Periodic solutions of a predator–prey system with stage-structures for predator and prey
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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The traditional Lotka-Volterra-type predator-prey model has received great attention from both theoretical and mathematical biologists, and has been well studied (see, e.g., [5, 8, 9]). It is assumed in the classical Lotka-Volterra predator-prey model that each individual predator admits the same ability to attack prey. This assumption seems not to be realistic for many animals. In the natural ...
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A delayed periodic predator–prey model with stage structure for predator is proposed. It is assumed that immature individuals and mature individuals of the predator are divided by a fixed age, and that immature predators do not have the ability to attack prey. Sufficient conditions are derived for the existence, uniqueness and global asymptotic stability of positive periodic solutions of the mo...
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and Applied Analysis 3 To the best of the authors’ knowledge, for the nonautonomous case of predatorprey systems with two predators which consume immature prey and stage structure for prey, whether one could obtain the sufficient and necessary conditions which insure the permanence of the system or not is still an open problem. The aim of this paper is, by further developing the analysis techni...
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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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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2005
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2003.11.033