文献类型：期刊文献

英文题名：Existence and Global Attractivity of Positive Periodic Solutions for a Delayed Predator-Prey Model with Mutual Interference and Functional Response

作者：Liu, Changdong[1];Zhou, Xiaoliang[2]

机构：[1]Guangdong Ocean Univ, Dept Math, Zhanjiang 524088, Guangdong, Peoples R China;[2]Lingnan Normal Univ, Dept Math, Zhanjiang 524048, Guangdong, Peoples R China

年份：2019

卷号：33

期号：1

起止页码：43

外文期刊名：FILOMAT

收录：SCI-EXPANDED(收录号：WOS:000464503300004)、、Scopus(收录号：2-s2.0-85066752210)、WOS

基金：Research supported by the NNSF of China [Grant number 11561019], Cultivating Project of Technological Innovation of College Students of Guangdong Province [Grant number pdjha0304, pdjha2019b0297].

语种：英文

外文关键词：Predator-prey model; Positive periodic solution; Global attractivity; Coincidence degree theory; Lyapunov function

外文摘要：In this paper, by using comparison principle of differential equations, continuation theorem of coincidence degree theory and Lyapunov function, a delayed predator-prey model with mutual interference and functional response is studied. Some sufficient conditions which guarantee the permanence of positive solutions of the model and the existence and global attractivity of a positive periodic solution of the model are obtained. Some results in the related literature are extended. Furthermore, some numerical simulations have been performed to substantiate our analytical findings.