TITLE:
Positive Periodic Solutions of Nonautonomous Delayed Predator-Prey System with Pulse Controls
AUTHORS:
Bin Wang, Shunqiang Shi, Ping Luo
KEYWORDS:
Positive Periodic Solution, Predator-Prey, Impulses, Delays, Continuation Theorem
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.9 No.7,
July
12,
2021
ABSTRACT: 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.