Mathematical Modelling and Applications

Volume 4, Issue 3, September 2019

  • Application of Homotopy Analysis Method for Solving an SEIRS Epidemic Model

    Inyama Simeon Chioma, Ekeamadi Godsgift Ugonna, Uwagboe Osazee Michael, Omame Andrew, Mbachu Hope Ifeyinwa, Uwakwe Joy Ijeoma

    Issue: Volume 4, Issue 3, September 2019
    Pages: 36-48
    Received: Jun. 10, 2019
    Accepted: Jul. 15, 2019
    Published: Sep. 03, 2019
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    Abstract: In this paper, we modified the model of [23] and then applied a new semi-analytic technique namely the Homotopy Analysis Method (HAM) in solving the SEIRS Epidemic Mathematical Model. The modified SEIRS model wasfirst formulated and adequately analyzed. We investigated the basic properties of the model by proving the positivity of the solutions and... Show More