The existence, bifurcation and stability of positive stationary solutions of a diffusive Leslie–Gower predator–prey model with Holling-type II functional responses
The existence, bifurcation and stability of positive stationary solutions of a diffusive Leslie–Gower predator–prey model with Holling-type II functional responses
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DOI：
10.1016/j.jmaa.2013.03.064
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发表时间：
2013-09
影响因子：
1.3
通讯作者：
Jun Zhou;Junping Shi
中科院分区：
文献类型：
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作者：
Jun Zhou;Junping Shi
本文研究了一类具有Holling Ⅱ型功能反应和Dirichlet边界条件的Leslie-Gower捕食-食饵扩散模型.证明了在一定的参数条件下，存在多个正平衡解，而在另一个参数区域，正平衡解是唯一的，并且是局部渐近稳定的.利用分歧理论、不动点指数理论、能量估计和渐近性态分析证明了结果。
In this paper, we revisit a diffusive Leslie–Gower predator–prey model with Holling-type II functional responses and Dirichlet boundary condition. It is shown that multiple positive steady state solutions exist under certain conditions on the parameters, while for another parameter region, the positive steady state solution is unique and locally asymptotically stable. Results are proved by using bifurcation theory, fixed point index theory, energy estimates and asymptotic behavior analysis.