Permanence, extinction and periodic solution of predator–prey system with Beddington–DeAngelis functional response
نویسندگان
چکیده
منابع مشابه
Permanence and Asymptotically Periodic Solution for A Cyclic Predator-Prey Model With Sigmoidal Type Functional Response
This paper is concerned with a cyclic predator-prey system with Sigmoidal type functional response. By using the differential inequality theory, some sufficient conditions are derived for the permanence of the system. By constructing a suitable Liapunov function, we obtain that the system has a unique asymptotically periodic solution which is globally asymptotically stable. Some numerical simul...
متن کاملResearch Article Permanence and Periodic Solution of Predator-Prey System with Holling Type Functional Response and Impulses
In biomathematics, many mathematical models have been established to describe the relationships between species and the outer environment, and the connections between different species. Among the relationships between the species living in the same outer environment, the predator-prey theory plays an important and fundamental role. The dynamic relationship between predators and their prey has l...
متن کاملPermanence and Periodic Solution for a Predator- Prey Model with Mixed-Type Functional Response
In this paper, a predator-prey model with mixed-type functional response is investigated. Sufficient conditions are derived that guarantee the permanence of the system. Meanwhile, when the system is periodic, we obtain the sufficient conditions which guarantee the existence, uniqueness and global asymptotic stability of the positive periodic solution. Numerical simulations are also presented to...
متن کاملPermanence and Extinction of a Generalized Gause-Type Predator-Prey System with Periodic Coefficients
and Applied Analysis 3 Vance and Coddington 35 have studied system 1.4 and proved the existence of a unique periodic solution under some assumptions. Apart from the assumptionwementioned above that f ·, x is ω-periodic, the other assumptions with a mild modification are as follows. A1 Function f is continuous and differentiable with respect to x on R2 0, and ∂f/∂x is continuous on R2 0. A2 Ther...
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: Journal of Mathematical Analysis and Applications
سال: 2006
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2005.10.011