{"ID":2896344,"CreatedAt":"2026-06-01T04:54:23.091178241Z","UpdatedAt":"2026-06-01T04:54:23.091178241Z","DeletedAt":null,"paper_url":"https://arxiv.org/abs/2507.08895","arxiv_id":"2507.08895","title":"A Mathematical and Optimal Control Model for Rabies Transmission Dynamics Among Humans and Dogs with Environmental Effects","abstract":"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 $\\mathcal{R}_e \u003c 1$, and unstable when $\\mathcal{R}_e \u003e 1$. Mesh and contour plots illustrate an inverse relationship between $\\mathcal{R}_e$ and control strategies, including dog vaccination, health promotion, and post-exposure treatment. Increased intervention reduces transmission, while higher contact rates among dogs raise $\\mathcal{R}_e$. Numerical simulations with optimal control confirm the effectiveness of integrated strategies. Vaccination and treatment are identified as key interventions for achieving rabies elimination within five years.","short_abstract":"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 $\\mathcal{R}_e \u003c...","url_abs":"https://arxiv.org/abs/2507.08895","url_pdf":"https://arxiv.org/pdf/2507.08895v1","authors":"[\"Mfano Charles\",\"Sayoki G. Mfinanga\",\"G. A. Lyakurwa\",\"Delfim F. M. Torres\",\"Verdiana G. Masanja\"]","published":"2025-07-10T23:03:40Z","proceeding":"math.OC","tasks":"[\"math.OC\",\"q-bio.PE\"]","methods":"[]","has_code":false}