American Journal of Applied Mathematics

Archive

Volume 7, Issue 2, April 2019

  • Optimal Control Strategy for the Transmission Dynamics of Typhoid Fever

    Temesgen Debas Awoke

    Issue: Volume 7, Issue 2, April 2019
    Pages: 37-48
    Received: 13 April 2019
    Accepted: 28 May 2019
    Published: 26 June 2019
    DOI: 10.11648/j.ajam.20190702.11
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    Abstract: The author developed a deterministic mathematical model for Typhoid fever disease dynamics that accounts for Vaccination and relapse of treatment. Three control strategies (vaccination, treatment of infection, screening and treatment of carriers) are applied to investigate the optimal intervention strategy of controlling Typhoid disease transmissio... Show More
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  • Solitary and Periodic Wave Solutions of the Fourth Order Boussinesq Equation Through the Novel Exponential Expansion Method

    Ayrin Aktar, Md Mashiur Rahhman, Kamalesh Chandra Roy

    Issue: Volume 7, Issue 2, April 2019
    Pages: 49-57
    Received: 21 April 2019
    Accepted: 13 June 2019
    Published: 27 June 2019
    DOI: 10.11648/j.ajam.20190702.12
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    Abstract: This article presents the new exact traveling wave solutions of fourth order (1+1)-dimensional Boussinesq equation. We proposed a new exponential expansion method and apply to undertake this study. The analytical solutions are defined by various types of mathematical functions. This study further shows some solitary and periodic waves graphically. ... Show More
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  • Strong Matching Preclusion for Augmented Butterfly Networks

    Jinyu Zou, Yan Sun, Chengfu Ye

    Issue: Volume 7, Issue 2, April 2019
    Pages: 58-62
    Received: 24 May 2019
    Accepted: 27 June 2019
    Published: 9 July 2019
    DOI: 10.11648/j.ajam.20190702.13
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    Abstract: The matching preclusion number of a graph is the minimum number of edges whose deletion results in a graph that has neither perfect matchings nor almost-perfect matchings. The strong matching preclusion number (or simply, SMP number) smp(G) of a graph G is the minimum number of vertices and/or edges whose deletion results in a graph that has neithe... Show More
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  • Mathematical Models of the Effect of Colloidal Surfactants on the Strength of Alkaline Concrete

    Аlexander Shishkin, Alexandra Shishkina

    Issue: Volume 7, Issue 2, April 2019
    Pages: 63-69
    Received: 14 June 2019
    Accepted: 5 July 2019
    Published: 17 July 2019
    DOI: 10.11648/j.ajam.20190702.14
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    Abstract: Under certain conditions, an increase in the rate of hydration of the binding substance increases the strength of concrete at compression. This is especially true for the reactive powder concretes. We studied the effect of surface-active substances, capable of forming micelles, on the rate of formation and the resulting magnitude of strength at com... Show More
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