A Mathematical and Optimal Control Model for Rabies Transmission Dynamics Among Humans and Dogs With Environmental Effects
This study presents a deterministic model to investigate rabies transmission dynamics, incorporating environmental effects and control strategies using optimal control theory. Qualitative and quantitative analyses reveal that the disease‐free equilibrium is stable when the effective reproduction number and unstable when . Mesh and contour plots illustrate an inverse relationship between and control strategies, including dog vaccination, health promotion, and postexposure treatment. Increased intervention reduces transmission, while higher contact rates among dogs raise . Numerical simulations with optimal control confirm the effectiveness of integrated strategies. Vaccination and treatment are identified as key interventions for achieving rabies elimination within 5 years.
Authors
- Sayoki Mfinanga (ORCID: https://orcid.org/0000-0001-9067-2684)
- Mfano Charles (ORCID: https://orcid.org/0009-0008-8294-940X)
- Verdiana Grace Masanja (ORCID: https://orcid.org/0000-0003-4844-9133)
- Delfim F. M. Torres (ORCID: https://orcid.org/0000-0001-8641-2505)
- G.A. Lyakurwa (ORCID: https://orcid.org/0000-0001-7917-692X)
Institutions
- College of Business Education (TZ)
- National Institute for Medical Research (TZ)
- University of Aveiro (PT)
- Nelson Mandela African Institution of Science and Technology (TZ)
Publication Details
- Journal
- Journal of Applied Mathematics
- Published
- 2025-01-01
- DOI
- https://doi.org/10.1155/jama/5559842
- Primary Topic
- Rabies epidemiology and control
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- National Institute of Advanced Industrial Science and Technology
- Nelson Mandela African Institution of Science and Technology
- Center for Research and Development in Mathematics and Applications
- Fundação para a Ciência e a Tecnologia