一类具有修正Leslie-Gower功能性反应的扩散捕食系统的持久性与绝灭性（英文）  

EXTINCTION AND PERMANENCE OF A DIFFUSIVE PREDATOR-PREY MODEL WITH MODIFIED LESLIE-GOWER FUNCTIONAL RESPONSE

作　　者：杨文生[1] 

机构地区：[1]福建师范大学数学与计算机科学学院,福建福州350007

出　　处：《数学杂志》2017年第3期627-636,共10页Journal of Mathematics

基　　金：Supported by National Natural Science Foundation of China(11201072);the Natural Science Foundation of Fujian Province(2014J01003);the Foundation of Fujian Education Bureau(JA15112)

摘　　要：本文研究了一类具有修正Leslie-Gower功能性反应的捕食者-食饵模型.利用比较原理以及一些引理的方法,获得了保证食饵绝灭的充分条件以及保证捕食者和食饵永久持续生存的充分必要条件,所得结论完善和补充了前人的结果.The diffusive predator-prey system with modified Leslie-Gower functional response is studied in this paper. By using comparison principle, sufficient conditions for extinction of the prey are obtained. Furthermore, sufficient and necessary conditions which guarantee the predator and the prey species to be permanent are derived by using some lemmas, and our results complement and supplement earlier ones.

关 键 词：扩散系统 修正Leslie-Gower功能性反应 永久持续生存 绝灭性 

分 类 号：O175.26[理学—数学]