Author(s)

Bin Wang, Shunqiang Shi, Ping Luo

Department of Mathematics, Xingyi Normal University for Nationalities Xingyi, China.

In this paper, a biological model for two predators and one prey with impulses and periodic delays is considered. By assuming that one predator consumes prey according to Holling II functional response while the other predators consume prey according to the Beddington-DeAngelis functional response, based on the coincidence degree theory, the existence of positive periodic solutions of nonautonomous predator-prey system with impulses and periodic delays is obtained under suitable conditions.

Positive Periodic Solution, Predator-Prey, Impulses, Delays, Continuation Theorem

Wang, B. , Shi, S. and Luo, P. (2021) Positive Periodic Solutions of Nonautonomous Delayed Predator-Prey System with Pulse Controls. Journal of Applied Mathematics and Physics, 9, 1452-1467. doi: 10.4236/jamp.2021.97098.