Stability and invariant manifolds of a generalized Beddington host-parasitoid model

被引:20
作者
Kapcak, Sinan [1 ]
Ufuktepe, Unal [1 ]
Elaydi, Saber [2 ]
机构
[1] Izmir Univ Econ, Dept Math, Izmir, Turkey
[2] Trinity Univ, Dept Math, San Antonio, TX 78212 USA
关键词
host-parasitoid; Beddington; Nicholson-Bailey; stability; centre manifold; 39A11; 92D25;
D O I
10.1080/17513758.2013.849764
中图分类号
Q14 [生态学(生物生态学)];
学科分类号
071012 ; 0713 ;
摘要
We will investigate the stability and invariant manifolds of a new discrete host-parasitoid model. It is a generalization of the Beddington-Nicholson-Bailey model. Our study establishes analytically, for the first time, the stability of the coexistence fixed point.
引用
收藏
页码:233 / 253
页数:21
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