Asymmetrical Impact of Allee Effect on a Discrete-Time Predator-Prey System
نویسندگان
چکیده
منابع مشابه
Asymmetrical Impact of Allee Effect on a Discrete-Time Predator-Prey System
A discrete-time predator-prey model is proposed with Leslie-type numerical response, and the asymmetrical influence of Allee effect on the proposed system is investigated. By mathematical analysis, locally stable conditions for the equilibrium points of the considered systems with or without Allee effect are obtained firstly. Furthermore, numerical simulation is used to verify the results and d...
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This paper deals with a discrete-time predator–prey system with Allee effect. We obtain asymptotically stable conditions of the equilibrium points which are subject to the Allee effect. The stabilizing effect of Allee effect on prey and predator populations is studied, respectively. The Allee effect which occurs on both of predator and prey populations is also discussed by stability analysis, p...
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Global bifurcation analysis of a class of general predator-prey models with a strong Allee effect in prey population is given in details. We show the existence of a point-to-point heteroclinic orbit loop, consider the Hopf bifurcation, and prove the existence/uniqueness and the nonexistence of limit cycle for appropriate range of parameters. For a unique parameter value, a threshold curve separ...
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ژورنال
عنوان ژورنال: Journal of Applied Mathematics
سال: 2013
ISSN: 1110-757X,1687-0042
DOI: 10.1155/2013/973805