Continuous Monocyclic and Polycyclic Age Structured Models of Population Dynamics
Kermack, W.O. and McKendrick, A.G., 1991. Contributions to the mathematical theory of epidemics I. Bulletin of mathematical biology, 53(1), pp.33-55.
Kermack, W.O. and McKendrick, A.G., 1991. Contributions to the mathematical theory of epidemics II. The problem of endemicity. Bulletin of mathematical biology, 53(1-2), pp.57-87.
Kermack, W.O. and McKendrick, A.G., 1991. Contributions to the mathematical theory of epidemics III. Further studies of the problem of endemicity. Bulletin of mathematical biology, 53(1), pp.89-118.
Cushing, J.M., 1998. An introduction to structured population dynamics (Vol. 71). SIAM.
de Roos, A.M. and Persson, L., 2013. Population and community ecology of ontogenetic development (Vol. 59). Princeton University Press.
von Foerster, H., 1959. Some remarks on changing populations. The Kinetics of Cellular Proliferation, Grune and Stratton, pp.382-407.
Iannelli, M., 1995. Mathematical theory of agestructured population dynamics. Giardini editori e stampatori in Pisa.
Metz, J.A.J. and Diekmann, O., 1986. The Dynamics of Physiologically Structured Populations (SpringerVerlag, Berlin, Lecture Notes in Biomathematics 68).
Perthame, B., 2007. Transport equations in biology. (Frontiers in mathematics, Birkhauser Verlag, Basel).
Webb, G.F., 2008. Population models structured by age, size, and spatial position. In Structured population models in biology and epidemiology, edited by P. Magal et al. (pp. 1-49). Lecture Notes in Mathematics 1936, Springer, Berlin, Heidelberg.
Webb, G.F., 1985. Theory of nonlinear age-dependent population dynamics. CRC Press.
Akimenko, V.V., 2017. Asymptotically stable states of nonlinear age-structured monocyclic population model I. Travelling wave solution. Mathematics and Computers in Simulation, 133, pp.2-23.
Akimenko, V.V., 2017. Nonlinear age-structured models of polycyclic population dynamics with death rates as power functions with exponent n. Mathematics and Computers in Simulation, 133, pp.175-205.
Tikhonov, A. N. and Samarskii, A. A., 2011. Equations of Mathematical Physicis. Dover publ., New York.
Akimenko, V. and Anguelov, R., 2017. Steady states and outbreaks of two-phase nonlinear age-structured model of population dynamics with discrete time delay. Journal of biological dynamics, 11(1), pp.75-101.
Akimenko, V.V., 2017. Asymptotically stable states of non-linear age-structured monocyclic population model II. Numerical simulation. Mathematics and Computers in Simulation, 133, pp.24-38.
Akimenko, V. and Kˇrivan, V., 2018. Asymptotic stability of delayed consumer age-structured population models with an Allee effect. Mathematical biosciences, 306, pp.170-179.
Berryman, A.A., 1987. The theory and classification of outbreaks. In Insect outbreaks edited by P. Barbosa et al., Academic Press, New York, pp.3-30.
Akimenko, V.V. and Piou, C., 2018. Two-compartment age-structured model of solitarious and gregarious locust population dynamics. Mathematical Methods in the Applied Sciences, 41(18), pp.8636-8672.
Billy, F., Clairambault, J., Delaunay, F., Feillet, C. and Robert, N., 2013. Age-structured cell population model to study the influence of growth factors on cell cycle dynamics. Mathematical Biosciences and Engineering, 10, pp.1-17.
Akimenko, V. V., 2017. An age-structured SIR epidemic model with the fixed incubation period of infection. Computers and Mathematics with Application, 73, pp.1485–1504.
- There are currently no refbacks.
This work is licensed under a Creative Commons Attribution-NoDerivatives 4.0 International License.
This journal published by:
Center for Mathematical Modeling & Simulation
Institut Teknologi Bandung
Jalan Ganesa No. 10 Bandung 40132