具有非线性捕获项的多时滞Hassell-Varley型功能性反应食饵-捕食者系统的周期解  

Periodic solutions to multiple delayed Hassell-Varley type functional response prey-predator system with nonlinear harvesting

作　　者：谢小丽[1] 陈晓星[1] 游华[1] 

机构地区：[1]福州大学数学与计算机科学学院,福建福州350116

出　　处：《福州大学学报（自然科学版）》2014年第3期353-359,共7页Journal of Fuzhou University(Natural Science Edition)

基　　金：福建省自然科学基金资助项目(2013J01011);福建省教育厅科研资助项目(JB090002)

摘　　要：研究具有非线性捕获项的多时滞Hassell-Varley型功能性反应的食饵-捕食者系统周期解的存在性.运用重合度定理得到了该系统的周期解存在性的充分条件,并通过数值模拟给予验证.A multiple delayed HasseU - Varley type functional response prey - preoator system wltu nonlinear harvesting term is investigated. By using Gaines and Mawhin＇ s continuation theorem of coincidence degree theory, a set of sufficient conditions are obtained to guarantee the existence of positive periodic solutions of the system. At last, numerical simulation is given to illustrate the feasibility of our result.

关 键 词：非线性捕获项 周期解 重合度定理 Hassell-Varley功能性反应 

分 类 号：O175.14[理学—数学]