Results 31 to 40 of about 5,951,539 (329)
Advances in Difference Equations, 2020 A synthetic drug transmission model with psychological addicts and time delay is proposed in this paper. By analyzing the corresponding characteristic equation and choosing the time delay as the bifurcation parameter, a set of sufficient criteria ...
Zizhen Zhang, Fangfang Yang, Wanjun Xia
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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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Dynamical Analysis of the Lorenz-84 Atmospheric Circulation Model
Journal of Applied Mathematics, 2014 The dynamical behaviors of the Lorenz-84 atmospheric circulation model are investigated based on qualitative theory and numerical simulations. The stability and local bifurcation conditions of the Lorenz-84 atmospheric circulation model are obtained.
Hu Wang, Yongguang Yu, Guoguang Wen
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Introduction to bifurcation theory [PDF]
Reviews of Modern Physics, 1991 The theory of bifurcation from equilibria based on center-manifold reduction and Poincar\'e-Birkhoff normal forms is reviewed at an introductory level. Both differential equations and maps are discussed, and recent results explaining the symmetry of the normal form are derived.
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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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On the torus bifurcation in averaging theory [PDF]
Journal of Differential Equations, 2020 In this paper, we take advantage of the averaging theory to investigate a torus bifurcation in two-parameter families of 2D nonautonomous differential equations. Our strategy consists in looking for generic conditions on the averaged functions that ensure the existence of a curve in the parameter space characterized by a Neimark-Sacker bifurcation in ...
Douglas D. Novaes, Murilo R. Cândido
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Analysis on recurrence behavior in oscillating networks of biologically relevant organic reactions
Mathematical Biosciences and Engineering, 2019 In this paper, we present a new method based on dynamical system theory to study certain type of slow-fast motions in dynamical systems, for which geometric singular perturbation theory may not be applicable.
Pei Yu, Xiangyu Wang
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A delayed computer virus model with nonlinear incidence rate
Systems Science & Control Engineering, 2019 An Susceptible-Vaccinated-Exposed-Infectious-Recovered computer virus model with nonlinear incidence rate and two delays is proposed and its Hopf bifurcation is investigated.
Yugui Chu, Wanjun Xia, Zecheng Wang
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Mathematics, 2019 This paper is devoted to an analysis on locating and counting satellite components born along the stability circle in the parameter space for a family of Jarratt-like iterative methods.
Young Hee Geum, Young Ik Kim
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Discrete prey-predator model with fear effect and strong Allee effect
Xi'an Gongcheng Daxue xuebao, 2023 The rich dynamic properties of a discrete prey-predator model with fear effect and strong Allee effect are studied. The piecewise constant argument method of differential equation is used to discretize the system, and the existence of equilibrium point ...
HU Xinli, LI Hanghang
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