Dynamical Analysis of a Class of Prey-Predator Model with Beddington-DeAngelis Functional Response, Stochastic Perturbation, and Impulsive Toxicant Input
نویسندگان
چکیده
منابع مشابه
Periodic Solution of Prey-Predator Model with Beddington-DeAngelis Functional Response and Impulsive State Feedback Control
A prey-predator model with Beddington-DeAngelis functional response and impulsive state feedback control is investigated. We obtain the sufficient conditions of the global asymptotical stability of the system without impulsive effects. By using the geometry theory of semicontinuous dynamic system and themethod of successor function, we obtain the systemwith impulsive effects that has an order o...
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We consider a stochastic predator prey model with the Bedington -DeAngelis functional response. Firstly, we prove the existence, uniqueness and positivity of solutions. Then, the boundedness of moments of population are studied. Finally, we show the weak convergence of densities of prey to a singular measure in a special case, and give some upper growth and exponential death rates of population...
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This paper is concerned with a stochastic predator-prey model with Beddington DeAngelis functional response. The existence of the global solution and the ultimate boundedness of moments of the solution are proved. Moreover, we also estimate the average in time of the solution.
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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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ژورنال
عنوان ژورنال: Complexity
سال: 2017
ISSN: 1076-2787,1099-0526
DOI: 10.1155/2017/3742197