Abstract
In the present contribution, an iterative process is used in solving prey and predator interactions through a nonsingular fractional model. The structure used in this model is the general Holling type interactions. The theoretical properties of the system, including the local stability conditions of equilibrium points along with the proof of existence and uniqueness of solutions for the model is also investigated. To highlight the effect of the parameters in the model, various simulations have been performed to better clarify the role of some parameters in the problem. The fractional operator used in the model of this paper can be considered a powerful tool in better describing the phenomenon. Our results confirm that the considered ecosystem can approximately simulate the expected conditions in the real problem. These results encourage us to use fractional structures with non-single kernels in modeling similar computational problems in the transmission of epidemic diseases.