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

被引：0
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作者：
Yuhua Lin
Xiangdong Xie
Fengde Chen
Tingting Li
机构：
[1] Xiamen Datong Middle School,Department of Mathematics
[2] Ningde Normal University,College of Mathematics and Computer Sciences
[3] Fuzhou University,undefined
来源：
Advances in Difference Equations | / 2016卷
关键词：
global stability; extinction; stage-structure; Leslie-Gower; Holling-type II; predator-prey; 34D23; 92B05; 34D40;
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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.
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