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具有Crowley-Martin型功能性反应的非自治捕食者-食饵系统的正周期解
Positive Periodic Solutions of a Nonautonomous Predator-prey System with Crowley-Martin Functional Response
【摘要】 主要考虑了具有Crowley-Martin型功能性反应的非自治捕食者-食饵系统的正周期解问题.在系统参数是周期的情形下,利用重合度延拓定理建立非自治捕食者-食饵系统的正周期解和边界周期解的存在性.最后,利用数值模拟验证和补充了该理论结果.
【Abstract】 The existence of the positive solutions of a nonautonomous predator- prey system with Crowley-Martin functional response is explored. In the periodic case, the existence of a positive periodic solution and a boundary periodic solution for this system are established with the help of a continuation theorem in coincidence degree theory. Especially, some numerical simulations are carried out to illustrate our mathematical findings.
【关键词】 捕食者-食饵系统;
非自治;
Crowley-Martin功能性反应;
周期解;
【Key words】 predator-prey system; nonautonomous; Crowley-Martin functional response; periodic solution;
【Key words】 predator-prey system; nonautonomous; Crowley-Martin functional response; periodic solution;
【基金】 黑龙江省教育厅科学技术研究项目(12541621)
- 【文献出处】 南开大学学报(自然科学版) ,Acta Scientiarum Naturalium Universitatis Nankaiensis , 编辑部邮箱 ,2016年04期
- 【分类号】O175
- 【被引频次】3
- 【下载频次】97