IPM strategies to a discrete switching predator-prey model induced by a mate-finding Allee effect
نویسندگان
چکیده
منابع مشابه
Indirect Allee Effect, Bistability and Chaotic Oscillations in a Predator-Prey Discrete Model of Logistic Type
A cubic discrete coupled logistic equation is proposed to model the predator-prey problem. The coupling depends on the population size of both species and on a positive constant λ , which could depend on the prey reproduction rate and on the predator hunting strategy. Different dynamical regimes are obtained when λ is modified. For small λ , the species become extinct. For a bigger λ , the prey...
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and Applied Analysis 3 2. The Model System Inmodel (1), the productf(u)g(V) gives the rate atwhich prey is consumed. The prey consumed per predator, f(u)g(V)/V, was termed as the functional response by Solomon [63]. These functions can be defined in differentways. In this paper, following Lotka [64], we adopt f (u) = cu, (4) which is a linear functional response without saturation, where c > 0 ...
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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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A ratio-dependent predator-prey model with strong Allee effect on prey is analyzed by making a parametric analysis of stability properties of dynamics on the system in which the functional response is a function of the ratio of prey to predator. It is shown that incorporating of Allee effect on prey equation significantly modifies the dynamics of the original system, as the modified model invol...
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: Journal of Biological Dynamics
سال: 2019
ISSN: 1751-3758,1751-3766
DOI: 10.1080/17513758.2019.1682200