Dynamical and optimal control analysis of lymphatic filariasis and buruli ulcer co-infection

Authors

  • Helen Olaronke Edogbanya Department of Mathematics, Federal University Lokoja, Nigeria
  • Emmanuel Sabastine Department of Mathematics, Federal University Lokoja, Nigeria
  • Rosalio G. Artes Jr. Mindanao State University Tawi-Tawi College of Technology and Oceanography, Philipines
  • Regimar A. Rasid Mindanao State University Tawi-Tawi College of Technology and Oceanography, Philipines

Keywords:

Neglected tropical disease, Mathematical model, Lymphatic filariasis, Buruli ulcer, Optimal control

Abstract

This study delves into the dynamics of lymphatic filariasis and buruli ulcer coinfection, two overlooked yet impactful tropical diseases. With lymphatic filariasis, commonly referred to as elephantiasis, and buruli ulcer, a chronic affliction caused by mycobacterium ulcerans, both posing significant health challenges, understanding their interaction is crucial. Utilizing a mathematical model, this research aims to analyze the dynamics of this coinfection, elucidating its complexities. The study establishes the local asymptotic stability of the disease-free equilibrium and calculates the basic reproduction number using the next generation matrix. It uncovers transcritical and backward bifurcation phenomena within the model. Additionally, the integration of time-dependent controls enables the exploration of optimal disease management strategies. Numerical simulations highlight the efficacy of employing a comprehensive approach, utilizing all available controls simultaneously, as the most effective strategy for disease control. These findings underscore the importance of integrated interventions in combating lymphatic filariasis and buruli ulcer coinfection, offering valuable insights for public health policymakers and practitioners.

Dimensions

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Published

2024-09-08

How to Cite

Dynamical and optimal control analysis of lymphatic filariasis and buruli ulcer co-infection. (2024). Journal of the Nigerian Society of Physical Sciences, 6(4), 1972. https://doi.org/10.46481/jnsps.2024.1972

Issue

Volume 6, Issue 4, November 2024 (In Progress)

Section

Mathematics & Statistics
Copyright & Licensing

Copyright (c) 2024 Helen Olaronke Edogbanya, Emmanuel Sabastine, Rosalio G. Artes Jr., Regimar A. Rasid

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

Dynamical and optimal control analysis of lymphatic filariasis and buruli ulcer co-infection. (2024). Journal of the Nigerian Society of Physical Sciences, 6(4), 1972. https://doi.org/10.46481/jnsps.2024.1972