Results 11 to 20 of about 3,010 (176)
The Diffusion-Driven Instability for a General Time-Space Discrete Host-Parasitoid Model
Discrete Dynamics in Nature and Society, 2023 In this paper, we consider a general time-space discrete host-parasitoid model with the periodic boundary conditions. We analyzed and obtained some usual conditions, such as Turing instability occurrence, Flip bifurcation occurrence, and Neimark-Sacker ...
Xuetian Zhang, Chunrui Zhang
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Complex Dynamic Analysis for a Rent-Seeking Game with Political Competition and Policymaker Costs
Mathematics, 2023 This paper investigates the dynamics of rent-seeking games that include political competition and policymaker cost model. The local asymptotic stability of multiple equilibrium points and Nash equilibrium points are studied.
Xiuqin Yang, Feng Liu, Hua Wang
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Behavior Analysis of a Class of Discrete-Time Dynamical System with Capture Rate
Mathematics, 2022 In this paper, we study the stability and bifurcation analysis of a class of discrete-time dynamical system with capture rate. The local stability of the system at equilibrium points are discussed.
Xiongxiong Du, Xiaoling Han, Ceyu Lei
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Complex Dynamics Analysis of a Discrete Amensalism System with a Cover for the First Species
Axioms, 2022 Of interest is the dynamics of the discrete-time amensalism model with a cover on the first species. We first obtain the existence and stability of fixed points and the conditions for the permanent coexistence of two species.
Qimei Zhou, Fengde Chen, Sijia Lin
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Flip and Neimark–Sacker Bifurcations in a Coupled Logistic Map System [PDF]
Discrete Dynamics in Nature and Society, 2020 In this paper, we consider a system of strongly coupled logistic maps involving two parameters. We classify and investigate the stability of its fixed points. A local bifurcation analysis of the system using center manifold theory is undertaken and then supported by numerical computations.
A. Mareno, L. Q. English
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A Novel Discrete-Time Leslie–Gower Model with the Impact of Allee Effect in Predator Population
Complexity, 2022 The discrete-time system has more complex and chaotic dynamical behaviors as compared to the continuous-time system. This paper extends a discrete Leslie–Gower predator-prey system with the Allee effect in the predator’s population, whose dynamics are ...
S. Vinoth +5 more
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Discrete Dynamics in Nature and Society, 2018 We present in this paper an investigation on a discrete predator-prey system with Crowley-Martin type functional response to know its complex dynamics on the routes to chaos which are induced by bifurcations.
Huayong Zhang +5 more
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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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Bifurcation Analysis and 0-1 Chaos Test of a Discrete T System
Chaos Theory and Applications, 2023 This study examines discrete-time T system. We begin by listing the topological divisions of the system's fixed points. Then, we analytically demonstrate that a discrete T system sits at the foundation of a Neimark Sacker(NS) bifurcation under specific ...
Sarker Md Sohel Rana
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Stability and bifurcation analysis for a single-species discrete model with stage structure
Advances in Difference Equations, 2018 In this paper, a single-species discrete model with stage structure is investigated. By analyzing the corresponding characteristic equations, the local asymptotic stability of non-negative equilibrium points and the existence of flip bifurcation are ...
Daiyong Wu, Min Zhao, Hai Zhang
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