Dynamic behaviour of a delayed predator-prey model with harvesting
Dynamic behaviour of a delayed predator-prey model with harvesting
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DOI：
10.1016/j.amc.2011.03.126
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发表时间：
2011-07
期刊：
影响因子：
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通讯作者：
T. K. Kar;Abhijit Ghorai
中科院分区：
文献类型：
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作者：
T. K. Kar;Abhijit Ghorai
本文研究了一类具有收获的时滞捕食系统的动力学行为。这是Leslie-Gower和Holling-II型格式的修改版本。主要结果包括局部稳定性、全局稳定性、收获影响和分支。利用规范形方法和中心流形定理研究了系统的Hopf分支方向和分支周期解的稳定性。
In this paper, we analyze the dynamics of a delayed predator–prey system in the presence of harvesting. This is a modified version of the Leslie–Gower and Holling-type II scheme. The main result is given in terms of local stability, global stability, influence of harvesting and bifurcation. Direction of Hopf bifurcation and the stability of bifurcating periodic solutions are also studied by using the normal form method and center manifold theorem.