Stability Analysis and Numerical Simulation of Fractional Cholera Model

Abstract

The Vibrio cholera bacterium, which belongs to the Vibrionaceae family, is the source of the cholera virus. A bacterium known as Vibrio cholerae is the cause of the human disease cholera. This study developed a fractional epidemic model to describe the transmission of cholera. The model consists of four elements: susceptible people, infected people, recovered people, and a setting where the germs may flourish. The endemic and disease-free equilibrium points were calculated. The next-generation matrix was used in order to calculate the reproduction number. It has been proven that a disease-free equilibrium is capable of being locally asymptotically stable. To make sense of them and to compare them to the qualitative answers, numerical simulations of the fractional equations of the epidemic model were performed. According to the findings, the system's susceptible population decreases when more populations are restored. This study suggests that for outbreak and preventive initiatives, health professionals should make good use of the media

Optimal Control Approach To Non-Linear Robust Control System With Two Uncertainties And Matching Condition

“…There are some application on control theory, one can see [3][4][5][6][7][8], and particularly they studied the robust control in [9]. Recently, attention has focused on optimizing the attitude of systems, particularly issues related to expanding the range of missiles, increasing the profit value of a specific project, reducing errors in estimating the position of something, reducing the energy or cost required to accomplish some final cases, or reducing the wide variety of formulations.The search for a control element that achieves the desired goal while minimizing the criterion of a specific system constitutes the basic problem of the optimization theory.…”