|QUALITATIVE ANALYSIS OF A DIFFUSIVE PREDATOR-PREY MODEL WITH BEDDINGTON-DEANGELIS FUNCTIONAL RESPONSE
|Year of Publication
|Dynamic Systems and Applications
|AMS Subject Classification
|35J60; 35K55; 92D25
This paper is concerned with a diffusive predator-prey model with BeddingtonDeAngelis functional response under Robin boundary conditions. We establish the existence and nonexistence of coexistence solutions and give some sufficient and necessary conditions. In addition, the stability of coexistence solutions is investigated. Furthermore, the extinction and permanence of time-dependent system are discussed.