Transmission dynamics of fractional order yellow virus in red chili plants with the Caputo–Fabrizio operator

Abstract

The yellow virus in the red chili fractional order model is investigated in this scientific study. The Caputo–Fabrizio and Fractal fractional derivative operator, which incorporates an antiretroviral treatment compartment, are used to investigates this pandemic occurrence. It is essential to figure out how to develop methods to halt the spread of the yellow virus in red chili. While measures are being taken to curb the pandemic of the yellow virus, the more contagious yellow virus found in red chilies is emerging in several areas. It is essential to develop methods for preventing the spread of the yellow virus. To maintain a certain level of protection while simulating the yellow virus’s spread in red chili plants. We investigated the potential for an epidemic in red chili plants as a case study.In this study, we use fixed point theory to create existence, uniqueness, and stability conditions for the fractional order yellow virus in the red chilli model using the Caputo Fabrizio operator. For these kinds of biological models, the fractional derivative technique is quite new. By using the iterative Laplace transform approach, we have also discovered the initial approximate solutions for a suggested model that are readily available. This method combines the Laplace transform method with one of the most dependable methods, the new iterative method. Finally, we analysed parameters that represent the progression of sickness and used charts to display the numerical simulations.