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    Article

    Modeling, analyzing and simulating the Measles transmission dynamics through efficient computational optimal control technique

    Measles is a global threat due to its high contagion and rapid spread, especially in low-vaccination areas. Despite advancements in vaccination programs, Measles outbreaks still occur. Cross-border transmissio...

    W. Ahmad, A. I. K. Butt, M. Rafiq, Z. Asif… in The European Physical Journal Plus (2024)

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    Article

    Analytical and numerical explorations of optimal control techniques for the bi-modal dynamics of Covid-19

    The emergence of coronavirus disease (Covid-19) triggered a global pandemic with profound health, social, and economic impacts. Despite extensive governmental efforts, the virus remains a persistent worldwide ...

    W. Ahmad, M. Rafiq, A. I. K. Butt, N. Ahmad, T. Ismaeel, S. Malik… in Nonlinear Dynamics (2024)

  3. Article

    A new fuzzy fractional order model of transmission of Covid-19 with quarantine class

    This paper is devoted to a study of the fuzzy fractional mathematical model reviewing the transmission dynamics of the infectious disease Covid-19. The proposed dynamical model consists of susceptible, exposed...

    Asma Hanif, A. I. K. Butt, Shabir Ahmad, Rahim Ud Din… in The European Physical Journal Plus (2021)

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    Optimal control of a non-isothermal tube drawing process

    We consider an optimal control problem for a non-isothermal tube drawing process. The goal is to control the circular cross-sectional area of the tube using the drawing speed as the control variable. To achiev...

    A. I. K. Butt, R. Pinnau in Journal of Engineering Mathematics (2012)