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Hopf Bifurcation Analysis of a Two-Dimensional Simplified Hodgkin–Huxley Model
Mathematics, 2023 This paper presents a two-dimensional simplified Hodgkin–Huxley model under exposure to electric fields. The Hopf bifurcations of the simplified Hodgkin–Huxley model are investigated through qualitative analysis and numerical simulations. A necessary and
Hu Wang +3 more
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Axioms, 2023 In this paper, we introduce the Crowley–Martin functional response and nonlocal competition into a reaction–diffusion immunosuppressive infection model.
Yuan Xue, Jinli Xu, Yuting Ding
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Bifurcation analysis of glucose model with obesity effect
Alexandria Engineering Journal, 2021 Due to the importance of studying the change in glucose which affected by obesity and results in a negative effect on the health of the body, In this paper, glucose metabolism model was developed to study the effect of obesity.
Mahmoud A. Abd-Rabo +3 more
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Stability Analysis of a Modified Leslie–Gower Predation Model With Weak Allee Effect in the Prey
Frontiers in Applied Mathematics and Statistics, 2022 In this manuscript, we study a Leslie–Gower predator-prey model with a hyperbolic functional response and weak Allee effect. The results reveal that the model supports coexistence and oscillation of both predator and prey populations.
Claudio Arancibia-Ibarra +3 more
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Dynamic Analysis of a Particle Motion System
Mathematics, 2018 This paper formulates a new particle motion system. The dynamic behaviors of the system are studied including the continuous dependence on initial conditions of the system’s solution, the equilibrium stability, Hopf bifurcation at the equilibrium ...
Ning Cui, Junhong Li
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Wave propagation in the Lorenz-96 model [PDF]
Nonlinear Processes in Geophysics, 2018 In this paper we study the spatiotemporal properties of waves in the Lorenz-96 model and their dependence on the dimension parameter n and the forcing parameter F.
D. L. van Kekem, A. E. Sterk
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Advances in Difference Equations, 2018 In this paper, we put forward a fractional-order survival red blood cells model and study the dynamics through the Hopf bifurcation. When the delay transcends the threshold, a series of Hopf bifurcations occur at the positive equilibrium.
Qingshan Sun +6 more
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Bifurcations and Turing patterns in a diffusive Gierer–Meinhardt model
Electronic Journal of Qualitative Theory of Differential Equations, 2023 In this paper, the Hopf bifurcations and Turing bifurcations of the Gierer–Meinhardt activator-inhibitor model are studied. The very interesting and complex spatially periodic solutions and patterns induced by bifurcations are analyzed from both ...
Yong Wang, Mengping Guo, Weihua Jiang
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Dynamics of a plant-herbivore model with a chemically-mediated numerical response
Mathematics in Applied Sciences and Engineering, 2021 A system of two ordinary differential equations is proposed to model chemically-mediated interactions between plants and herbivores by incorporating a toxin-modified numerical response.
Lin Wang, James Watmough, Fang Yu
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Dynamics of a Discretization Physiological Control System
Discrete Dynamics in Nature and Society, 2007 We study the dynamics of solutions of discrete physiological control system obtained by Midpoint rule. It is shown that a sequence of Hopf bifurcations occurs at the positive equilibrium as the delay increases and we analyze the stability of the solution
Xiaohua Ding, Huan Su
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