MULTIPLE POSITIVE PERIODIC SOLUTIONS IN A IMPULSIVE PREDATOR-PREY SYSTEM WITH TYPE IV FUNCTIONAL RESPONSES
The main purpose of this paper is to explore the existence of positive periodic solutions to impulsive predator-prey systems with type IV functional responses. Sufficient criteria are obtained for the existence of strictly positive periodic solutions. The approach is based on a continuation theorem in the coincidence degree theory as well as some prior estimates. This is also the first time that multiple positive periodic solutions are obtained using coincidence degree theory in impulsive ecological systems.
impulsive predator-prey systems type IV functional response positive periodic solution coincidence degree
Bi Ping Zhang Weipeng
Dept. of Math., East China Normal University, Shanghai 200062 School of Math. and Statistics, Northeast Normal University, Changchun 130024
国际会议
广州
英文
391-399
2007-12-09（万方平台首次上网日期，不代表论文的发表时间）