Results 11 to 20 of about 890 (173)
A note on the direction of the transcritical bifurcation in epidemic models
In classical epidemic models, it is common to observe that a disease-free equilibrium looses its stability for R0=1 and a transcritical bifurcation takes place.
Bruno Buonomo
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Transcritical bifurcation of an immunosuppressive infection model [PDF]
In this paper, the dynamic behavior of an immunosuppressive infection model, speci_cally AIDS, is analyzed. We show through a simple mathematical model that a sigmoidal CTL response can lead to the occurrence of transcritical bifurcation.
Elham Shamsara +2 more
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Dinâmica não-linear e reagente limitante: um exemplo de bifurcação transcrítica
The nonlinear analysis of a general mixed second order reaction was performed, aiming to explore some basic tools concerning the mathematics of nonlinear differential equations. Concepts of stability around fixed points based on linear stability analysis
Diego J. R. da Silva
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Transcritical bifurcations in nonintegrable Hamiltonian systems [PDF]
We report on transcritical bifurcations of periodic orbits in non-integrable two-dimensional Hamiltonian systems. We discuss their existence criteria and some of their properties using a recent mathematical description of transcritical bifurcations in families of symplectic maps.
Brack M., Tanaka K.
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Transcritical Bifurcation for the Conditional Distribution of a Diffusion Process
In this article, we describe a simple class of models of absorbed diffusion processes with parameter, whose conditional law exhibits a transcritical bifurcation. Our proofs are based on the description of the set of quasi-stationary distributions for general two-clusters reducible processes.
Benaïm, Michel +3 more
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Nonautonomous transcritical and pitchfork bifurcations in impulsive systems [PDF]
For the first time analogues of nonautonomous transcritical and pitchfork bifurcations are investigated for impulsive systems.
Akhmet, M. U., Kashkynbayev, A.
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Transcritical bifurcation in a multiparametric nonlinear system
<abstract><p>In this paper we study a multiparametric nonlinear system with a transcritical bifurcation in a region of points of $ \mathbb{R}^3 $. The parametric regions that constitute the boundaries where important qualitative changes occur in the dynamics of the system are determined.
Osmin Ferrer +2 more
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Dynamic analysis and control of a rice-pest system under transcritical bifurcations [PDF]
A decision model is developed by adopting two control techniques, combining cultural methods and pesticides in a hybrid approach. To control the adverse effects in the long term and to be able to evaluate the extensive use of pesticides on the environment and nearby ecosystems, the novel decision model assumes the use of pesticides only in an emergency
Sajib Mandal +3 more
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Finite-time nonautonomous bifurcation in impulsive systems
The purpose of this article is to investigate nonautonomous bifurcation in impulsive differential equations. The impulsive finite-time analogues of transcritical and pitchfork bifurcation are provided.
Marat Akhmet, Ardak Kashkynbayev
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Recently, bistable viral infection systems have attracted increased attention. In this paper, we study bistability and robustness for virus infection models with nonmonotonic immune responses in viral infection systems. The results show that the existing
Tengfei Wang, Shaoli Wang, Fei Xu
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