Dynamics of the density dependent and nonautonomous predator-prey system with Beddington-DeAngelis functional response
نویسندگان
چکیده
منابع مشابه
Dynamics of a nonautonomous predator–prey system with the Beddington–DeAngelis functional response
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 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 ...
متن کاملDynamics of a stochastic predator-prey system with Beddington-DeAngelis functional response
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.
متن کاملDynamics of a stochastic non-autonomous predator-prey system with Beddington-DeAngelis functional response
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...
متن کاملDynamics of a Stochastic Predator -prey Model with the Beddington -deangelis Functional Response
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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ژورنال
عنوان ژورنال: Discrete and Continuous Dynamical Systems - Series B
سال: 2015
ISSN: 1531-3492
DOI: 10.3934/dcdsb.2015.20.1117