Permanence of the periodic predator-prey-mutualist system
نویسندگان
چکیده
منابع مشابه
Prey-Predator System; Having Stable Periodic Orbit
The study of differential equations is useful in to analyze the possible past or future with help of present information. In this paper, the behavior of solutions has been analyzed around the equilibrium points for Gause model. Finally, some results are worked out to exist the stable periodic orbit for mentioned predator-prey system.
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A stage-structured three-species predator-prey model with Beddington-DeAngelis and Holling II functional response is introduced. Based on the comparison theorem, sufficient and necessary conditions which guarantee the predator and the prey species to be permanent are obtained. An example is also presented to illustrate our main results. Copyright q 2008 Can-Yun Huang et al. This is an open acce...
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and Applied Analysis 3 Motivated by the above question, we consider the following periodic predator-prey system with general nonlinear functional responses and stage structure for both predator and prey: ẋ1 t a1 t x2 t − b1 t x1 t − d1 t x2 1 t − g x1 t y2 t , ẋ2 t c1 t x1 t − f1 t x2 2 t , ẏ1 t a2 t y2 t − b2 t y1 t − d2 t y2 1 t k t g x1 t y1 t , ẏ2 t c2 t y1 t − f2 t y2 2 t , 1.5 where ai t ...
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Mutualism is part of many significant processes in nature. Mutualistic benefits arising from modification of predator-prey interactions involve interactions of at least three species. In this paper we investigate the homogeneous Neumann problem and Dirichlet problem for a reaction-diffusion system of three species--a predator, a mutualist-prey, and a mutualist. The existence, uniqueness, and bo...
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We consider the permanence of a periodic predator-prey system, where the prey disperse in a two-patch environment. We assume the Volterra within-patch dynamics and provide a sufficient and necessary condition to guarantee the predator and prey species to be permanent by using the techniques of inequality analysis. Our work improves previous relevant results.
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ژورنال
عنوان ژورنال: Advances in Difference Equations
سال: 2015
ISSN: 1687-1847
DOI: 10.1186/s13662-015-0654-9