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Stability Analysis of a Viral Model with Intercellular Delay


Affiliations
1 Department of Basic Science and Humanities, Vignan Institute of Technology and Science, Deshmukhi, Hyderabad-508284. TS., India
2 Department of Mathematics, JNTU College of Engineering, Kukatpally, Hyderabad-5000080, TS, India
     

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A three compartment model with healthy cells, infected cells, and free virus has been considered incorporating time delays. We derived the conditions for global asymptotic stability and showed that the chronic infected equilibrium is asymptotically stable for all delay. Numerical simulations are presented to illustrate the results.

Keywords

Compartment Model, Asymptotic Stability, Delay, Chronic, Viral Infection.
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  • Stability Analysis of a Viral Model with Intercellular Delay

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Authors

B. N. R. Karuna
Department of Basic Science and Humanities, Vignan Institute of Technology and Science, Deshmukhi, Hyderabad-508284. TS., India
K. Lakshmi Narayan
Department of Basic Science and Humanities, Vignan Institute of Technology and Science, Deshmukhi, Hyderabad-508284. TS., India
B. Ravindra Reddy
Department of Mathematics, JNTU College of Engineering, Kukatpally, Hyderabad-5000080, TS, India

Abstract


A three compartment model with healthy cells, infected cells, and free virus has been considered incorporating time delays. We derived the conditions for global asymptotic stability and showed that the chronic infected equilibrium is asymptotically stable for all delay. Numerical simulations are presented to illustrate the results.

Keywords


Compartment Model, Asymptotic Stability, Delay, Chronic, Viral Infection.

References