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

被引：29
|
作者：
Lin, Yuhua [1 ]
Xie, Xiangdong [2 ]
Chen, Fengde [3 ]
Li, Tingting [3 ]
机构：
[1] Xiamen Datong Middle Sch, Xiamen 361008, Fujian, Peoples R China
[2] Ningde Normal Univ, Dept Math, Ningde 352300, Fujian, Peoples R China
[3] Fuzhou Univ, Coll Math & Comp Sci, Fuzhou 350116, Fujian, Peoples R China
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2016年
关键词：
global stability; extinction; stage-structure; Leslie-Gower; Holling-type II; predator-prey; GLOBAL STABILITY; PERIODIC-SOLUTION; SYSTEM; PERMANENCE; EXTINCTION; BIFURCATION; BEHAVIORS;
D O I：
10.1186/s13662-016-0887-2
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
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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页数：19
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