Permanence,extinction and periodic solution of the predator–prey system with Beddington–DeAngelis functional response and stage structure for prey |
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| Institution: | 1. Institute of Applied Ecology, Fujian Agriculture and Forestry University, Fuzhou, Fujian, 350002, PR China;2. College of Mathematics and Computer Science, Fuzhou University, Fuzhou, Fujian, 350002, PR China |
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| Abstract: | In this paper, we study the permanence, extinction and periodic solution of the periodic predator–prey system with Beddington–DeAngelis functional response and stage structure for prey. A set of sufficient and necessary conditions which guarantee the predator and prey species to be permanent are obtained. In addition, sufficient conditions are derived for the existence of positive periodic solutions to the system. Numeric simulations show the feasibility of the main results. |
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