Work

Effect of Environmental Precaution on the Transmission of Typhoid Fever: A Mathematical Modelling Approach

Year: 2024

Type: article

Abstract: We proposed and analyzed a nonlinear mathematical model for typhoid fever and optimal control in a community with overpopulation. The model considered the effect of environmental precautions on the transmission of typhoid fever. We obtained the basic reproduction number denoting the epidemic indicator. We proved the local and global asymptomatic stability conditions for disease-free and endemic equilibrium. The model exhibits strategies for optimal control of typhoid fever, such as preventive strategies (environmental sanitation, proper hygiene, vaccination) and the treatment strategy. The numerical simulation of typhoid fever disease transmission and its maximum control summarized that prevention and treatment are the best methods for eradicating the disease in society. Since which is less than one, it follows that the disease-free equilibrium is asymptomatically stable, and that the disease will always die out.

Source: EDUCATUM Journal of Science Mathematics and Technology

DOI: 10.37134/ejsmt.vol12.1.10.2025

Authors: Oluwatobi Kabir Idowu, Latifat Morenikeji Erinle-Ibrahim, Joshua Oluwasegun Agbomola, Sideeqoh Oluwaseun Olawale-Shosanya

Institutions: Purdue University West Lafayette, Tai Solarin University of Education, Tulane 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

OpenAlex ID: W4405138072

FWCI: 1.152

Cites:

Cited by: 3

Related to: 10