Dynamical Behavior of a Stochastic Food-Chain System with Beddington-DeAngelis Functional Response
نویسندگان
چکیده
منابع مشابه
Impulsive Perturbations of a Three-Species Food Chain System with the Beddington-DeAngelis Functional Response
The dynamics of an impulsively controlled three-species food chain system with the BeddingtonDeAngelis functional response are investigated using the Floquet theory and a comparison method. In the system, three species are prey, mid-predator, and top-predator. Under an integrated control strategy in sense of biological and chemical controls, the condition for extinction of the prey and the mid-...
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...
متن کاملOn Permanence and Asymptotically Periodic Solution of A Delayed Three-level Food Chain Model with Beddington-DeAngelis Functional Response
This paper deals with a delayed three-level food chain model with Beddington-DeAngelis functional response. By using the differential inequality theory, a set of sufficient conditions are obtained for the permanence of the system. By constructing a suitable Liapunov function, we derive that the system has a unique asymptotically periodic solution which is globally asymptotically stable. An exam...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Abstract and Applied Analysis
سال: 2014
ISSN: 1085-3375,1687-0409
DOI: 10.1155/2014/426702