A Numerical Scheme for a Predator-Prey Fractional Model with Disease in the Prey Species
Keywords:
Caputo-Fabrizio derivative, Three-step Adams-Bashforth scheme, Fractional derivative model, Numerical simulations, Existence and UniquenessAbstract
In this paper, an existing predator–prey model with disease in the prey population is extended using the Caputo–Fabrizio fractional derivative. The fractional formulation incorporates memory effects through a non-singular kernel, allowing the model to capture delayed responses in eco-epidemiological dynamics. The well-posedness of the resulting system is established via existence and uniqueness of solutions.
A numerical scheme based on a three-step Adams–Bashforth method is employed to obtain approximate
solutions.
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