Numerical Simulations and Solutions of a Mathematical Model for Zika Virus Disease

Authors

  • Emmanuel Chidiebere Duru Department of Mathematics, Michael Okpara University of Agriculture, Umudike, Nigeria
  • Godwin C. E. Mbah Department of Mathematics, University of Nigeria Nsukka, Nigeria
  • Alwell Uzoma Department of Mathematics, Alvan Ikoku Federal University of Education, Nigeria

Keywords:

Differential transform method, Modelling, Simulation, Sterile insect technique, Zika virus

Abstract

In this work, a new model for Zika virus disease is formulated. The model incorporates the effects of treatment and use of sterile insect technique in controlling the spread of Zika in human and mosquito populations respectively. The existence and uniqueness of solutions to the model are shown. The model is also shown to be well-posed epidemiologically. The semi-analytical solutions of the model are obtained by differential transform methods and compare with the numerical solutions by Runge-Kutta method of order 4 and is seen to perform relatively well. Numerical simulations show how effective the various controls suggested help to reduce the spread of the disease. The analysis also highlights the health burdens associated with increasing cases of asymptomatic occurrences. The analyses show that combining control strategies produces a better result in controlling the spread of Zika virus than using any of the controls individually.

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Published

16-04-2025

How to Cite

Duru, E. C., Mbah, G. C. E., & Uzoma, A. (2025). Numerical Simulations and Solutions of a Mathematical Model for Zika Virus Disease. Applications of Modelling and Simulation, 9, 139–153. Retrieved from https://www.ojs.arqiipubl.com/index.php/AMS_Journal/article/view/835

Issue

Vol. 9 (2025)

Section

Articles

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Copyright (c) 2025 Emmanuel Chidiebere Duru, Godwin C. E. Mbah, Alwell Uzoma

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