Results 31 to 40 of about 90,692 (222)
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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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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Electronic Research Archive, 2022 In this paper, we use a semi-discretization method to explore a predator-prey model with Michaelis-Menten functional response. Firstly, we investigate the local stability of fixed points. Then, by using the center manifold theorem and bifurcation theory,
Xianyi Li, Xingming Shao
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Electronic Research Archive, 2023 In this paper, a discrete predator-prey model incorporating Allee effect and cannibalism is derived from its continuous version by semidiscretization method.
Zhuo Ba, Xianyi Li
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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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Dynamics and Bifurcation of $x_{n+1}=\frac{\alpha+\beta x_{n-2}}{A+Bx_{n}+C x_{n-2}}$
Journal of Mathematical Sciences and Modelling, 2021 In this paper, we study dynamics and bifurcation of the third order rational difference equation \begin{eqnarray*} x_{n+1}=\frac{\alpha+\beta x_{n-2}}{A+Bx_{n}+Cx_{n-2}}, ~~n=0, 1, 2, \ldots \end{eqnarray*} with positive parameters $\alpha, \beta, A, B ...
Mohammad Saleh, Batool Raddad
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On the Neimark–Sacker bifurcation in a discrete predator–prey system [PDF]
Journal of Biological Dynamics, 2010 A two-parameter family of discrete models describing a predator-prey interaction is considered, which generalizes a model discussed by Murray, and originally due to Nicholson and Bailey, consisting of two coupled nonlinear difference equations. In contrast to the original case treated by Murray, where the two populations either die out or may display ...
A N W, Hone, M V, Irle, G W, Thurura
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NEIMARK-SACKER BIFURCATION AND CONTROL OF CHAOTIC BEHAVIOR IN A DISCRETE-TIME PLANT-HERBIVORE SYSTEM
Journal of Science and Arts, 2022 In this study, the dynamics of a discrete-time plant-herbivore model obtained using the forward Euler method are discussed. The existence of fixed points is investigated.
Ö. Gümüs, A. Selvam, R. Janagaraj
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Stability and cycles in a cobweb model with heterogeneous expectations [PDF]
, 2004 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 ...
Lasselle, Laurence +11 more
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, 2023 The impulsive state feedback control is used to create Neimark-Sacker bifurcation for a three-degree-of-freedom vibro-impact system with clearances. The linear control gains are determined to guarantee the existence of Neimark-Sacker bifurcation by using
Ji, J, Xu, H
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