Diffusive predator-prey models with stage structure on prey and Beddington-DeAngelis functional responses
نویسندگان
چکیده
منابع مشابه
Protection zone in a diffusive predator-prey model with Beddington-DeAngelis functional response.
In any reaction-diffusion system of predator-prey models, the population densities of species are determined by the interactions between them, together with the influences from the spatial environments surrounding them. Generally, the prey species would die out when their birth rate is too low, the habitat size is too small, the predator grows too fast, or the predation pressure is too high. To...
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In this article, we study the dynamics of a density-dependent predator-prey system of Beddington-DeAngelis type. We obtain sufficient and necessary conditions for the existence of a unique positive equilibrium, the global attractiveness of the boundary equilibrium, and the permanence of the system, respectively. Moreover, we derive a sufficient condition for the locally asymptotic stability of ...
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This paper deals with the question of existence of periodic solutions of nonautonomous predator–prey dynamical systems with Beddington–DeAngelis functional response. We explore the periodicity of this system on time scales. New sufficient conditions are derived for the existence of periodic solutions. These conditions extend previous results presented in [M. Bohner, M. Fan, J. Zhang, Existence ...
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ژورنال
عنوان ژورنال: Communications on Pure and Applied Analysis
سال: 2017
ISSN: 1534-0392
DOI: 10.3934/cpaa.2017022