利用同伦微扰法和Adomian分解法求解捕食生态模型

Solving predator-prey ecological models via homotopy perturbation method and Adomian decomposition method

给出了同伦微扰法和Adomian分解法的计算过程,利用同伦微扰法和Adomian分解法求解Bazykin捕食生态模型和一类带有Holling Ⅱ功能反应和食饵具有似Allee效应的捕食生态模型.数值仿真结果表明,与经典的Rung-Kutta法进行对比,这2种方法可用于近似求解所给模型.

The computational process of homotopy perturbation method and Adomian decomposition method are presented,and the homotopy perturbation method and Adomian decomposition method are used to solve the Bazykin predator-prey ecological model and a predator-prey ecological model with Holling Ⅱ functional response and Alleelike effect on predator.The numerical simulation results show that the two methods can be used to approximate the given model compared with the classical Rung-Kutta method.