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Bifurcation and hybrid control of a discrete eco-epidemiological model with Holling type-III. [PDF]
PLoS ONEIn this paper, a three dimensional discrete eco-epidemiological model with Holling type-III functional response is proposed. Boundedness of the solutions of the system is analyzed.
Lizhi Fei, Hengmin Lv, Heping Wang
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Mathematical and Computer Modelling of Dynamical SystemsIn this paper, a discrete predator-prey model incorporating herd behaviour and square root response function is deduced from its continuous version by the semi-discretization method.
Xianyi Li
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Dynamics of a Discrete Leslie–Gower Model with Harvesting and Holling-II Functional Response
Mathematics, 2023 Recently, Christian Cortés García proposed and studied a continuous modified Leslie–Gower model with harvesting and alternative food for predator and Holling-II functional response, and proved that the model undergoes transcritical bifurcation, saddle ...
Chen Zhang, Xianyi Li
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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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Effect of energetic electrons on transcritical bifurcation of low-frequency electrostatic waves in plasma [PDF]
مجله علوم و فنون هستهای, 2022 This paper studies the bifurcation types and phase portrait properties of ion-acoustic traveling waves in a plasma comprising warm adiabatic ions and energetic electrons with a nonthermal distribution function. A dynamical system is first derived for the
H. Alinejad
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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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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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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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上海师范大学学报. 自然科学版, 2020 In this paper, an amensalism model with Crowley-Martin type functional response is proposed. The existence and stability of all possible equilibria of the system are investigated.
WEI Zhen, GAN Shengjin
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Modeling and Analyzing the Influence of Fear on the Harvested Modified Leslie-Gower Model
مجلة بغداد للعلوم, 2023 A modified Leslie-Gower predator-prey model with a Beddington-DeAngelis functional response is proposed and studied. The purpose is to examine the effects of fear and quadratic fixed effort harvesting on the system's dynamic behavior.
Abdul Rahman Mahmoud Jamil +1 more
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