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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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Hopf Bifurcation, Hopf-Hopf Bifurcation, and Period-Doubling Bifurcation in a Four-Species Food Web [PDF]
Mathematical Problems in Engineering, 2018 Complex dynamics of a four-species food web with two preys, one middle predator, and one top predator are investigated. Via the method of Jacobian matrix, the stability of coexisting equilibrium for all populations is determined. Based on this equilibrium, three bifurcations, i.e., Hopf bifurcation, Hopf-Hopf bifurcation, and period-doubling ...
Huayong Zhang +5 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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Zero-Hopf bifurcation and Hopf bifurcation for smooth Chua’s system [PDF]
Advances in Difference Equations, 2018 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Junze Li, Yebei Liu, Zhouchao Wei
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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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Optimization of Hopf Bifurcation Points
SIAM Journal on Scientific Computing, 2023 We introduce a numerical technique for controlling the location and stability properties of Hopf bifurcations in dynamical systems. The algorithm consists of solving an optimization problem constrained by an extended system of nonlinear partial differential equations that characterizes Hopf bifurcation points.
Nicolas Boullé +2 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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