Results 81 to 90 of about 1,843 (161)
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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Canard explosion in delayed equations with multiple timescales [PDF]
, 2014 We analyze canard explosions in delayed differential equations with a one-dimensional slow manifold. This study is applied to explore the dynamics of the van der Pol slow-fast system with delayed self-coupling.
Krupa, Maciej, Touboul, Jonathan D.
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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 of a model of the budding yeast cell cycle
, 2004 We study the bifurcations of a set of nine nonlinear ordinary differential equations that describe the regulation of the cyclin-dependent kinase that triggers DNA synthesis and mitosis in the budding yeast, Saccharomyces cerevisiae.
Battogtokh, Dorjsuren, Tyson, John J.
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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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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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Practical initialization of homoclinic orbits from a Bogdanov-Takens point [PDF]
, 2014 In a recent paper [IJBC, 24(04):1450057, 2014], we improved the theoretical base for the initialization of homoclinic orbits. However, practical application of this method is not very robust without the consideration of some numerical issues.
Al-Hdaibat, Bashir +3 more
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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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Bogdanov–Takens and triple zero bifurcations in general differential systems with m delays
Nonlinear Analysis, 2016 This paper mainly concerns the derivation of the normal forms of the Bogdanov–Takens (BT) and triple zero bifurcations for differential systems with m discrete delays.
Xia Liu, Jingling Wang
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