He’s homotopy perturbation method for continuous population models for single and interacting species.

*(English)*Zbl 1189.65171Summary: 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 |

##### Keywords:

analytical solution; nonlinear differential equations; logistic growth; predator-prey models; He’s homotopy perturbation method
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\textit{S. Pamuk} and \textit{N. Pamuk}, Comput. Math. Appl. 59, No. 2, 612--621 (2010; Zbl 1189.65171)

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##### References:

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