Results 31 to 40 of about 4,438 (207)
AIMS Mathematics, 2022 In this paper we revisit a discrete predator-prey model with Holling Ⅳ functional response. By using the method of semidiscretization, we obtain new discrete version of this predator-prey model. Some new results, besides its stability of all fixed points
Mianjian Ruan, Chang Li, Xianyi Li
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Transcritical and Hopf Bifurcation Analysis of Cyberattacks in Software-Defined Networking
IFAC-PapersOnLineBabatounde Okounlola Simon Biaou +2 more
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A balance equation determines a switch in neuronal excitability. [PDF]
PLoS Computational Biology, 2013 We use the qualitative insight of a planar neuronal phase portrait to detect an excitability switch in arbitrary conductance-based models from a simple mathematical condition. The condition expresses a balance between ion channels that provide a negative
Alessio Franci +3 more
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Complex Behaviors of Epidemic Model with Nonlinear Rewiring Rate
Complexity, 2020 An SIS propagation model with the nonlinear rewiring rate on an adaptive network is considered. It is found by bifurcation analysis that the model has the complex behaviors which include the transcritical bifurcation, saddle-node bifurcation, Hopf ...
Ding Fang, Yongxin Zhang, Wendi Wang
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Bifurcation analysis in a discrete predator–prey model with herd behaviour and group defense
Electronic Research Archive, 2023 In this paper, we utilize the semi-discretization method to construct a discrete model from a continuous predator-prey model with herd behaviour and group defense.
Jie Xia, Xianyi Li
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Complex Dynamics of a Predator-Prey System With Gompertz Growth and Herd Behavior
International Journal of Analysis and Applications, 2023 The complex dynamics of a predator-prey system in discrete time are studied. In this system, we consider the prey’s Gompertz growth and the square-root functional response. The existence of fixed points and stability are examined.
Rizwan Ahmed, M. B. Almatrafi
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Finite-time nonautonomous bifurcation in impulsive systems
Electronic Journal of Qualitative Theory of Differential Equations, 2016 The purpose of this article is to investigate nonautonomous bifurcation in impulsive differential equations. The impulsive finite-time analogues of transcritical and pitchfork bifurcation are provided.
Marat Akhmet, Ardak Kashkynbayev
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Bifurcation analysis for Shil'nikov Chaos Electro-dissolution of Copper.
Zanco Journal of Pure and Applied Sciences, 2022 This paper is devoted to study the local bifurcations and stability of three dimensional systems that representing a Shil'nikov chaos during copper electro-dissolution. The local stability analysis of equilibrium points has been studied.
Jihan Mustafa Mirkhan +1 more
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Bifurcations of Orbit and Inclination Flips Heteroclinic Loop with Nonhyperbolic Equilibria
The Scientific World Journal, 2014 The bifurcations of heteroclinic loop with one nonhyperbolic equilibrium and one hyperbolic saddle are considered, where the nonhyperbolic equilibrium is supposed to undergo a transcritical bifurcation; moreover, the heteroclinic loop has an orbit flip ...
Fengjie Geng, Junfang Zhao
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Complicate dynamics of a discrete predator-prey model with double Allee effect
Mathematical Modelling and Control, 2022 In this paper, a discrete predator-prey model with double Allee effect is discussed. We first simplify the corresponding continuous predator-prey model, and use the semidiscretization method to obtain a new discrete model.
Shaosan Xia, Xianyi Li
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