Seasonally Perturbed Prey-Predator Ecological System with the Beddington-DeAngelis Functional Response
نویسندگان
چکیده
منابع مشابه
Seasonally Perturbed Prey-Predator Ecological System with the Beddington-DeAngelis Functional Response
On the basis of the theories and methods of ecology and ordinary differential equation, a seasonally perturbed prey-predator system with the Beddington-DeAngelis functional response is studied analytically and numerically. Mathematical theoretical works have been pursuing the investigation of uniformly persistent, which depicts the threshold expression of some critical parameters. Numerical ana...
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In this paper, we systematically study the dynamics of a nonautonomous predator–prey system with the Beddington–DeAngelis functional response. The explorations involve the permanence, extinction, global asymptotic stability (general nonautonomous case); the existence, uniqueness and stability of a positive (almost) periodic solution and a boundary (almost) periodic solution for the periodic (al...
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In this paper, a predator–prey system with Beddington–DeAngelis functional response is studied, where the predator preys on n competing preys. We prove that the system admits very rich dynamics, including permanence, ultimate boundedness, extinction. Moreover, under some appropriate assumptions, there exists a unique almost periodic solution which is shown to be globally asymptotically stable.
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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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A stochastic non-autonomous predator-prey system with Beddington-DeAngelis functional response is proposed, the existence of a global positive solution and stochastically ultimate boundedness are derived. Sufficient conditions for extinction, non-persistence in the mean, weak persistence in the mean and strong persistence in the mean are established. The global attractiveness of the solution is...
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ژورنال
عنوان ژورنال: Discrete Dynamics in Nature and Society
سال: 2012
ISSN: 1026-0226,1607-887X
DOI: 10.1155/2012/150359