Mathematical Problems in Engineering
Volume 2008 (2008), Article ID 945420, 8 pages
Solving Ratio-Dependent Predator-Prey System with Constant Effort Harvesting
Using Homotopy Perturbation Method
1Department of Civil Engineering, Shahid Bahonar University of Kerman, Kerman 76169, Iran
2Department of Civil and Mechanical Engineering, Mazandaran University of Technology, P.O. Box 484, Babol 47144, Iran
Received 1 February 2008; Revised 29 February 2008; Accepted 13 March 2008
Academic Editor: Cristian Toma
Copyright © 2008 Abdoul R. Ghotbi et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Due to wide range of interest in use of bioeconomic models to gain insight into the
scientific management of renewable resources like fisheries and forestry, homotopy perturbation
method is employed to approximate the solution of the ratio-dependent predator-prey system with
constant effort prey harvesting. The results are compared with the results obtained by Adomian
decomposition method. The results show that, in new model, there are less computations needed
in comparison to Adomian decomposition method.