Spatiotemporal dynamics for impulsive eco-epidemiological model with Crowley-Martin type functional response
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Published on: December 9, 2015
Haifeng Huo1, Fanhong Zhang1, Hong Xiang1
1Department of Applied Mathematics, Lanzhou University of Technology, Lanzhou 730050, China.
Abstract:
Spatiotemporal dynamics of an impulsive eco-epidemiological model with Crowley-Martin type functional responses in a heterogeneous space is studied. The ultimate boundedness of solutions is obtained. The conditions of persistence and extinction under impulsive controls are derived. Furthermore, the existence and globally asymptotic stability of a unique positive periodic solutions are proved. Numerical simulations are also shown to illustrate our theoretical results. Our results show that impulsive harvesting can accelerate the extinction of ecological epidemics.
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