Random effects in HIV infection model at Eclipse stage

Pitchaimani M. and Brasanna Devi M.

Physica A: Statistical Mechanics and its Applications, 2020, vol. 554, issue C

Abstract: In Mathematical biological models, the disease transmission rates play a crucial role by admitting different contexts in the course of disease dynamics. In the present work, an endeavor to understand the HIV dynamics with cure at Eclipse stage of infection with specific non-linear incidence rates have been accomplished. Together with the analysis on stability properties of the solutions at equilibrium points, the aggressive nature of the disease over longer period has been instituted by adopting the Lyapunov technique. The effort taken to perceive the vigorousness of the infection has not been limited to theoretical perspectives but supplemented with numerical evidences. The numerical substantiations widened the spectacular view to settle upon and rely on the presented model with randomness over other modeling approaches.

Keywords: Infection transmission rate; Lyapunov function; Stochastic asymptotic stability; Persistence (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:554:y:2020:i:c:s0378437120303368

DOI: 10.1016/j.physa.2020.124681

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