Work

Optimal Control of an Infectious Disease Model in Case of Imperfect Testing

Year: 2025

Type: article

Abstract: In this work, we study the spread of a communicable disease using an SIR model that includes the effect of imperfect testing. The model is extended by adding birth and natural death rates, and it uses a standard incidence rate to describe disease dynamics over a long period, rather than just during an outbreak. We find the disease-free equilibrium and the basic reproduction number to analyze the system’s stability. To control transmission and testing rates, we set up an optimal control problem to find the best values. To do this, we simulate three different control problems: one with only isolation, one with only testing, and one with both. We see that reducing contact between susceptible and infected people is very important, along with having an effective testing strategy.

Source: Sinop Üniversitesi Fen Bilimleri Dergisi

DOI: 10.33484/sinopfbd.1637257

Authors: Tuğba Akman, Rana Esen, Fikriye Yılmaz

Institutions: University of Turkish Aeronautical Association, Gazi University

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: diamond

Funder: Gazi Üniversitesi