Stability Analysis of Fractional SIR Model Related to Delay in State and Control Variables

Abstract

The study of a nonlinear mathematical fractional SIR (Susceptible - Infected - Recovered) epidemiological model related to the delay in state and control variables in terms of time is the focus of this paper. The existence of a bounded solution for the fractional SIR epidemic model has been demonstrated, and it is unique. A new set of infection-free equilibrium points has been discovered, and their local stability has been investigated. In addition, using the next-generation matrix method, the basic reproductive number Ro was calculated

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.…”

Stability Analysis and Numerical Simulation of Fractional Cholera Model

“…Mathematical modeling of the physical systems of a humanly natural phenomenon is essential for engineering and health practitioners, with direct applications in health science and other fields. The use of fractional calculus theory in the mathematical modeling of biological systems has gotten a lot of attention in recent decades since it carries more memory information and provides a learning mechanism for the spread of disease in the population compared to the ordinary differential equation, which is incapable of this purpose [7][8][9][10][11][12]. Fractional differential equations and their applications have been studied and used extensively in chemistry, physics, biology, hydrology, medicine, engineering, and biochemistry [13][14][15][16][17][18].…”