Dynamical Analysis of a Stage-Structured Prey Predator Model with Harvest Effort and Multiple Time Delays
文献类型： 外文期刊
作者： Liu, Chao 1 ; Zhang, Qingling 1 ; Li, Yuanke 2 ; Yue, Wenquan 3 ;
作者机构： 1.Northeastern Univ, Inst Syst Sci, Shenyang 110004, Peoples R China
2.Northeastern Univ Qinhuangdao, Sch Math & Stat, Qinhuangdao 066004, Peoples R China
3.Hebei Acad Agr & Forestry Sci, Changli Inst Fruit Forestry, Changli 066600, Peoples R China
关键词： stage structure;harvest effort;prey predator;gestation delay;maturation delay
期刊名称：2014 33RD CHINESE CONTROL CONFERENCE (CCC)
ISSN： 2161-2927
年卷期： 2014 年
页码：
收录情况： SCI
摘要： In this paper, a prey predator model with Beddington-DeAngelis functional response and stage structure for prey population is established, where harvest effort on predator population is considered. Multiple time delays are incorporated into model system due to maturation delay for prey population and gestation delay for predator population. Positivity and boundedness of solutions of model system are investigated. By performing local stability analysis of model system around nonnegative equilibria, stability switch due to variation of multiple time delay are discussed. Especially, the lengths of multiple time delays to preserve local stability around interior equilibrium are estimated. Numerical simulations are carried out to show consistency with theoretical analysis obtained in this paper.
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