Dynamic Analysis of a Heterogeneous Diffusive Prey-Predator System in Time-Periodic Environment
Chuanjun Dai,
He Liu,
Zhan Jin,
Qing Guo,
Yi Wang,
Hengguo Yu,
Qi Wang,
Zengling Ma,
Min Zhao
Affiliations
Chuanjun Dai
School of Life and Environmental Science, Wenzhou University, Wenzhou, Zhejiang 325035, China
He Liu
Environmental Engineering Program, University of Northern British Columbia, Prince George, British Columbia V2N 4Z9, Canada
Zhan Jin
School of Life and Environmental Science, Wenzhou University, Wenzhou, Zhejiang 325035, China
Qing Guo
Environmental Engineering Program, University of Northern British Columbia, Prince George, British Columbia V2N 4Z9, Canada
Yi Wang
Department of Applied Mathematics, Northwestern Polytechnical University, Xi’an, Shanxi 710129, China
Hengguo Yu
Zhejiang Provincial Key Laboratory for Water Environment and Marine Biological Resources Protection, Wenzhou University, Wenzhou, Zhejiang 325035, China
Qi Wang
School of Life and Environmental Science, Wenzhou University, Wenzhou, Zhejiang 325035, China
Zengling Ma
School of Life and Environmental Science, Wenzhou University, Wenzhou, Zhejiang 325035, China
Min Zhao
School of Life and Environmental Science, Wenzhou University, Wenzhou, Zhejiang 325035, China
In this paper, a heterogeneous diffusive prey-predator system is first proposed and then studied analytically and numerically. Some sufficient conditions are derived, including permanence and extinction of system and the boundedness of the solution. The existence of periodic solution and its stability are discussed as well. Furthermore, numerical results indicate that both the spatial heterogeneity and the time-periodic environment can influence the permanence and extinction of the system directly. Our numerical results are consistent with the analytical analysis.
