Existence and global stability of positive periodic solutions for predator–prey system with infinite delay and diffusion |
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| Institution: | 1. State Key Laboratory of Numerical Modeling for Atmospheric Sciences and Geophysical Fluid Dynamics, Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029, China;3. College of Earth and Planetary Sciences, University of Chinese Academy of Sciences, Beijing 100049, China;4. Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029, China;5. International Polar Environment Research Laboratory, College of Oceanography, Hohai University, Nanjing 210098, China |
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| Abstract: | In this paper, we study a periodic predator–prey system with Holling type III functional response, in which the prey species can diffuse among two patches but the predator is confined in one patch. By using the continuation theorem of coincidence degree theory and Lyapunov functional, some sufficient conditions are obtained. |
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