Extinction and Permanence for A Stage-Structured Predator-Prey Model

被引：0

作者：

Liu, Junli ^{[1
]}

Zhang, Tailei ^{[1
]}

机构：

[1] Xian Polytech Univ, Sch Sci, Xian 710048, Peoples R China

来源：

PROCEEDINGS OF THE 7TH CONFERENCE ON BIOLOGICAL DYNAMIC SYSTEM AND STABILITY OF DIFFERENTIAL EQUATION, VOLS I AND II | 2010年

关键词：

predator-prey system; Lyapunov function; optimal harvesting; DEPENDENT TIME-DELAY; POPULATION-GROWTH; SYSTEM; STABILITY;

D O I：

暂无

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

We consider a stage-structured predator-prey system, which populations are divided into immature and mature. Harvesting of the mature population is also included. Positivity and boundedness of the system are established. Using Lyapunov function, we prove the global stability of two boundary equilibria. We obtain the optimal harvesting of the mature population.

引用

页码：171 / 175

页数：5

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