Exploring the dynamics of Gumboro-Salmonella co-infection with fractal fractional analysis

Abstract

The present work is related to investigate a dynamical problem of co-infection disease model due to Gumboro-Salmonella. For the suggested investigation, we have considered the Riemann–Liouville fractals fractional derivative introduced by Cuputo Fabrizio abbreviated by (R-L CFFFD). The concerned operators have been found more applicable and useful in studying dynamical problems of epidemiology as well as other scientific disciplines. We have deduced some results devoted to the existence of solution for such a nonlinear models and also attempted on establishing some conditions for Ulam–Hyers (UH) type stability. On using Adam Bashforth numerical tool, a sophisticated numerical scheme was established for simulating our obtained results graphically. Different graphical illustrations using various fractals fractional orders have been presented to understand the transmission dynamics of the mentioned disease. Here, we remark that Matlab 2023 has used to simulate the numerical results graphically.

Keywords

• Epidemiology
• Riemann–Liouville derivative
• Fractals fractional operator
• Existence theory
• Numerical analysis