期刊论文

中文

四川师范大学学报(自然科学版)

1001-8395

2011

34

2

186-192

10.3969/j.issn.1001-8395.2011.02.010

国家自然科学基金（10771094）； 湖南省教育厅基金（07C639）资助项目；

本校为其他机构

运用重合度理论中的连续性定理研究了一类具有周期时滞和周期系数的脉冲互惠系统的正周期解的存在性,得到了该系统至少存在一个正周期解的一个易于检验的充分条件,给出了一个具体例子来说明所得结论的可行性和正确性.所得结果在种群动力学研究领域,特别是互惠系统研究领域中具有理论和现实的应用价值,该结果是对前人研究具有时滞的互惠系统的有益补充.

In this paper,we study the existence of positive periodic solutions of a mutual and impulsive system with periodic time delay and periodic coefficients by using the continuation theorem of coincidence degree theory.A verifiable sufficient condition for the existence of at least one positive periodic solution of the system is obtained.An illustrative example is given to demonstrate the feasibility and effectiveness of the obtained results.The results are significant and useful in both theoretical and practical importance in population dynamics,especially in mutual system fields.Our result is a ...