Trent University Graduate Thesis Collection

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    Modelling Cholera Transmission with Delayed Bacterial Shedding and Disinfection Control

    Year: 2025, 2025
    Member of: Trent University Graduate Thesis Collection
    Name(s): Creator (cre): Urmee, Farjana Zaman, Thesis advisor (ths): Abdella, Kenzu, Thesis advisor (ths): Wang, Xiaoying, Degree committee member (dgc): Parker, James, Degree committee member (dgc): Shu, Hongying, Degree granting institution (dgg): Trent University
    Abstract: <p>This study focuses on the world dynamics of a cholera model that includes delayed bacterial shedding and water disinfection. From the method of the next generation matrix, a basic reproduction number is found that sets a threshold of disease persistence. It is shown that the disease disappears if $R_0&lt;1$, which means that the disease-free equilibrium is globally asymptotically… more