Stability of a stochastic model for HIV-1 dynamics within a host

Abstract

We consider a stochastically perturbed Nowak–May model of virus dynamics within a host. Using the direct Lyapunov method, we found sufficient conditions for the stability in probability of equilibrium states of this model.

Keywords:

• virus dynamics
• stochastic model
• direct Lyapunov method
• Lyapunov function
• equilibrium state

AMS Subject Classifications:

• Primary: 92D30
• Secondary: 34D20
• 60H10

Notes

No potential conflict of interest was reported by the authors.

Additional information

Funding

A. Korobeinikov is supported by the Ministry of Science and Innovation of Spain via Ramón y Cajal Fellowship [RYC-2011-08061] and [grant number MTM2011-29342] , by CONACYT (Mexico) via [grant number N219614], and by AGAUR (Generalitat de Catalunya) via [grant number 2014SGR-1307].