Global dynamics of a predator-prey system with Holling type II functional response
نویسندگان
چکیده
منابع مشابه
Global dynamics of a predator-prey system with Holling type II functional response∗
Abstract. In this paper, a predator-prey system with Holling type II functional response and stage structure is investigated. By analyzing the corresponding characteristic equations, the local stability of each of feasible equilibria of the system is studied. The existence of the orbitally asymptotically stable periodic solution is established. By using suitable Lyapunov functions and the LaSal...
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We consider a delayed predator-prey system with Holling II functional response. Firstly, the paper considers the stability and local Hopf bifurcation for a delayed prey-predator model using the basic theorem on zeros of general transcendental function, which was established by Cook etc.. Secondly, special attention is paid to the global existence of periodic solutions bifurcating from Hopf bifu...
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A delayed diffusive predator-prey system with Holling type-II predator functional response subject to Neumann boundary conditions is considered here. The stability/instability of nonnegative equilibria and associated Hopf bifurcation are investigated by analyzing the characteristic equations. By the theory of normal form and center manifold, an explicit formula for determining the stability and...
متن کاملThe Asymptotic Behavior of a Stochastic Predator-Prey System with Holling II Functional Response
and Applied Analysis 3 disease. From this point, we say the stochastic model is more realistic than the deterministic model. The rest of this paper is organized as follows. In Section 2, we show that there is a unique nonnegative solution of system 1.3 . In Section 3, we show that there is a stationary distribution under small white noise. While in Section 4, we consider the situation when the ...
متن کاملProperties of a stochastic predator-prey system with Holling II functional response
In this paper, a stochastic predator-prey system with Holling II functional response is studied. First, we show that there is a unique positive solution to the system for any given positive initial value. Then, stochastically bounded of the positive solution to the stochastic system is derived. Moreover, sufficient conditions for global asymptotic stability are also established. In the end, som...
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ژورنال
عنوان ژورنال: Nonlinear Analysis: Modelling and Control
سال: 2011
ISSN: 2335-8963,1392-5113
DOI: 10.15388/na.16.2.14109