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

Hong Yan Cao

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

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 166-169Stability Analysis of a Prey-Predator Model by...

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

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.

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Periodical:

Applied Mechanics and Materials (Volumes 166-169)

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2855-2858

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.166-169.2855

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Online since:

May 2012

Authors:

Hong Yan Cao

Keywords:

Equilibrium Point Stability, Homotopy Analysis Method, Prey-Predator Model

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