一类具有Holling-Ⅱ功能响应的食饵-捕食者模型的解析定量研究

Analytically Quantitative Study of a Predator-prey Model with Holling-Ⅱ Functional Response

利用同伦摄动法,研究一类具有Holling-Ⅱ功能响应的食饵-捕食者模型极限环的定量结果,获得了极限环及其频率的解析近似表达式.所得解析结果与直接数值积分结果比较表明同伦摄动法适用于生物模型极限环的解析近似计算.

Quantitative aspects of the limit cycle in a predator-prey model with Holling- It functional response is considered. By using homotopy perturbation method, analytical ap- proximations of the limit cycle and its frequency are obtained. Comparisons of the analytical results with those of direct numerical integrations show that homotopy perturbation method is feasible for analytical approximation of the limit cycles in ecological models.