American Journal of Applied Mathematics

Volume 7, Issue 3, June 2019

  • Sensitivity Analysis and Modeling the Impact of Screening on the Transmission Dynamics of Human Papilloma Virus (HPV)

    Eshetu Dadi Gurmu, Purnachandra Rao Koya

    Issue: Volume 7, Issue 3, June 2019
    Pages: 70-79
    Received: Jun. 21, 2019
    Accepted: Jul. 22, 2019
    Published: Aug. 26, 2019
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    Abstract: In this paper, a mathematical model on the Human Papilloma Virus (HPV) governed by a system of ordinary differential equations is developed. The aim of this study is to investigate the role of screening as a control strategy in reducing the transmission of the disease. It is shown that a solution for the system of model equations exists and is uniq... Show More
  • Monotone Method for Nonlinear First-order Hyperbolic Initial-boundary Value Problems of Moving Boundary

    Shaohua Wu, Di Chi

    Issue: Volume 7, Issue 3, June 2019
    Pages: 80-89
    Received: Jun. 21, 2019
    Accepted: Aug. 12, 2019
    Published: Aug. 30, 2019
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    Abstract: Moving boundary problems arise in many important applications to biology and chemistry. Comparing to the fixed boundary problem, moving boundary problem is more reasonable. To the best of our knowledge, there’s few results on the moving boundary for nonlinear first-order hyperbolic initial-boundary value problems. In the present paper, we mainly cl... Show More