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Stability and Neimark–Sacker Bifurcation of a Delay Difference Equation
Mathematics, 2023 In this paper, we revisit a delay differential equation. By using the semidiscretization method, we derive its discrete model. We mainly deeply dig out a Neimark–Sacker bifurcation of the discrete model.
Shaoxia Jin, Xianyi Li
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Global dynamics, Neimark-Sacker bifurcation and hybrid control in a Leslie’s prey-predator model
Alexandria Engineering Journal, 2022 In the present study, we explore the topological classifications at fixed points, global dynamics, Neimark-Sacker bifurcation and hybrid control in the two-dimensional discrete-time Leslie’s prey-predator model.
A.Q. Khan +2 more
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Neimark-Sacker Bifurcation in a Discrete-Time Financial System [PDF]
Discrete Dynamics in Nature and Society, 2010 A discrete-time financial system is proposed by using forward Euler scheme. Based on explicit Neimark-Sacker bifurcation (also called Hopf bifurcation for map) criterion, normal form method and center manifold theory, the system's existence, stability ...
Baogui Xin, Tong Chen, Junhai Ma
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Neimark-Sacker Bifurcation Analysis for a Discrete-Time System of Two Neurons [PDF]
Abstract and Applied Analysis, 2012 A class of discrete-time system modelling a network with two neurons is considered. First, we investigate the global stability of the given system. Next, we study the local stability by techniques developed by Kuznetsov to discrete-time systems.
Changjin Xu
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Advances in Difference Equations, 2019 In this paper, the dynamical behaviors of a discrete-time prey–predator model with Allee effect on the prey population are investigated. The existence and topological classification of the fixed points of the model are analyzed.
Figen Kangalgil
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Stability and Bifurcation Analysis of Fifth-Order Nonlinear Fractional Difference Equation
Fractal and Fractional, 2023 In this paper, a rational difference equation with positive parameters and non-negative conditions is used to determine the presence and direction of the Neimark–Sacker bifurcation.
Abdul Khaliq +6 more
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Bifurcation and hybrid control of a discrete eco-epidemiological model with Holling type-III. [PDF]
PLoS ONEIn this paper, a three dimensional discrete eco-epidemiological model with Holling type-III functional response is proposed. Boundedness of the solutions of the system is analyzed.
Lizhi Fei, Hengmin Lv, Heping Wang
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Discrete Dynamics in Nature and Society, 2012 A new bifurcation critical criterion of flip-Neimark-Sacker bifurcation is proposed for detecting or anticontrolling this type of codimension-two bifurcation of discrete systems in a general sense. The criterion is built on the properties of coefficients
Shengji Yao
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Neimark–Sacker Bifurcation of a Discrete-Time Predator–Prey Model with Prey Refuge Effect
Mathematics, 2023 In this paper, we deduce a predator–prey model with discrete time in the interior of R+2 using a new discrete method to study its local dynamics and Neimark–Sacker bifurcation.
Binhao Hong, Chunrui Zhang
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Entropy, 2017 Wind-induced vegetation patterns were proposed a long time ago but only recently a dynamic vegetation-sand relationship has been established. In this research, we transformed the continuous vegetation-sand model into a discrete model.
Feifan Zhang +4 more
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