[PDF] Top 20 Dynamics of a Discrete Predator Prey System with Beddington DeAngelis Function Response

... them, predator-prey models attracted more and more attention of biologists and ...of predator-prey models in the literature. In 1975, Beddington [1] and DeAngelis [2] proposed ... See full document

... complex dynamics of a discrete predator–prey system with a strong Allee effect on the prey and a ratio-dependent functional response, which is the discrete version ... See full document

... population dynamics which can occur in a system when two species interact with each other in the same ...by discrete times models. Discrete time models are easy to formulate and to simulate ... See full document

... also provide efficient models of continuous ones for numerical simulations. Therefore, it is reasonable and interesting to study discrete time systems governed by difference equations. Recently, there are some papers ... See full document

... The main shortcoming of (.) is that in the case of severe scarcity, y can switch over to other populations but its growth will be limited by the fact that its most favorite food x is not available in abundance. In ... See full document

... of predator-prey systems with stage structure for the prey, Holling type I functional response and nonlocal spatial ...population dynamics of a harvested species. In particular, ... See full document

... investigate discrete-time predator-prey model, especially when the size of population is rarely small or the population has no over- lapping ... See full document

... delayed predator-prey system with modified Leslie-Gower and Beddington-DeAngelis functional response is ...the prey and the predator into the ... See full document

... reaction–diffusion system of predator–prey model, the prey- taxis mechanism means a direct movement of the predator u in response to a variation of the prey v (which ... See full document

... a predator-prey model with Beddington-DeAngelis functional response under homogeneous Neumann boundary ...reaction-diffusion system; 2 the existence of Turing patterns; 3 the ... See full document

... nonautonomous system would have a positive periodic solution that is globally asymptotically stable, and the globally asymptotically stable periodic solution of the given system in the continuous case is ... See full document

... The organization of this paper is as follows. In Section 2, by means of suitable Lyapunov functions and LaSalle’s invariance principle, we establish sufficient conditions for the global stability of the ... See full document

... a discrete semi-ratio- dependent prey-predator ...delayed discrete prey-predator system with the help of Lyapunov ...a discrete prey-predator ... See full document

... the dynamics of ecological ...between predator and prey ...type predator-prey model has received more interest to investigate the dynamical behaviors between the ...of ... See full document

... the predator per prey item and ability of the predator to detect the prey ...many predator species. The role of alternative prey (additional food) in sustaining preda- tor ... See full document

... nineteen predator–prey systems prove that Bedding- ton–DeAngelis functional response provides better description of predator feeding over a range of predator–prey ... See full document

... of predator-prey models, which include bifurcations and chaos phenomena for the discrete-time ...the system undergoes a flip bifurcation and/or a Neimark-Sacker (NS) bifurcation by using ... See full document

... In this section, we assume that all the coefficients of system (1.3) are positive sequences with common periodic ω, where ω is a fixed positive integer, stands for the prescribed common period of the parameters in ... See full document

... two-prey system (see [14–18]) is the most common system in the ...one-predator–two- prey system with interspecies ...one-predator–two-prey system, one of the ... See full document

... realistic prey-predator models were introduced by Holling suggesting three kinds of functional responses for different species to model the phenomena of predation ...disease dynamics, porous medium, ... See full document