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    Öğe
    Analysis and dynamical transmission of tuberculosis model with treatment effect by using fractional operator
    (Taylor & Francis Inc, 2024) Farman, Muhammad; Mehmood Malik, Shahid; Akguel, Ali; Ghaffari, Abdul Sattar; Salamat, Nadeem
    Each year, millions of people die from the airborne infectious illness tuberculosis (TB). Several drug-susceptible (DS) and drug-resistant (DR) forms of the causative agent, Mycobacterium tuberculosis (MTB), are currently common in the majority of affluent and developing nations, particularly in Bangladesh, and completely drug-resistant strains are beginning to arise. The main purpose of this research is to develop and examine a non-integer-order mathematical model for the dynamics of tuberculosis transmission using the fractal fractional operator. By demonstrating characteristics such as the boundedness of solutions, positivity, and reliance of the solution on the original data, the biological well-posedness of the mathematical model formulation was investigated for TB cases from 2002 to 2017 in KPK Pakistan. Ulam-Hyres stability is also used to assess both local and global aspects of TB bacterial infection. Sensitivity analysis of the TB model with therapy was also examined. The advanced numerical technique is used to find the solution of the fractional-order system to check the impact of fractional parameters. Simulation highlights that all classes have converging qualities and retain established positions with time, which shows the actual behavior of bacterial infection with TB.
  • [ X ]
    Öğe
    Modeling of micropolar hybrid nanofluids flow across porous medium between permeable parallel plates with nonlinear thermal radiative in MHD
    (Taylor & Francis Inc, 2024) Yahya, Asmat Ullah; Farman, Muhammad; Abdal, Sohaib; Akgul, Ali; Salamat, Nadeem; Hussain, Sajjad
    The study pertains on the dynamics and thermal distribution of magnetohydrodynamics (MHD) micropolar hybrid nanofluids flowing between two parallel plates channel. It explores the enhancement of heat transport processes by blending the base fluid with nanoparticles at varying concentrations. A system of nonlinear partial differential equations is developed as governing equations for momenta and heat energy. To facilitate numerical solutions for fluid temperature and velocities, this formulation is translated into ordinary differential form using the necessary similarity transformation. By utilizing Matlab code for the Runge-Kutta method and shooting approach, we evaluate the results. It has been observed that an increase in the concentration of hybrid nanoparticles enhance the heat transmission. The salient findings of this study reveal alteration in the velocity profiles for both nanofluid (SWCNT/water) and hybrid nanofluids (SWCNT + MWCNT/water) flow. Notably, with a substantial input of magnetic field strength (M) and porosity parameters (P0), the velocity is increased near the walls but it decelerates toward the center of channel. Additionally, the temperature rises for hybrid nanofluids. Furthermore, an increase in the theta w temperature ratio parameter leads to an enhanced thermal distribution.