Stability analysis of a prey-predator model by using homotopy analysis method

被引：0

作者：

Cao, Hongyan ^{[1
]}

机构：

[1] Qingdao Univ Sci & Technol, Coll Math & Phys, Qingdao, Peoples R China

来源：

PROGRESS IN STRUCTURE, PTS 1-4 | 2012年 / 166-169卷

关键词：

prey-predator model; equilibrium point stability; homotopy analysis method;

D O I：

10.4028/www.scientific.net/AMM.166-169.2855

中图分类号：

TU [建筑科学];

学科分类号：

0813 ;

摘要：

A prey-predator model was considered. Using the methods of the modem nonlinear dynamics and homotopy analysis method (HAM), its stability was discussed. Firstly, we found the system's positive equilibrium point and shifted it to zero point through transformation. Secondly, we analyzed the stability of the system at the equilibrium point. Lastly, we analyzed the transformed system by HAM. We support our analytical findings with numerical simulation.

引用

页码：2855 / 2858

页数：4

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