The effect of delay on a diffusive predator-prey system with Holling Type-II predator functional response
نویسندگان
چکیده
منابع مشابه
The Effect of Delay on a Diffusive Predator-prey System with Holling Type-ii Predator Functional Response
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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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 establish the existence of traveling wave solutions and small amplitude traveling wave train solutions for a reaction-diffusion system based on a predator–prey model with Holling type-III functional response. The analysis is in the three-dimensional phase space of the nonlinear ordinary differential equation system given by the diffusive predator– prey system in the traveling wave variable. ...
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In this paper, we introduce fractional order of a planar fractional prey-predator system with a nonmonotonic functional response and anti-predator behaviour such that the adult preys can attack vulnerable predators. We analyze the existence and stability of all possible equilibria. Numerical simulations reveal that anti-predator behaviour not only makes the coexistence of the prey and predator ...
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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: Communications on Pure and Applied Analysis
سال: 2012
ISSN: 1534-0392
DOI: 10.3934/cpaa.2013.12.481