Dynamics of a Diffusive Predator-Prey Model with Allee Effect on Predator
نویسندگان
چکیده
منابع مشابه
The complex dynamics of a diffusive prey–predator model with an Allee effect in prey
This paper investigates complex dynamics of a predator–prey interactionmodel that incorporates: (a) an Allee effect in prey; (b) the Michaelis–Menten type functional response between prey and predator; and (c) diffusion in both prey and predator.We provide rigorousmathematical results of the proposedmodel including: (1) the stability of non-negative constant steady states; (2) sufficient condit...
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and Applied Analysis 3 replication: stripes, cold/hot spots-stripes coexistence, and cold/hot spots patterns. Without the Allee effect, Peng and Wang [29, 30] analyzed the global stability of the unique positive constant steady state and established some results for the existence and nonexistence of positive nonconstant steady states. Wang et al. [31] considered the Turing and Hopf bifurcations...
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Article history: Received 3 November 2010 Revised 4 March 2011 Available online 24 March 2011 MSC: 35K57 35B36 35B32 92D40
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In this paper, we have studied the diffusive predator-prey model with Monod-Haldane functional response. The stability of the positive equilibrium and the existence of Hopf bifurcation are investigated by analyzing the distribution of eigenvalues without diffusion. We also study the spatially homogeneous and non-homogeneous periodic solutions through all parameters of the system which are spati...
متن کاملPredator-prey system with strong Allee effect in prey.
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: Discrete Dynamics in Nature and Society
سال: 2013
ISSN: 1026-0226,1607-887X
DOI: 10.1155/2013/984960