A differential equation model of HIV infection of CD4 T-cells with delay.
Yang, Junyuan, Wang, Xiaoyan, Zhang, Fengqin (2008)
Discrete Dynamics in Nature and Society
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Displaying similar documents to “Hopf bifurcation for a model of HIV infection of T cells with virus released delay.”
A differential equation model of HIV infection of CD4 T-cells with delay.
Hopf bifurcation of a mathematical model for growth of tumors with an action of inhibitor and two time delays.
Shi, Bao, Zhang, Fangwei, Xu, Shihe (2011)
Abstract and Applied Analysis
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An epidemic model with a time delay in transmission
Q. J. A. Khan, E. V. Krishnan (2003)
Applications of Mathematics
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We study a mathematical model which was originally suggested by Greenhalgh and Das and takes into account the delay in the recruitment of infected persons. The stability of the equilibria are also discussed. In addition, we show that the introduction of a time delay in the transmission term can destabilize the system and periodic solutions can arise by Hopf bifurcation.
The effect of time delay and Hopf bifurcation in a tumor-immune system competition model with negative immune response
Radouane Yafia (2009)
Applicationes Mathematicae
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We consider a system of delay differential equations modelling the tumor-immune system competition with negative immune response and three positive stationary points. The dynamics of the first two positive solutions are studied in terms of the local stability. We are particularly interested in the study of the Hopf bifurcation problem to predict the occurrence and stability of a limit cycle bifurcating from the second positive stationary point, when the delay (taken as a parameter) crosses...
Analysis of a delayed SIR model with nonlinear incidence rate.
Zhang, Jin-Zhu, Jin, Zhen, Liu, Quan-Xing, Zhang, Zhi-Yu (2008)
Discrete Dynamics in Nature and Society
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Hopf bifurcation analysis for the van der Pol equation with discrete and distributed delays.
Zhou, Xiaobing, Jiang, Murong, Cai, Xiaomei (2011)
Discrete Dynamics in Nature and Society
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A delayed mathematical model for testosterone secretion with feedback control mechanism.
Mukhopadhyay, Banibrata, Bhattacharyya, Rakhi (2004)
International Journal of Mathematics and Mathematical Sciences
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A viral infection model with a nonlinear infection rate.
Yu, Yumei, Nieto, Juan J., Torres, Angela, Wang, Kaifa (2009)
Boundary Value Problems [electronic only]
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Bifurcation analysis in a kind of fourth-order delay differential equation.
Cui, Xiaoqian, Wei, Junjie (2009)
Discrete Dynamics in Nature and Society
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Hybrid matrix models and their population dynamic consequences
Sanyi Tang (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
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In this paper, the main purpose is to reveal what kind of qualitative dynamical changes a continuous age-structured model may undergo as continuous reproduction is replaced with an annual birth pulse. Using the discrete dynamical system determined by the stroboscopic map we obtain an exact periodic solution of system with density-dependent fertility and obtain the threshold conditions for its stability. We also present formal proofs of the supercritical flip bifurcation at the bifurcation...