Work

Changes in American Cutaneous Leishmaniasis transmission in response to human case detection

Year: 2026

Type: article

Abstract: In this work, we investigate three mathematical models for the dynamics of American Cutaneous Leishmaniasis (ACL) transmission that are based on ordinary differential equations. The subpopulations of each model consists of infected incidental hosts, infected reservoir hosts, and infected vectors. The number of infected individual hosts is thought to influence the incidental host’s infection rate in the first model and the vectors’ death rate in the second whereas the third model integrates both of the impacts. There are two equilibrium points in each of the three models: the endemic equilibrium point and the disease-free equilibrium point. We noticed that the basic reproduction number is influenced by the overall populations of reservoir hosts and vectors, as well as the rates of infection and recovery of the reservoir hosts. For each model, the local and global stability of the two equilibrium points were investigated, and numerical simulations were carried out to support the analytical findings.

Source: Japan Journal of Industrial and Applied Mathematics

DOI: 10.1007/s13160-026-00791-0

Authors: Sharmin Sultana, Gilberto González-Parra, Luis Fernando Chaves

Institutions: Indiana University Bloomington, Indiana University, New Mexico Institute of Mining and Technology

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: hybrid

Estimated APC paid: $3,090