On approximate solutions for a fractional prey–predator model involving the Atangana–Baleanu derivative

摘要: Mathematical modeling has always been one of the most potent tools in predicting behavior dynamic systems biology. In this regard, we aim to study a three-species prey–predator model context fractional operator. The includes two competing species with logistic growing. It is considered that competitors being predated by third group Holling type II functional response. Moreover, another competitor commensal relationship category acting as its host. model, Atangana–Baleanu derivative used describe rate evolution functions model. Using creative numerical trick, an iterative method for determining solution developed. This provides implicit form approximations can be solved standard methods solving nonlinear such Newton’s method. technique, approximate answers system are provided, assuming several categories possible choices parameters. continuation simulations, sensitivity analysis solutions some parameters examined. Some other theoretical features related expressing necessary conditions on stability equilibrium points well existence and uniqueness solutions, also examined article. found utilizing concept order flexibility justifying different situations increased. use operators models computational biology recommended.