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    Analysis and Modeling of HIV Dynamical Transmission
    (Natural Sciences Publishing, 2022) Farman, Muhammad; Zafar, Nayab; Akgul, Ali; Kouser, Farhina; Tabassum, Muhammad Farhan; Ahmad, Aqeel; Ahmad, Muhammad O.
    In this article, HIV fractional order model is analyzed to reduce its effect on community and for control strategy. Verify the unique solutions of the proposed system as well as proved the stability analysis. Fractional order system is solved by using the Caputo fractional derivative operator b 2 (0,1] to check the effect of fractional parameter. Simulations are made to check the actual behavior of the HIV disease in the society. Such kind of analysis help to understand the outbreak of HIV and for future control strategy. © 2022 NSP
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    Öğe
    Modeling and numerical investigation of fractional-order bovine babesiosis disease
    (Wiley, 2021) Ahmad, Aqeel; Farman, Muhammad; Naik, Parvaiz Ahmad; Zafar, Nayab; Akgul, Ali; Saleem, Muhammad Umer
    In this paper, analysis and modeling of bovine babesiosis disease are designed with fractional calculus. The solution for a bovine babesiosis disease and tick populations fractional order system is determined using the Caputo and Atangana-Baleanu-Caputo (ABC) fractional derivatives. Applying the homotopy analysis method and the Laplace transform with polynomial homotopy, the analytical solution of the bovine babesiosis disease has obtained. Furthermore, using an iterative scheme by the Laplace transform, and the Atangana-Baleanu fractional integral, special solutions of the model are obtained. Uniqueness and existence of the solutions by the fixed-point theorem and Picard-Lindel of approach are studied. Numerical simulation has been established for both Caputo and ABC fractional derivative of the proposed system is carried out. The numeric replications for diverse consequences are carried out, and data attained are in good agreement with theoretical outcomes, displaying a vital perception about the use of the set of fractional coupled differential equations to model babesiosis disease and tick populations.