aDepartment of Applied Mathematics, Dalian University of Technology, 116024 Dalian Liaoning, PR China
bDepartment of Mathematics, Hubei Institute for Nationalities, 445000 Enshi Hubei, PR China
Abstract:
In this paper, we study the existence of positive periodic solution of two-species competitive system with toxicant and birth pulse. A set of easily verifiable sufficient conditions are derived for the existence of at least one positive periodic solution of the above system by using the method of coincidence degree. Numerical simulations are also presented to illustrate the feasibility of our main results.