The effect of treatment compliance on the dynamics and control of Lassa fever: an insight from mathematical modeling

• Abayomi Ayotunde Ayoade ^[1] ; Oluwaseyi Aliu ^[2] ; Oyedepo Taiye ^[3]
  1. [1] University of Lagos

     University of Lagos

     Nigeria

     
  2. [2] Prototype Engineering Development Institute, Old Ife Road
  3. [3] Department of Applied Sciences, Federal College of Dental Technology and Therapy, Enugu

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• Localización: SeMA Journal: Boletín de la Sociedad Española de Matemática Aplicada, ISSN-e 2254-3902, ISSN 2254-3902, Vol. 82, Nº. 1, 2025, págs. 89-108
• Idioma: inglés
• DOI: 10.1007/s40324-024-00353-9
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• Resumen

  • Lassa fever is a zoonotic viral illness that is endemic in West Africa. The disease has been a subject of intensive research in the mathematics and non-mathematics fields after the first case was confirmed in Nigeria in 1969. Treatment is inevitable after the full incubation of a disease but there may not be a total compliance to treatment guidelines due to factors like poverty and ignorance especially in poor communities. These factors can seriously affect the dynamics of Lassa fever but have not been paid attentions to in the literature. Based on this, a stage of infection when the disease has been fully incubated is considered and a new mathematical model is designed to examine the effect of treatment compliance on the dynamics and control of Lassa fever. The model validity was examined and established using ample mathematics theorems. The equilibria and a threshold for disease eradication were derived. The stability was analyzed and the necessary and sufficient conditions for the equilibria of the model to be stable both locally and globally were derived. Further, sensitivity analysis was carried out to investigate the relative contributions of various parameters to Lassa fever spread and management. Numerical simulation was later conducted via a logical parameter values from the literature to visualize the effect of parameters perturbations on the dynamics of the disease. Results from the study revealed that Lassa fever eradication is a function of total compliance to treatment procedures.