带有Beddington-DeAngelis功能性反应的非自治共位群捕食系统的正周期解（英文）  

Positive periodic solutions of a nonautonomous intraguild predation with the Beddington-DeAngelis functional response

作　　者：崔洪涛[1] 杨柳[1] 李鹏南[1] 赵治涛[1] 

机构地区：[1]黑龙江大学数学科学学院,哈尔滨150080

出　　处：《黑龙江大学自然科学学报》2015年第6期760-766,共7页Journal of Natural Science of Heilongjiang University

基　　金：Supported by Scientific Research Fund of Heilongjiang Education Department(12541621)

摘　　要：共位群内捕食系统(IGP)包含了捕食和竞争两个元素,刻画了一类捕食物种消耗另一类捕食物种并为相同的食饵而竞争,是构成生物群落的主要力量之一。研究带有Beddington-De Angelis功能性反应的非自治共位群捕食系统的正周期解问题,在系统参数是周期的情形下,利用重合度连续定理,建立非自治共位群捕食系统的正周期解和边界周期解的存在性。数值模拟证明并补充了理论结果。Intraguild predation （IGP） is a widespread ecological phenomenon which occurs when one predator species attacks another predator species with which it competes for a shared prey species. The aim is to explore the existence of the positive solutions of a nonautonomous intraguild predation with the Beddington-DeAngelis functional response. In the periodic case, the existences of a positive periodic so- lution and a boundary periodic solution for IGP system are investigated with the help of a continuation the- orem in coincidence degree theory. Especially, numerical simulations are presented to illustrate or com- plement our mathematical findings.

关 键 词：共位群捕食系统 Beddington—DeAngelis功能性反应 周期解 

分 类 号：O29[理学—应用数学]