Mathematical analysis of basic transmission dynamics model for Zika virus infection

Document Type : Original Article

Authors

1 Department of Mathematics, Modibbo Adama University, Yola, Adamawa, Nigeria

2 Department of Mathematical Sciences, Bayero University Kano, Kano, Nigeria

Abstract
In this article, we develop, validate and analyze an age-structured mathematical model of the Zika virus infection by incorporating vectorial, vertical and sexual transmission into the dynamics. The model is shown to be mathematically well-posed and epidemiologically feasible. Analysis of the model shows that, vectorial transmission contributes higher percent followed by sexual transmission, while vertical transmission in aquatic vectors contributes nearly insignificant percentage. Sensitivity analysis revealed that, the mosquito-human ratio constant, biting rate and the effective sexual contact rate are the most sensitive parameters in the disease reproduction numbers of the model.

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Subjects


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Volume 6, Issue 3
Summer 2025
Pages 125-142

  • Receive Date 17 December 2024
  • Revise Date 29 September 2025
  • Accept Date 29 September 2025