• Login
    View Item 
    •   MMUST Institutional Repository
    • University Journals/ Articles
    • Gold Collection
    • View Item
    •   MMUST Institutional Repository
    • University Journals/ Articles
    • Gold Collection
    • View Item
    JavaScript is disabled for your browser. Some features of this site may not work without it.

    Mathematical Modelling and Analysis of Corruption of Morals amongst Adolescents with Control Measures in Kenya

    Thumbnail
    View/Open
    6662185.pdf (1.462Mb)
    Date
    2021-04-21
    Author
    Mokaya, Nathan Oigo
    Alemmeh, Haileyesus Tessema
    Ngari, Cyrus Gitonga
    Muthuri, Grace Gakii
    Metadata
    Show full item record
    Abstract
    In the present paper, we formulate a new mathematical model for the dynamics of moral corruption with comprehensive age-appropriate sexual information and provision of guidance and counselling. The population is subdivided into three (3) different compartments according to their level of information on sexual matters. The model is proved to be both epidemiologically and mathematically well posed. The existence of unique morally corrupt-free and endemic equilibrium points is investigated. The basic reproduction number with respect to morally corrupt-free equilibrium is obtained using next generation matrix approach to monitor the dynamics of corrupt morals and ascertain its level in order to suggest effective intervention strategies to control this problem. The local as well as global asymptotic stability of these equilibrium points is studied. The analysis reveals a globally asymptotically stable morally corrupt-free equilibrium whenever and a globally asymptotically stable endemic equilibrium if otherwise. Further analysis, using center manifold theory, shows that the model exhibits forward bifurcation insinuating that the classical epidemiological requirement of is necessary and sufficient for elimination of moral corruption. A brief discussion on the graphical results using the available numerical procedures is shown. From numerical simulations, it was ascertain that integrated control strategy is the best approach to fight against moral corruption transmission. Lastly, some key parameters that show significance in the moral corruption elimination from the society are also exploited.
    URI
    https://doi.org/10.1155/2021/6662185
    https://downloads.hindawi.com/journals/ddns/2021/6662185.pdf
    http://ir-library.mmust.ac.ke:8080/xmlui/handle/123456789/2046
    Collections
    • Gold Collection [989]

    MMUST Library copyright © 2011-2022  MMUST Open Access Policy
    Contact Us | Send Feedback
     

     

    Browse

    All of Institutional RepositoryCommunities & CollectionsBy Issue DateAuthorsTitlesSubjectsThis CollectionBy Issue DateAuthorsTitlesSubjects

    My Account

    LoginRegister

    MMUST Library copyright © 2011-2022  MMUST Open Access Policy
    Contact Us | Send Feedback