A stochastic SICA epidemic model for HIV transmission
Jasmina Djordjevic, Cristiana J. Silva, Delfim F. M. Torres
TL;DR
This paper introduces a stochastic SICA model for HIV transmission, analyzing its behavior under environmental noise, proving solution properties, and identifying conditions for disease extinction or persistence.
Contribution
It presents a novel stochastic SICA epidemic model for HIV, including existence, uniqueness, and long-term behavior analysis under stochastic perturbations.
Findings
Proven existence and uniqueness of solutions.
Derived conditions for HIV extinction.
Numerical simulations illustrating theoretical results.
Abstract
We propose a stochastic SICA epidemic model for HIV transmission, described by stochastic ordinary differential equations, and discuss its perturbation by environmental white noise. Existence and uniqueness of the global positive solution to the stochastic HIV system is proven, and conditions under which extinction and persistence in mean hold, are given. The theoretical results are illustrated via numerical simulations.
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