Mathematical Analysis and Parameter Estimation of a Two-Patch Zika Model

Authors

  • Kifah Al-Maqrashi Department of Mathematics, Sultan Qaboos University, Muscat, Oman Author
  • Fatma Al-Musalhi Centre of Preparatory Studies, Sultan Qaboos University, Muscat, Oman Author
  • Ibrahim Elmojtaba Department of Mathematics, Sultan Qaboos University, Muscat, Oman Author
  • Nasser Al-Salti Department of Applied Mathematics and Science, National University of Science and Technology, Muscat, Oman Author

DOI:

https://doi.org/10.30707/LiB10.1.1682014077.806265

Keywords:

Zika virus, Multi-patch model, Reproduction number, Sensitivity analysis

Abstract

In this paper, we developed a multi-patch model for the spread of Zika virus infection taking, into account direct and indirect transmissions along with vertical transmission. The model was analyzed to gain insights into the disease's spread. The model was fitted to a data set collected from two neighboring countries, Brazil and Colombia, to estimate some of its parameters and use it for calculating R0 and sensitivity analysis. Our results show that R0 is less than one in both countries, which indicates that the disease will die out. Also, our results show that direct transmission is the most important route for spreading the disease; hence, it has to gain more focus in any controlling strategy.

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Published

2023-01-30

Issue

Section

Research

How to Cite

Mathematical Analysis and Parameter Estimation of a Two-Patch Zika Model. (2023). Letters in Biomathematics, 10(1), 29-41. https://doi.org/10.30707/LiB10.1.1682014077.806265

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