Global behavior for a diffusive 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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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...
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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 ...
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ژورنال
عنوان ژورنال: Boundary Value Problems
سال: 2012
ISSN: 1687-2770
DOI: 10.1186/1687-2770-2012-111