A predator–prey system with a stage structure for the prey |
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| Authors: | Jing&#x an Cui,Yasuhiro Takeuchi |
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| Affiliation: | aDepartment of Mathematics, Nanjing Normal University, Nanjing 210097, PR China;bDepartment of Systems Engineering, Faculty of Engineering, Shizuoka University, Hamamatsu 432-8561, Japan |
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| Abstract: | This paper considers a periodic predator–prey system where the prey has a life history that takes the prey through two stages: immature and mature. We provide a sufficient and necessary condition to guarantee permanence of the system. It is shown that the system is permanent if and only if the growth of the predator by foraging the prey minus its death rate is positive on average during the period. |
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| Keywords: | Predator– prey system Stage structure Permanence Extinction |
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