Results 31 to 40 of about 263 (112)

Bifurcations of a modified Leslie–Gower predator–prey model with fear, Allee effect and hunting cooperation strategy

Journal of Biological Dynamics
The fear preoften leads to changes in the physiological characteristics of the prey. Different stages of prey exhibit different physiological behaviours, such as susceptibility to predator risk, which often leads to Allee effect.
Weili Kong, Yuanfu Shao
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Multiple bifurcations of a Leslie-type predator-prey model with additional food in predators

Xi'an Gongcheng Daxue xuebao
To investigate the impact of additional food for predators, a Leslie-Gower type predator-prey model with a Holling type Ⅲ functional response is established, assuming that the predator has multiple food sources.By applying the fundamental theorem of ...
LIU Junli, GUO Zhenghua
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Nonlinear Magnetoconvection in a Sparsely Packed Porous Medium

International Journal of Geophysics, 2011
Linear and weakly nonlinear properties of magnetoconvection in a sparsely packed porous medium are investigated. We have obtained the values of Takens-Bogdanov bifurcation points and codimension two bifurcation points by plotting graphs of neutral curves
A. Benerji Babu, Ragoju Ravi, S. G. Tagare   +2 more
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Codimension two and three bifurcations of a predator–prey system with group defense and prey refuge

Nonlinear Analysis, 2015
A predator–prey system with nonmonotonic functional response and prey refuge is considered. We mainly obtain that the system has the bifurcations of cusp-type codimension two and three, these illustrate that the dynamic behaviors of the model with prey ...
Xia Liu, Jinling Wang
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Bifurcation Analysis of an SIR Model with Logistic Growth, Nonlinear Incidence, and Saturated Treatment

Complexity, 2019
There is a wide range of works that have proposed mathematical models to describe the spread of infectious diseases within human populations. Based on such models, researchers can evaluate the effect of applying different strategies for the treatment of ...
Ángel G. C. Pérez, Eric Avila-Vales, Gerardo Emilio García-Almeida   +2 more
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M-current induced Bogdanov-Takens bifurcation and switching of neuron excitability class. [PDF]

J Math Neurosci, 2021
Al-Darabsah I, Campbell SA.
europepmc   +1 more source

Numerical Analysis of the Coupled Modified van der Pol Equations in a Model of Heart Action

Biomath, 2014
In this paper, a modified van der Pol equations are considered as a description of the heart action. Wide ranges of the model parameters yield interesting qualitative results, e.g.
Beata Zduniak
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An Improved Direct Method for Solving Power Systems Bogdanov-Takens Bifurcation

工程科学与技术, 2012
:There are large amount of calculation using continuation method to search the Bogdanov-Takens bifurcation point in power systems, and the traditional direct method requires accurate initial value, as its feature vector norm has uncertainty.
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Bifurcation Analysis of a Generalist Predator-Prey Model with Holling Type II Harvesting

Axioms
In this paper, we consider a generalist predator–prey model with nonlinear harvesting, which has at most eight non-negative equilibria. We prove that the double positive equilibrium is a cusp of codimension up to 3; therefore, the system exhibits a cusp ...
Mengxin He, Yiqin Wang
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Bogdanov-Takens singularity of a neural network model with delay

Electronic Journal of Differential Equations, 2016
In this article, we study Bogdanov-Takens (BT) singularity of a tree-neuron model with time delay. By using the frameworks of Campbell-Yuan [2] and Faria-Magalhaes [4,5], the normal form on the center manifold is derived for this singularity and hence
Xiaoqin P. Wu
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