Complex Dynamic Behaviour of Food Web Model with Generalized Fractional Operator

We apply a new generalized Caputo operator to investigate the dynamical behaviour of non-integer food web model (FWM). This has three population species and is nonlinear. Three types are considered in this population: prey species, intermediate predators, top predators also divided into mature immature predators. calculated uniqueness existence solutions applying fixed-point hypothesis. Our study examines possibility obtaining phase portraits with demonstrates for several values fractional order. A predictor–corrector (P-C) approach utilized numerically solving model. In case nonlinear equations system, effectiveness used scheme highly evident easy implement. addition, stability analysis was conducted numerical scheme.