Analysis of model for the transmission dynamics of Zika with sterile insect technique

Authors

  • Usman A. Danbaba DST-NRF Centre of Excellence in Mathematical and Statistical Sciences (CoE-MaSS)
  • Salisu M. Garba Department of Mathematics and Applied Mathematics, University of Pretoria, Pretoria, South Africa

DOI:

https://doi.org/10.11145/texts.2018.01.083

Abstract

A deterministic model for the transmission dynamics of Zika, that takes into account the aquatic and non-aquatic stages of mosquito development is constructed and rigorously analysed. The model with fraction of male mosquitoes being sterilized assumed direct (human-human) and indirect (human-mosquito-human) transmission. Stability analysis of the equilibria and sensitivity analysis of parameters associated with the computed reproduction number were presented. Numerical simulation were carried out to support the analysis.

Author Biography

Usman A. Danbaba, DST-NRF Centre of Excellence in Mathematical and Statistical Sciences (CoE-MaSS)

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Published

2018-01-19

Issue

Mathematical Methods and Models in Biosciences

Section

Conference Proceedings

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