Cooperative hunting in a discrete predator-prey system  

作　　者：Yunshyong Chow Sophia R-J.Jang Hua-Ming Wang 

机构地区：[1]Institute of Mathematics,Academia Sinica Taipei 10617,Taiwan [2]Department of Mathematics and Statistics Texas Tech University,Lubbock,TX 79409,USA [3]Department of Statistics,Anhui Normal University Wuhu 241003,Anhui,P.R.China

出　　处：《International Journal of Biomathematics》2020年第7期133-158,共26页生物数学学报（英文版）

摘　　要：We propose and investigate a discrete-time predator-prey system with cooperative hunting in the predator population.The model is constructed from the classical Nicholson-Bailey host-parasitoid system with density dependent growth rate.A sufficient condition based on the model parameters for which both populations can coexist is derived,namely that the predator’s maximal reproductive number exceeds one.We study existence of interior steady states and their stability in certain parameter regimes.It is shown that the system behaves asymptotically similar to the model with no cooperative hunting if the degree of cooperation is small.Large cooperative hunting,however,may promote persistence of the predator for which the predator would otherwise go extinct if there were no cooperation.

关 键 词：Cooperative hunting discrete predator-prey system predator persistence Neimark-Sacker bifurcation 

分 类 号：O17[理学—数学]