Results 61 to 70 of about 332 (160)
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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Unfolding Symmetric Bogdanov–Takens Bifurcations for Front Dynamics in a Reaction–Diffusion System
Journal of Nonlinear Science, 2019 This manuscript extends the analysis of a much studied singularly perturbed three-component reaction-diffusion system for front dynamics in the regime where the essential spectrum is close to the origin. We confirm a conjecture from a preceding paper by proving that the triple multiplicity of the zero eigenvalue gives a Jordan chain of length three ...
Martina Chirilus-Bruckner +3 more
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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 +2 more
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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
AxiomsIn 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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Bifurcation Analysis in Models for Vector-Borne Diseases with Logistic Growth
The Scientific World Journal, 2014 We establish and study vector-borne models with logistic and exponential growth of vector and host populations, respectively. We discuss and analyses the existence and stability of equilibria.
Guihua Li, Zhen Jin
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Bifurcations of an SIRS model with generalized non-monotone incidence rate
Advances in Difference Equations, 2018 We consider an SIRS epidemic model with a more generalized non-monotone incidence: χ(I)=κIp1+Iq $\chi(I)=\frac{\kappa I^{p}}{1+I^{q}}$ with 01$, by qualitative and bifurcation analyses, we show that the model undergoes a saddle-node bifurcation, a Hopf ...
Jinhui Li, Zhidong Teng
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AxiomsA Leslie–Gower predator–prey model with nonlinear harvesting and a generalist predator is considered in this paper. It is shown that the degenerate positive equilibrium of the system is a cusp of codimension up to 4, and the system admits the cusp-type ...
Mengxin He, Zhong Li
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