Open AccessDynamics of cooperative predator–prey system with impulsive effects and Beddington–DeAngelis functional response
Author(s) -
Zhijian Yao,
Shengli Xie,
Nengfu Yu
Publication year - 2013
Publication title -
journal of the egyptian mathematical society
Language(s) - English
Resource type - Journals
eISSN - 2090-9128
pISSN - 1110-256X
DOI - 10.1016/j.joems.2013.04.008
Subject(s) - functional response , mathematics , predation , comparison theorem , coincidence , extinction (optical mineralogy) , control theory (sociology) , dynamics (music) , predator , ecology , computer science , biology , physics , artificial intelligence , medicine , paleontology , alternative medicine , control (management) , pathology , acoustics
In this paper, cooperative predator–prey system with impulsive effects and Beddington–DeAngelis functional response is studied. By using comparison theorem and some analysis techniques as well as the coincidence degree theory, sufficient conditions are obtained for the permanence, extinction and the existence of positive periodic solution