Results 91 to 100 of about 1,893 (192)
A Holling-Tanner predator-prey model with strong Allee effect
, 2019 We analyse a modified Holling-Tanner predator-prey model where the predation functional response is of Holling type II and we incorporate a strong Allee effect associated with the prey species production.
Arancibia-Ibarra, Claudio +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 Computation of Takens-Bogdanov Points for Delay Differential Equations
, 2012 The paper presents a numerical technique for computing directly the Takens-Bogdanov points in the nonlinear system of differential equations with one constant delay and two parameters. By representing the delay differential equations as abstract ordinary
Mabonzo, Vital D., Xu, Yingxiang
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, 2016 Bursting is a phenomenon found in a variety of physical and biological systems. For example, in neuroscience, bursting is believed to play a key role in the way information is transferred in the nervous system.
Bernard, Christophe +3 more
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, 2008 We present a bifurcation analysis of a normal form for travelling waves in one-dimensional excitable media. The normal form which has been recently proposed on phenomenological grounds is given in form of a differential delay equation.
Georg A. Gottwald +5 more
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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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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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