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    Article

    Advanced mathematical modeling of hepatitis B transmission dynamics with and without diffusion effect using real data from Thailand

    This paper introduces a sophisticated reaction-diffusion mathematical model to analyze the transmission dynamics of Hepatitis B. A key aspect of this study is the computation of the basic reproduction number ...

    Rahat Zarin, Usa Wannasingha Humphries in The European Physical Journal Plus (2024)

  2. No Access

    Article

    Modeling hepatitis B infection dynamics with a novel mathematical model incorporating convex incidence rate and real data

    In this study, we present a novel mathematical model that comprehensively addresses the mechanics of hepatitis B infection propagation, caused by the hepatitis B virus, which represents a significant global he...

    Rahat Zarin, Abdur Raouf, Amir khan in The European Physical Journal Plus (2023)

  3. No Access

    Article

    A robust study of dual variants of SARS-CoV-2 using a reaction-diffusion mathematical model with real data from the USA

    This study proposes a mathematical model to analyze the transmission mechanism of SARS-CoV-2 using a reaction-diffusion framework. The importance of incorporating diffusion in mathematical models of SARS-CoV-2...

    Rahat Zarin, Usa Wannasingha Humphries in The European Physical Journal Plus (2023)

  4. Article

    Open Access

    Fractional optimal control of COVID-19 pandemic model with generalized Mittag-Leffler function

    In this paper, we consider a fractional COVID-19 epidemic model with a convex incidence rate. The Atangana–Baleanu fractional operator in the Caputo sense is taken into account. We establish the equilibrium po...

    Amir Khan, Rahat Zarin, Usa Wannasingha Humphries in Advances in Difference Equations (2021)

  5. Article

    Open Access

    Stability analysis of five-grade Leishmania epidemic model with harmonic mean-type incidence rate

    In this paper, we discuss the Anthroponotic Cutaneous Leishmania transmission. In addition, we develop a mathematical model for the Anthroponotic Cutaneous Leishmania transmission and consider its qualitative ...

    Karim Khan, Rahat Zarin, Amir Khan, Abdullahi Yusuf in Advances in Difference Equations (2021)

  6. Article

    Stability analysis of leishmania epidemic model with harmonic mean type incidence rate

    We discussed anthroponotic cutaneous leishmania transmission in this article, due to its large effect on the community in the recent years. The mathematical model is developed for anthroponotic cutaneous leish...

    Amir Khan, Rahat Zarin, Mustafa Inc, Gul Zaman in The European Physical Journal Plus (2020)