The Open Automation and Control Systems Journal

2013, 5 : 150-153
Published online 2013 December 13. DOI: 10.2174/1874444301305010150
Publisher ID: TOAUTOCJ-5-150

Homotopy Analysis Method for a Class of Holling Model with the Functional Reaction

Xiurong Chen and Jiaju Yu
School of Science and Information, Qingdao Agricultural University, Qingdao, China.

ABSTRACT

In this paper, the homotopy analysis method is proposed to solve a class of holling model with the functional reaction. The model is characterized with the nonlinear equations in the denominator and it is difficult to obtain the closed approximation solutions. The series solutions of the model are obtained and the results show that the presented method is efficiency and simplicity. The convergence of this algorithm is also proved.

Keywords:

Holling Model, Homotopy Analysis Method, Approximation Solutions.