Asymptotically stable states of non-linear age-structured monocyclic population model II. Numerical simulation

作者: Vitalii V. Akimenko

DOI: 10.1016/J.MATCOM.2015.06.003

关键词:

摘要: This paper is devoted to the study of evolutionary dynamics of monocyclic age-structured population including the effect of non-linear mortality (population growth feedback) and proliferation. For this purpose we developed the explicit conservative two layer difference schemes for the initial–boundary value problems for the semi-linear transport equations with non-local boundary condition for two different types of non-linear death rate. For the obtained schemes we formulate sufficient conditions for the existence of bounded numerical …

参考文章(35)
Benoît Perthame, Transport equations in biology Published in <b>2007</b> in Basel by Birkhäuser. ,(2007)
J. Hasenauer, D. Schittler, F. Allgöwer, Analysis and Simulation of Division- and Label-Structured Population Models Bulletin of Mathematical Biology. ,vol. 74, pp. 2692- 2732 ,(2012) , 10.1007/S11538-012-9774-5
M. Amaku, F. A. B. Coutinho, R. S. Azevedo, M. N. Burattini, L. F. Lopez, E. Massad, Vaccination against rubella: analysis of the temporal evolution of the age-dependent force of infection and the effects of different contact patterns. Physical Review E. ,vol. 67, pp. 051907- ,(2003) , 10.1103/PHYSREVE.67.051907
Alberto Gandolfi, Mimmo Iannelli, Gabriela Marinoschi, An age-structured model of epidermis growth Journal of Mathematical Biology. ,vol. 62, pp. 111- 141 ,(2011) , 10.1007/S00285-010-0330-3
V. V. Akimenko, Yu. V. Zagorodniy, Modeling the dynamics of a monocyclic cell aggregation system Cybernetics and Systems Analysis. ,vol. 47, pp. 29- 43 ,(2011) , 10.1007/S10559-011-9287-5