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Methodology and Computing in Applied Probability

, Volume 18, Issue 3, pp 901–910 | Cite as

Stochastic Asymptotic Stability of Nowak-May Model with Variable Diffusion Rates

  • M. Pitchaimani
  • R. Rajaji
Article

Abstract

We consider a stochastically perturbed Nowak-May model of virus dynamics within a host. We prove the global existence of unique strong solution. Using the Lyapunov method, we found sufficient conditions for the stochastic asymptotic stability of equilibrium solutions of this model.

Keywords

Nowak-May model Stochastic asymptotic stability Lyapunov function 

Mathematics Subject Classification (2010)

60H10 60H30 92D30 93E15 

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References

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Copyright information

© Springer Science+Business Media New York 2016

Authors and Affiliations

  1. 1.Ramanujan Institute for Advanced Study in MathematicsUniversity of MadrasChennaiIndia

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