Stability Analysis of a Prey-Predator Model by Using Homotopy Analysis Method-Reference-Cited by-同舟云学术

Stability Analysis of a Prey-Predator Model by Using Homotopy Analysis Method

Published:2012-05 Issue: Volume:166-169 Page:2855-2858
ISSN:1662-7482
Container-title:Applied Mechanics and Materials
language:
Short-container-title:AMM

Author:

Cao Hong Yan¹

Affiliation:

1. Qingdao University of Science and Technology

Abstract

A prey-predator model was considered. Using the methods of the modern 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.

Publisher

Trans Tech Publications, Ltd.

Link

https://www.scientific.net/AMM.166-169.2855.pdf

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