Results 11 to 20 of about 557 (90)
Accurate reduction of a model of circadian rhythms by delayed quasi steady state assumptions [PDF]
, 2013 Quasi steady state assumptions are often used to simplify complex systems of ordinary differential equations in modelling of biochemical processes. The simplified system is designed to have the same qualitative properties as the original system and to ...
Vejchodský, Tomáš
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Bifurcations and exact traveling wave solutions for the regularized Schamel equation
Open Mathematics, 2021 In the present paper, we focus on studying the bifurcations and the traveling wave solutions (TWSs) for the regularized Schamel equation. Based on the bifurcation method of a dynamical system, a complete phase portrait analysis is given in various ...
Cai Qiue, Tan Kaixuan, Li Jiang
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Structural stability of the two-fold singularity [PDF]
, 2012 At a two-fold singularity, the velocity vector of a flow switches discontinuously across a codimension one switching manifold, between two directions that both lie tangent to the manifold. Particularly intricate dynamics arises when the local flow curves
Angulo Garcia, David +4 more
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Bifurcation analysis of HIV infection model with cell-to-cell transmission and non-cytolytic cure
Computational and Mathematical Biophysics, 2023 A mathematical model is proposed and discussed to study the effect of cell-to-cell transmission, the non-cytolytic process, and the effect of logistic growth on the dynamics of HIV in vivo.
Prakash Surya +2 more
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Bifurcation diagrams of one-dimensional Kirchhoff-type equations
Advances in Nonlinear Analysis, 2022 We study the one-dimensional Kirchhoff-type equation −(b+a‖u′‖2)u″(x)=λu(x)p,x∈I≔(−1,1),u(x)>0,x∈I,u(±1)=0,-\left(b+a\Vert u^{\prime} {\Vert }^{2}){u}^{^{\prime\prime} }\left(x)=\lambda u{\left(x)}^{p},\hspace{1em}x\in I:= \left(-1,1),\hspace{1em}u\left ...
Shibata Tetsutaro
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Topology and Homoclinic Trajectories of Discrete Dynamical Systems [PDF]
, 2012 We show that nontrivial homoclinic trajectories of a family of discrete, nonautonomous, asymptotically hyperbolic systems parametrized by a circle bifurcate from a stationary solution if the asymptotic stable bundles Es(+{\infty}) and Es(-{\infty}) of ...
A. Abbondandolo +24 more
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Prey-predator model in drainage system with migration and harvesting
Nonautonomous Dynamical Systems, 2021 In this paper, we consider a prey-predator model with a reserve region of predator where generalist predator cannot enter. Based on the intake capacity of food and other factors, we introduce the predator population which consumes the prey population ...
Roy Banani, Roy Sankar Kumar
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On stability and bifurcation of solutions of an SEIR epidemic model with vertical transmission
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 56, Page 2971-2987, 2004., 2004 A four‐dimensional SEIR epidemic model is considered. The stability of the equilibria is established. Hopf bifurcation and center manifold theories are applied for a reduced three‐dimensional epidemic model. The boundedness, dissipativity, persistence, global stability, and Hopf‐Andronov‐Poincaré bifurcation for the four‐dimensional epidemic model are ...
M. M. A. El-Sheikh, S. A. A. El-Marouf
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Preface. Bifurcations and Pattern Formation in Biological Applications [PDF]
, 2016 In the preface we present a short overview of articles included in the issue "Bifurcations and pattern formation in biological applications" of the journal Mathematical Modelling of Natural ...
A. Morozov +27 more
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Impact of fear in a prey-predator system with herd behaviour
Computational and Mathematical Biophysics, 2021 Fear of predation plays an important role in the growth of a prey species in a prey-predator system. In this work, a two-species model is formulated where the prey species move in a herd to protect themselves and so it acts as a defense strategy.
Saha Sangeeta, Samanta Guruprasad
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