Results 1 to 10 of about 2,177 (166)
Open Mathematics, 2022 In this paper, a discrete Leslie-Gower predator-prey system with Michaelis-Menten type harvesting is studied. Conditions on the existence and stability of fixed points are obtained.
Chen Jialin +3 more
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Stability and Cycles in a Cobweb Model with Heterogeneous Expectations [PDF]
We investigate the dynamics of a cobweb model with heterogeneous beliefs, generalizing the example of Brock and Hommes (1997). We examine situations where the agents form expectations by using either rational expectations, or a type of adaptive ...
Clem Tisdell +2 more
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Bifurcations and chaos in a novel discrete economic system
Advances in Mechanical Engineering, 2019 In this article, a novel discrete system based on an economic model is introduced. Conditions for local stability of the model’s fixed points are obtained. Existence of supercritical Neimark–Sacker bifurcation is shown around the game’s Nash equilibrium.
A Al-khedhairi, AE Matouk, SS Askar
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IEEE Access, 2020 Vegetation pattern is one of the most important self-organized patterns in ecological systems. The formation mechanism of vegetation patterns has been attributed to dynamic bifurcations, while from the external perspective, the regularity of patterns ...
Feifan Zhang +4 more
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Study on the Compatibility of Multi-Bifurcations by Simulations of Pattern Formation
IEEE Access, 2019 Bifurcation is considered the main mathematical mechanism for the formation of spatial self-organizing patterns in many studies. When bifurcation was initially defined, only the transition of the system from stable state to unstable state or from uniform
Feifan Zhang +4 more
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Global dynamics and bifurcation analysis of a host–parasitoid model with strong Allee effect
Journal of Biological Dynamics, 2017 In this paper, we study the global dynamics and bifurcations of a two-dimensional discrete time host–parasitoid model with strong Allee effect. The existence of fixed points and their stability are analysed in all allowed parametric region.
Abdul Qadeer Khan +2 more
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Neimark-Sacker Bifurcation and Chaos Control in a Fractional-Order Plant-Herbivore Model
Discrete Dynamics in Nature and Society, 2017 This work is related to dynamics of a discrete-time 3-dimensional plant-herbivore model. We investigate existence and uniqueness of positive equilibrium and parametric conditions for local asymptotic stability of positive equilibrium point of this model.
Qamar Din, A. A. Elsadany, Hammad Khalil
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Stability and Bifurcations in a Discrete-Time Eco-Evolutionary Logistic Model
MathematicsIn this paper I study a two-dimensional discrete-time evolutionary logistic-type model describing the coupled dynamics of population density and a continuously evolving trait.
Rafael Luís
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Flip and Neimark-Sacker Bifurcations of a Discrete Time Predator-Pre Model
IEEE Access, 2019 In this paper, we investigate the system undergoes flip and Neimark Sacker bifurcation in the interior of R+2 by using the center manifold theorem and bifurcation theory. The dynamics of this discrete time predator-pre model is investigated in the closed
Yong Li +4 more
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Stability and bifurcation analysis in a host–parasitoid model with Hassell growth function
Advances in Difference Equations, 2018 In this paper, a discrete-time host–parasitoid model with Hassell growth function for the host is considered. The sufficient conditions for the existence of the equilibrium points are obtained and a local stability analysis of the model is performed.
Figen Kangalgil, Senol Kartal
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