Work

Two Populations but a One-Mitigation Policy: A β(·)-SIR Approach

Year: 2025

Type: article

Abstract: In the case of a high-risk infectious disease affecting two distinct (without demographic interactions) human populations, e.g., differentiated by their settlement areas, we assume the implementation of a health non-pharmaceutical mitigation policy. However, this policy is based solely on indicators from one of the populations. Using a mathematical model that integrates β(·)-SIR representations—where β(·) is a variable specific to each population and is governed by a dynamic law (a differential equation coupled to state variables)—the dynamic consequences of the epidemiological processes in both populations are explored and compared analytically and numerically. Mainly, it studies the role of the so-called reaction (intensity of the mitigation) and restitution factor (human compliance).

Source: Axioms

DOI: 10.3390/axioms14040259

Authors: Fernando Córdova-Lepe, Juan Pablo Gutiérrez-Jara, Karina Vilches-Ponce, Rafael Lozada-Yavina

Institutions: Catholic University of the Maule, Universidad Santo Tomás

Language: English

Topic: Mathematical and Theoretical Epidemiology and Ecology Models

Subfield: Public Health, Environmental and Occupational Health

Field: Medicine

Domain: Health Sciences

SDG: Good health and well-being

Open Access status: gold

Estimated APC paid: $2,896