On studying the spread model of the HIV/AIDS epidemic

A. I. Shashkin ; M. V. Polovinkina ; I. P. Polovinkin

Contemporary Mathematics. Fundamental Directions, Proceedings of the Voronezh Winter Mathematical Krein School — 2024, Tome 70 (2024) no. 4, pp. 691-701

Résumé

The aim of this work is to study sufficient conditions for the asymptotic stability of the stationary solution of the initial-boundary value problem for a system of nonlinear partial differential equations describing the growth and spread of the HIV/AIDS epidemic. The above-mentioned model takes into account not only the factors taken into account by classical models, but also includes migration processes.

Détail

Keywords: system of nonlinear partial differential equations, initial-boundary value problem, stationary solution, mathematical modeling, spread model of the HIV/AIDS epidemic, migration processes.

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