The analysis and regulation for the dynamics of a temperate bacteriophage model
注意：本論文已在Mathematical Biosciences 209 (2007) 417–450發表
Abstract: The purpose of this paper is to study the asymptotical behavior of a temperate bacteriophage model in chemostat, which was first proposed by Levin et al. [B.R. Levin, F.M. Stewart, L. Chao, Resource-limited
growth, competition and predation: A model and experiment studies with bacteria and bacteriophage, Am.
Nat. 125 (1977) 3]. Firstly, a classification for the equilibria of the model and their stability are obtained;
secondly, sufficient conditions for uniform persistence are obtained; thirdly, sufficient conditions for the
global asymptotic behavior are given, and simulations for the model are presented. The theoretical results
show that there are more than eight cases for the classification of the model, and that the decrease (increase)
of the nutrient concentration or average lytic time (flow rate) is beneficial to the survival of the sensitive
cells. Both the simulated and theoretical results show that there is a possibility of switch phenomena or
a periodical outburst of the phages and the lysogens, which is caused by the internal factors rather than
by some external environment. Finally, the simulation and regulation of the dynamics of the model with
experimental data are presented.
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