Dynamics of the HBV Model with Diffusion and Time Delay

Dynamics of the HBV Model with Diffusion and Time Delay

A delayed reaction-diffusion model is established to describe the hepatitis B virus (HBV) infection and control, where the diffusion is confined to a finite domain. By using the method of upper-lower solutions, we obtain the sufficient conditions for the existence of traveling wave solutions of reac...

Ausführliche Beschreibung

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Bibliographische Detailangaben
Hauptverfasser: Meihong Qiao, Huan Qi
Format: Tagungsbericht
Sprache:eng
Schlagworte:
Biological system modeling
Computational biology
Delay effects
Delay systems
Drugs
Equations
HBV
Liver diseases
Medical control systems
Medical treatment
Monotone iteration
Propagation delay
Reaction-diffusion systems with delay
Travelling wave fronts
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Beschreibung
Zusammenfassung:A delayed reaction-diffusion model is established to describe the hepatitis B virus (HBV) infection and control, where the diffusion is confined to a finite domain. By using the method of upper-lower solutions, we obtain the sufficient conditions for the existence of traveling wave solutions of reaction--diffusion systems with delay. The travelling wave front, derived in this paper, corresponds to medicine injection that drives HBV to extinction. The result shows that HBV can be eliminated if the parameters satisfy some suitable conditions.
DOI:10.1109/IWCFTA.2009.68