A mathematical study of a crop-pest model with the Caputo fractional-order derivative
Abstract
The work is deals with the basic results of a fractional order predator-prey system with harvesting. More precisely, crop-pest interactions were studied. Mathematical results like existence, uniqueness and positivity of the solutions are derived. It is shown that the fractional order system undergoes a possible Hopf-bifuracation at the interior equilibrium point. Local and Global stability of the system have been found under some parametric condition. Further an efficient numerical technique (Adams-Bashforth-Moulton method) have been illustrated for better understanding of the dynamics of the systems. In our investigation, the fractional operator is understood in the Caputo sense.
Published
2022-11-20
Section
Articles