Convergences of a stage-structured predator-prey model with modified Leslie-Gower and Holling-type II schemes

Advances in Difference Equations

Tingting Li¹  Fengde Chen¹  Xiangdong Xie²  Yuhua Lin³ 

[1] College of Mathematics and Computer Sciences, Fuzhou University, Fuzhou, P.R. China;Department of Mathematics, Ningde Normal University, Ningde, P.R. China;Xiamen Datong Middle School, Xiamen, P.R. China

关键词: global stability;    extinction;    stage-structure;    Leslie-Gower;    Holling-type II;    predator-prey;    34D23;    92B05;    34D40;   

DOI  :  10.1186/s13662-016-0887-2

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

A stage-structured predator-prey model (stage structure for both predator and prey) with modified Leslie-Gower and Holling-II schemes is studied in this paper. Using the iterative technique method and the fluctuation lemma, sufficient conditions which guarantee the global stability of the positive equilibrium and boundary equilibrium are obtained. Our results indicate that for a stage-structured predator-prey community, both the stage structure and the death rate of the mature species are the important factors that lead to the permanence or extinction of the system.

【 授权许可】

CC BY