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
EXTINCTION AND PERMANENCE OF A DIFIUSIVE PREDATOR-PREY MODEL WITH MODIFLED LESLIE-GOWER FUNCTIONAL RESPONSE

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