growth of models of avascular solid tumours: exploiting symmetries. Zbl 1014.92019
Byrne, Helen; Matthews, Paul
2002
Differential offensive-defensive games between plants and herbivores. Zbl 0622.92024
Antonelli, P. L.; Skowronski, J. M.
1986
The population dynamics of nematode infections of ruminants: Periodic perturbations as a model for management. Zbl 0737.92016
Roberts, M. G.; Grenfell, B. T.
1991
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.
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.
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
1996
Density-dependent dynamics and superinfection in an epidemic model. Zbl 0937.92028
Mena-Lorca, Jaime; Velasco-Hernandez, Jorge X.; Castillo-Chavez, Carlos
1999
Approaches to the space-time modelling of infectious disease behaviour. Zbl 0951.92024
Lawson, Andrew B.; Leimich, Petra
2000
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.
1987
The master equation for neural interaction. Zbl 0609.92011
van den Boogaard, Henk F. P.; Johannesma, Peter I. M.
1984
Behaviour of some models of myelinated axons. Zbl 0611.92011
Bell, Jonathan
1984
Optimal control analysis of a cancer chemotherapy problem. Zbl 0616.92002
Swan, George W.
1987
Algebraic isotopy in genetics. Zbl 0628.92018
Campos, Tania M. M.; Holgate, Philip
1987
Behaviour change and treatment of core groups: Its effect on the spread of HIV/AIDS. Zbl 0970.92023
Hsien, Ying-Hen; Cooke, Kenneth
2000
Stochastic models for systems of interacting ion channels. Zbl 0968.92008
Ball, Frank G.; Milne, Robin K.; Yeo, Geoffrey F.
2000
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.
1998
The optimal scheduling of two drugs with simple resistance for a problem in cancer chemotherapy. Zbl 0911.92017
Murray, J. M.
1997
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
1990
Monte Carlo estimation of variance component models for large complex pedigrees. Zbl 0739.62081
Guo, Sun Wei; Thompson, Elizabeth A.
1991
Finite-element analysis of oxygen transport in the systemic capillaries. Zbl 0738.92003
Sharan, Maithili; Singh, Balbir; Singh, M. P.; Kumar, Pawan
1991
Modelling the spread of HIV among intravenous drug users. Zbl 0774.92017
Gani, J.; Yakowitz, S.
1993
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
2000
Mathematical models of wound healing in embryonic and adult epidermis. Zbl 0767.92013
Sherratt, Jonathan A.; Martin, Paul; Murray, J. D.; Lewis, Julian
1992
Singular perturbation theory for open enzyme reaction networks. Zbl 0612.92006
Battelli, Flaviano; Lazzari, Claudio
1986
The optimal harvest from a multicohort stock. Zbl 0612.92013
Horwood, J. W.; Whittle, P.
1986
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.
1985
A model for the periodic synaptic inhibition of a neuronal oscillator. Zbl 0629.92004
Kiemel, Tim; Holmes, Philip
1987
A study of large-amplitude periodic solutions in a model for starfish predation of coral. Zbl 0632.92025
Antonelli, P. L.; Fuller, K. D.; Kazarinoff, N. D.
1987
A model of myxomatosis based on hormonal control of rabbit-flea reproduction. Zbl 0637.92009
Antonelli, P. L.; Seymour, R. M.
1988
Optimal harvesting of a fishery subject to random catastrophic collapse. Zbl 0657.90032
Reed, William J.
1988
An example of the effects of drug resistance on the optimal schedule for a single drug in cancer chemotherapy. Zbl 0832.92009
Murray, J. M.
1995
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.
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
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
2000
Epidemics in predator-prey models: disease in the predators. Zbl 1014.92036
Venturino, Ezio
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.
2002
A nonlinear model for a sexually transmitted disease with contact tracing. Zbl 1014.92035
de Arazoza, H.; Lounes, R.
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.
2002
Dynamic resource allocation for epidemic control in multiple populations. Zbl 1042.92032
Zaric, Gregory S.; Brandeau, Margaret L.
2002
Asymmetric growth of models of avascular solid tumours: exploiting symmetries. Zbl 1014.92019
Byrne, Helen; Matthews, Paul
2002
Population-induced oscillations in blended SI-SEI epidemiological models. Zbl 1013.92040
Manfredi, Piero; Salinelli, Ernesto
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
2002
Modelling plant virus epidemics in a plantation-nursery system. Zbl 1013.92042
Jeger, M. J.; Van den Bosch, F.; Dutmer, M. Y.
2002
The effects of re-infection in directly transmitted infections modelled with vaccination. Zbl 1014.92034
Yang, Hyun Mo
2002
Ticks and tick-borne diseases in Africa: A disease transmission model. Zbl 1042.92031
Mwambi, Henry G.
2002
Periodic breathing at high altitude. Zbl 1042.92003
Fowler, Andrew C.; Kalamangalam, G. P.
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
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.
2001
Tumour dynamics and necrosis: Surface tension and stability. Zbl 0973.92017
Landman, K. A.; Please, C. P.
2001
A mathematical treatment of AIDS and condom use. Zbl 0998.92032
Greenhalgh, David; Doyle, Murray; Lewis, Fraser
2001
Variable maturation velocity and parameter sensitivity in a model of haematopoiesis. Zbl 0973.92009
Bélair, Jacques; Mahaffy, Joseph M.
2001
A control theoretic approach to containing the spread of rabies. Zbl 0985.92035
Evans, N. D.; Pritchard, A. J.
2001
Optimal chemotherapy regimens: Influence of tumours on normal cells and several toxicity constraints. Zbl 0988.92015
Matveev, Alexey S.; Savkin, Andrey V.
2001
Analysis and comparison of multimodal cancer treatments. Zbl 1013.92023
Beil, Damian R.; Wein, Lawrence M.
2001
Genetic associations under mixed mating systems: The Bennett-Binet effect. Zbl 1013.92028
Vargas, J. A.; del Castillo, Rafael F.
2001
A model of Gambian sleeping sickness with open vector populations. Zbl 0973.92023
Artzrouni, Marc; Gouteux, Jean-Paul
2001
Pro-inflammatory-anti - inflammatory cytokine dynamics mediated by cytokine-receptor dynamics in monocytes. Zbl 1004.92024
Seymour, R. M.; Henderson, B.
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.
2001
Lotka-Volterra equations with chemotaxis: walls, barriers and travelling waves. Zbl 0969.92020
Pettet, G. J.; McElwain, D. L. S.; Norbury, J.
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.
2000
Approaches to the space-time modelling of infectious disease behaviour. Zbl 0951.92024
Lawson, Andrew B.; Leimich, Petra
2000
Behaviour change and treatment of core groups: Its effect on the spread of HIV/AIDS. Zbl 0970.92023
Hsien, Ying-Hen; Cooke, Kenneth
2000
Stochastic models for systems of interacting ion channels. Zbl 0968.92008
Ball, Frank G.; Milne, Robin K.; Yeo, Geoffrey F.
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
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.
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
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
2000
The role of the central chemoreceptor in causing periodic breathing. Zbl 0952.92009
Fowler, A. C.; Kalamangalam, G. P.
2000
Therapy burden, drug resistance, and optimal treatment regimen for cancer chemotherapy. Zbl 0949.92015
Boldrini, José L.; Costa, Michel I. S.
2000
Analytic solutions to compartmental models of the HIV/AIDS epidemic. Zbl 0966.92021
Griffiths, Jeff; England, Tracey; Williams, Janet
2000
Analysis of a multiple equivalent cylinder model with generalized taper. Zbl 0970.92004
Evans, J. D.
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.
2000
Estimating vaccine coverage by using computer algebra. Zbl 0951.92023
Altmann, Doris; Altmann, Klaus
2000
A spatial model of antipredator vigilance. Zbl 0949.92027
Proctor, C. J.; Broom, M.
2000
Mathematical modelling of avascular-tumour growth. II: Modelling growth saturation. Zbl 0943.92019
Ward, J. P.; King, J. R.
1999
Delay effect in a model for virus replication. Zbl 0914.92012
Tam, Judy
1999
Hopf bifurcation in epidemic models with a time delay in vaccination. Zbl 0943.92031
Khan, Q. J. A.; Greenhalgh, David
1999
Density-dependent dynamics and superinfection in an epidemic model. Zbl 0937.92028
Mena-Lorca, Jaime; Velasco-Hernandez, Jorge X.; Castillo-Chavez, Carlos
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.
1999
A mathematical model of the ecology of Lyme disease. Zbl 0945.92018
Porco, Travis C.
1999
Dispersal and stability in metapopulations. Zbl 0937.92025
Rohani, Pejman; Ruxton, Graeme D.
1999
Modelling and simulation of chemotherapy of haematological and gynaecological cancers. Zbl 0982.92017
Nani, Frank K.; Oǧuztöreli, M. Namik
1999
Dynamics of Japanese encephalitis – A study in mathematical epidemiology. Zbl 0926.92030
Ghosh, Asit K.; Tapaswi, P. K.
1999
Multihost, multiparasite systems: An application of bifurcation theory. Zbl 0935.92031
Greenman, J. V.; Hudson, P. J.
1999
Estimating parameters in stochastic compartmental models using Markov chain methods. Zbl 0916.92024
Gibson, Gavin J.; Renshaw, Eric
1998
Modelling the macrophage invasion of tumours: Effects on growth and composition. Zbl 0909.92022
Owen, Markus R.; Sherratt, Jonathan A.
1998
Saddlepoint approximations for stochastic processes with truncated cumulant generating functions. Zbl 0906.92026
Renshaw, Eric
1998
Stochastic effects in a model of nematode infection in ruminants. Zbl 0906.92020
Marion, Glenn; Renshaw, Eric; Gibson, Gavin
1998
Cross immunity and vaccination against multiple microparasite strains. Zbl 0908.92028
White, L. J.; Cox, M. J.; Medley, G. F.
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.
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.
1998
The effect of chemotaxis and chemokinesis on leukocyte locomotion: A new interpretation of experimental results. Zbl 0908.92018
Byrne, H. M.; Cave, G.; McElwain, D. L. S.
1998
Stability of an autocatalytic biochemical system in the presence of noise perturbations. Zbl 0911.92015
Liu, Junli; Crawford, John W.
1998
A model for dispersal of plant pathogens by rainsplash. Zbl 0927.92034
Pielaat, A.; van den Bosch, F.
1998
A mathematical analysis of the spread of HIV/AIDS in Japan. Zbl 0912.92028
Kakehashi, Masayuki
1998
Surface aggregation patterns of LDL receptors near coated pits. I: The radially convective diffusion and generalized insertion mechanism. Zbl 0911.92016
Solana-Arellano, Elena; Echaverría-Heras, Hector; Leal-Ramírez, Cecilia
1998
Mathematical modelling of the release of drug from porous, nonswelling transdermal drug-delivery devices. Zbl 1002.92534
Lee, A. J.; King, J. R.; Hibberd, S.
1998
Patient-ventilator interaction: A general model for nonpassive mechanical ventilation. Zbl 0911.92012
Crooke, P. S.; Head, J. D.; Marini, J. J.; Hotchkiss, J. R.
1998
Modelling responses in vigilance rates to arrivals to and departures from a group of foragers. Zbl 0912.92034
Broom, M.; Ruxton, G. D.
1998
Mathematical modelling of avascular-tumour growth. Zbl 0866.92011
Ward, J. P.; King, J. R.
1997
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
1997
Two-dimensional models of tumour angiogenesis and anti-angiogenesis strategies. Zbl 0894.92022
Orme, M. E.; Chaplain, M. A. J.
1997
The importance of intercellular adhesion in the development of carcinomas. Zbl 0891.92017
Byrne, H. M.
1997
Mathematical modelling of the spread of HIV/AIDS amongst injecting drug users. Zbl 0867.92022
Greenhalgh, David; Hay, Gordon
1997
The optimal scheduling of two drugs with simple resistance for a problem in cancer chemotherapy. Zbl 0911.92017
Murray, J. M.
1997
Validating mathematical models of plant-disease progress in space and time. Zbl 0871.92026
Hughes, Gareth; McRoberts, Neil; Madden, Laurence V.; Nelson, Scot C.
1997
The effect of superinfection on the distribution of the infectious period – a continued fraction approximation. Zbl 0871.92028
Parthasarathy, P. R.
1997
Maternal and foetal ECG separation using blind source separation methods. Zbl 0888.92023
Zarzoso, V.; Nandi, A. K.; Bacharakis, E.
1997
Predation thresholds for survival of endangered species. Zbl 0888.92035
Basse, B.; Wake, G. C.; McLennan, J. A.
1997
Threshold parameters for a simple stochastic partnership model of sexually transmitted diseases formulated as a two-type CMJ process. Zbl 0891.92023
Mode, Charles J.
1997
Estimating historical forest-fire frequencies from time-since-last-fire-sample data. Zbl 0869.62088
Reed, William J.
1997
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.
1996
An SEI model with density-dependent demographics and epidemiology. Zbl 0863.92013
Roberts, M. G.; Jowett, J.
1996
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
1996
A two-sex model for treatment of HIV/AIDS and behaviour change in a population of varying size. Zbl 0857.92014
Hsieh, Ying-Hen
1996
The role of N-methyl-D-aspartate (NMDA) receptors in wind-up: A mathematical model. Zbl 0858.92013
Britton, N. F.; Chaplain, M. A. J.; Skevington, Suzanne M.
1996
Geriatric-patient flow-rate modelling. Zbl 0863.92008
Taylor, Gordon; McClean, Sally; Millard, Peter
1996
Detection of slow-fast limit cycles in a model for electrical activity in the pancreatic $$\beta$$-cell. Zbl 0838.92005
Lenbury, Yongwimon; Kumnungkit, Kanchana; Novaprateep, Boriboon
1996
Mixing matrices: Necessary constraints in populations of finite size. Zbl 0838.92025
Uche, Chinma O.; Anderson, Roy M.
1996
Some drug-resistant models for cancer chemotherapy. I: Cycle-nonspecific drugs. Zbl 0856.92011
Usher, J. R.; Henderson, D.
1996
A multiple-pathway model for the diffusion of drugs in skin. Zbl 0848.92010
Lee, A. J.; King, J. R.; Rogers, T. G.
1996
Risk-sensitive optimal harvesting and control of biological populations. Zbl 0838.92029
Horwood, J. W.
1996
Computing marginal expectations for large compartmentalized models with application to AIDS evolution in a prison system. Zbl 0863.92014
Yakowitz, S.; Blount, M.; Gani, J.
1996
The control of childhood viral infections by pulse vaccination. Zbl 0832.92024
Nokes, D. James; Swinton, Jonathan
1995
An example of the effects of drug resistance on the optimal schedule for a single drug in cancer chemotherapy. Zbl 0832.92009
Murray, J. M.
1995
A pedigree-based algorithm for finding efficient peeling sequences. Zbl 0832.92010
Harbron, Chris
1995
Energetics of group foraging: Analysis of a random-walk model. Zbl 0832.92025
Ruxton, G. D.; Glasbey, C. A.
1995
Analytical solutions to a multicylinder somatic shunt cable model for passive neurones with spines. Zbl 0836.92005
Kember, G. C.; Evans, J. D.
1995
Pathways of coronary care – A computer-simulation model of the potential for health gain. Zbl 0837.92011
Bensley, D. C.; Watson, P. S.; Morrison, G. W.
1995
Modelling and simulation of Rosenberg-type adoptive cellular immunotherapy. Zbl 0821.92017
Nani, Frank K.; Oǧuztöreli, M. Namik
1994
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.
1994
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.
1994
Chaos in biometry. Zbl 0801.92001
Renshaw, Eric
1994
The regulation of an age-structured population by a fatal disease. Zbl 0812.92019
Louie, K.; Roberts, M. G.; Wake, G. C.
1994
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#### Cited by 2,409 Authors

 28 Chaplain, Mark A. J. 27 Byrne, Helen Mary 24 Chen, Lansun 21 Maini, Philip Kumar 19 Greenhalgh, David 16 Wei, Junjie 14 Castillo-Chavez, Carlos 14 Chattopadhyay, Joydev 13 Feng, Zhilan 13 Jiang, Daqing 13 Song, Xinyu 12 Křivan, Vlastimil 12 Murray, James Dickson 11 Auger, Pierre M. 11 Jiang, Zhichao 11 King, John Robert 10 Hethcote, Herbert W. 9 Antonelli, Peter Louis 9 Bairagi, Nandadulal 9 Bhattacharyya, Rakhi 9 Hu, Bei 9 Jin, Zhen 9 Mukandavire, Zindoga 9 Mukhopadhyay, Banibrata 9 Samanta, Guru Prasad 9 Sherratt, Jonathan A. 9 Venturino, Ezio 9 Yang, Hyun Mo 8 Das, Krishnapada 8 Dietz, Klaus 8 Gerisch, Alf 8 Hyman, James M. 8 Kar, Tapan Kumar 8 Khan, Qamar Jalil Ahmed 8 Kuniya, Toshikazu 8 Li, Jia 8 Li, Xuezhi 8 Wang, Fengyan 7 d’Onofrio, Alberto 7 Friedman, Avner 7 Jiang, Weihua 7 Ledzewicz, Urszula 7 Ruan, Shigui 7 Samanta, Sudip K. 7 Schättler, Heinz Michael 7 Tao, Youshan 7 Xu, Rui 6 Agnihotri, Kulbhushan 6 Anderson, Alexander R. A. 6 Gao, Shujing 6 Haque, Mainul 6 Hsieh, Ying-Hen 6 Levin, Simon Asher 6 Liu, Xinzhi 6 Lorenzi, Tommaso 6 Martcheva, Maia 6 Massad, Eduardo 6 Mode, Charles J. 6 Moghadas, Seyed M. 6 Simpson, Matthew J. 6 Teng, Zhi-dong 6 Zhou, Xueyong 5 Bassanezi, Rodney Carlos 5 Blyuss, Konstantin B. 5 Boldrini, José Luiz 5 Costa, Michel I. S. 5 Dai, Binxiang 5 Earn, David J. D. 5 Garira, Winston S. 5 Gumel, Abba B. 5 Hadeler, Karl-Peter 5 Kot, Mark 5 Kribs-Zaleta, Christopher M. 5 Kypraios, Theodore 5 Lenbury, Yongwimon 5 Liu, Shengqiang 5 Ma, Wanbiao 5 Ma, Zhien 5 Mcelwain, D. L. Sean 5 Meng, Xinzhu 5 Naresh, Ram 5 Nåsell, Ingemar 5 Owen, Markus Roger 5 Painter, Kevin J. 5 Please, Colin P. 5 Poggiale, Jean-Christophe 5 Renshaw, Eric 5 Roberts, Michael George 5 Rohani, Pejman 5 Sasmal, Sourav Kumar 5 Tan, Wai-Yuan 5 Tripathi, Agraj 5 Velasco-Hernandez, Jorge X. 5 Zhang, Qiumei 5 Zhang, Tongqian 5 Zhu, Guangtian 4 Andreasen, Viggo 4 Becker, Niels G. 4 Biswas, Santosh 4 Capasso, Vincenzo ...and 2,309 more Authors
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#### Cited in 192 Journals

 205 Mathematical Biosciences 110 Journal of Theoretical Biology 95 Mathematical and Computer Modelling 94 Journal of Mathematical Biology 89 Bulletin of Mathematical Biology 68 Applied Mathematics and Computation 45 Theoretical Population Biology 38 Chaos, Solitons and Fractals 36 Journal of Mathematical Analysis and Applications 35 Nonlinear Analysis. Real World Applications 26 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 23 International Journal of Biomathematics 22 Discrete and Continuous Dynamical Systems. Series B 19 Mathematical Methods in the Applied Sciences 18 Computers & Mathematics with Applications 18 Nonlinear Dynamics 17 Mathematical Biosciences and Engineering 14 Journal of Computational and Applied Mathematics 14 Physica D 14 Applied Mathematics Letters 14 Discrete Dynamics in Nature and Society 13 Applied Mathematical Modelling 13 Communications in Nonlinear Science and Numerical Simulation 12 Abstract and Applied Analysis 12 Mathematical Modelling of Natural Phenomena 11 Journal of Applied Mathematics and Computing 10 Journal of Nonlinear Science 10 Journal of Biological Systems 10 Advances in Difference Equations 10 Journal of Biological Dynamics 10 Computational & Mathematical Methods in Medicine 9 Mathematics and Computers in Simulation 9 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 9 European Journal of Operational Research 9 Differential Equations and Dynamical Systems 8 Journal of Differential Equations 8 Linear Algebra and its Applications 8 Journal of Applied Mathematics 7 Journal of the Franklin Institute 7 Biometrics 7 Computational Statistics and Data Analysis 7 Computational and Applied Mathematics 6 Statistics & Probability Letters 6 SIAM Journal on Applied Mathematics 6 Mathematical Problems in Engineering 6 Journal of Applied Analysis and Computation 5 Biological Cybernetics 5 Physica A 5 Journal of Optimization Theory and Applications 5 Acta Mathematicae Applicatae Sinica. English Series 5 The Annals of Applied Statistics 5 Mathematical Geosciences 4 Rocky Mountain Journal of Mathematics 4 Ricerche di Matematica 4 Applied Numerical Mathematics 4 Complexity 4 Discrete and Continuous Dynamical Systems 4 Natural Resource Modeling 4 Nonlinear Analysis. Hybrid Systems 4 International Journal of Differential Equations 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 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 3 Journal of Dynamics and Differential Equations 3 Chaos 3 Journal of Applied Statistics 3 SIAM Journal on Applied Dynamical Systems 2 Journal of Computational Physics 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 Journal of Economic Dynamics & Control 2 Applications of Mathematics 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Journal of Mathematical Chemistry 2 Mathematical Population Studies 2 Journal of Theoretical Medicine 2 Methodology and Computing in Applied Probability 2 The ANZIAM Journal 2 Nonlinear Analysis. Modelling and Control 2 Sādhanā 2 Communications on Pure and Applied Analysis 2 Discrete and Continuous Dynamical Systems. Series S 2 Advances in Mathematical Physics 2 Symmetry 2 Dynamic Games and Applications 2 Statistics and Computing 2 ISRN Applied Mathematics 2 Bayesian Analysis ...and 92 more Journals
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#### Cited in 38 Fields

 1,356 Biology and other natural sciences (92-XX) 470 Ordinary differential equations (34-XX) 315 Partial differential equations (35-XX) 186 Dynamical systems and ergodic theory (37-XX) 152 Numerical analysis (65-XX) 113 Probability theory and stochastic processes (60-XX) 99 Statistics (62-XX) 76 Systems theory; control (93-XX) 59 Calculus of variations and optimal control; optimization (49-XX) 54 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 31 Fluid mechanics (76-XX) 18 Operations research, mathematical programming (90-XX) 16 Difference and functional equations (39-XX) 16 Computer science (68-XX) 14 Integral equations (45-XX) 12 Combinatorics (05-XX) 12 Operator theory (47-XX) 11 Linear and multilinear algebra; matrix theory (15-XX) 10 Nonassociative rings and algebras (17-XX) 10 Mechanics of deformable solids (74-XX) 8 Classical thermodynamics, heat transfer (80-XX) 7 Geophysics (86-XX) 4 Real functions (26-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Algebraic geometry (14-XX) 3 Approximations and expansions (41-XX) 3 Optics, electromagnetic theory (78-XX) 3 Information and communication theory, circuits (94-XX) 2 General and overarching topics; collections (00-XX) 2 History and biography (01-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)