Homotopy Analysis Method for a Prey-Predator System with Holling IV Functional Response

Jia Shang Yu; Jia Ju Yu

doi:10.4028/www.scientific.net/AMM.687-691.1286

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 687-691Homotopy Analysis Method for a Prey-Predator...

Homotopy Analysis Method for a Prey-Predator System with Holling IV Functional Response

Abstract:

In this paper, the homotopy analysis method is used for solving a prey-predator system with holling IV functional response. The approximation solutions were obtained by homotopy analysis method, and contain the auxiliary parameter h which provides us with a convenient way to adjust and control convergence region and rate of solution series. This result showed that this method is valid and feasible for the system.

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Periodical:

Applied Mechanics and Materials (Volumes 687-691)

Pages:

1286-1291

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.687-691.1286

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Online since:

November 2014

Authors:

Jia Shang Yu*, Jia Ju Yu

Keywords:

Approximation Solutions, Functional Response, Homotopy Analysis Method, Prey-Predator System

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