Work

Stochastic extension of a two-strain SIR model with non-monotone incidence functions: Analysis of stochastic thresholds and disease dynamics

Year: 2025

Type: article

Abstract: In this manuscript, we consider a two-strain SIR epidemic model with two non-monotonic transmission processes, moving from a deterministic to a stochastic differential framework with noise incorporated into the incidence functions. Within the stochastic regime, we identify two stochastic critical thresholds that dictate the dynamics of the disease, steering it towards either extinction or persistence in mean over time. We establish the existence of a unique positive solution using stochastic Lyapunov functions and corroborate our theoretical findings with numerical simulations, providing a concise yet comprehensive insight into the complex disease dynamics under stochastic influences.

Source: Results in Physics

DOI: 10.1016/j.rinp.2025.108396

Authors: Dounia Bentaleb, Saida Amine

Institutions: Université Hassan II Mohammedia, University of Hassan II Casablanca

Language: English

Topic: Mathematical and Theoretical Epidemiology and Ecology Models

Subfield: Public Health, Environmental and Occupational Health

Field: Medicine

Domain: Health Sciences

Open Access status: gold

Estimated APC paid: $1,920

OpenAlex ID: W4413353409

FWCI:

Cites: 27

Cited by:

Related to: 10