摘要
利用重合度理论以及比较定理,研究了一类具有捕获和Holling III类功能反应竞争系统,得到了该系统至少存在四个正周期解的充分性条件,给出例子验证所得结论的有效性。
In the present paper, the existence of multiple positive periodic solutions for competitive system with harvesting terms and Holling Ⅲ type functional response was studied by using coincidence degree theory and comparison theorem. Four positive periodic solutions at.least for competitive system were obtained. An example was given to illustrate the effectiveness of the results.
基金
国家自然科学基金项目“无穷时滞随机泛函微分系统的研究”(项目号:10726062)
福建省自然科学基金项目“无限时滞随机泛函微分方程解的估计及稳定性研究”(项目号:2010J01005)
福州大学科技发展基金项目“随机干扰下时滞生态系统的动力学行为研究”(项目号:2010-XQ-24)阶段性成果
关键词
正周期解
竞争系统
重合度
HOLLING
Ⅲ类功能反应
捕获
positive periodic solutions
competitive system
coincidence degree
Holling III type functional response
harvesting.
