Fractional mathematical model of Listeria infection caused by pre-cooked package food

Abstract

This article introduces a novel mathematical approach for modeling and analyzing Listeria infection dynamics by considering a system of fractional-order differential equations to understand the complexities. The homotopy perturbation general transform method (HPGTM) is applied to derive approximate solutions for the fractional-order Listeria infection model to obtain valuable insights. The obtained numerical and graphical solutions are rigorously analyzed to explore the effect of fractional orders on the dynamics of Listeria infections. Furthermore, we explore the existence, uniqueness, and stability properties of the solutions, unveiling the critical parameters influencing infection spread and persistence.

Keywords

• Listeria infection model
• Caputo derivative
• Homotopy perturbation general transform method
• Qualitative and Stability analysis
• Numerical simulations