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He’s homotopy perturbation method for continuous population models for single and interacting species. (English) Zbl 1189.65171

Summary: He’s homotopy perturbation method is applied for obtaining approximate analytical solutions of continuous population models for single and interacting species. In comparison with existing techniques, this method is very straightforward, and the solution procedure is very simple. Also, it is highly effective in terms of accuracy and rapid convergence. Analytical and numerical studies are presented.

MSC:

65L99 Numerical methods for ordinary differential equations
92D25 Population dynamics (general)
34A45 Theoretical approximation of solutions to ordinary differential equations
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