福建师范大学学报（自然科学版）2012，Vol.28Issue(2)：27-31,5.
一类具有Holling-Ⅱ功能向应的食饵-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
摘要
Abstract
Quantitative aspects of the limit cycle in a predator-prey model with Holling-I 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.关键词
食饵-捕食者模型/Holling-Ⅱ功能响应/极限环/定量/同伦摄动法Key words
predator-prey model/ Holling- I functional response/ limit-cycle/ quantita-tive/ homotopy perturbation method分类
数理科学引用本文复制引用
陈华雄,沈建和,周哲彦..一类具有Holling-Ⅱ功能向应的食饵-捕食者模型的解析定量研究[J].福建师范大学学报（自然科学版）,2012,28(2):27-31,5.基金项目
福建省教育厅资助项目(JA10065) （JA10065）
福建省自然科学基金资助项目(2006J0204) （2006J0204）
中国博士后科学基金资助项目(2011M500803) （2011M500803）
