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Applicable Analysis
An International Journal
Volume 95, 2016 - Issue 6
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Articles

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

Leonid ShaikhetDepartment of Higher Mathematics, Donetsk State University of Management, Chelyuskintsev Street 163a, Donetsk, 83015Ukraine.View further author information
&
Andrei KorobeinikovCentre de Recerca Matemática, Campus de Bellaterra, Edifici C, 08193 Bellaterra, Barcelona, Spain.;Departament de Matemátiques, Universitat Autónoma de Barcelona, 08193 Bellaterra, Barcelona, Spain.Correspondence[email protected]
View further author information
Pages 1228-1238 | Received 16 May 2014, Accepted 01 Jun 2015, Published online: 22 Jun 2015
 
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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.

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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].

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