Dynamical Analysis of Nutrient-Phytoplankton-Zooplankton Model with Viral Disease in Phytoplankton Species under Atangana-Baleanu-Caputo Derivative

A mathematical model of the nutrient-phytoplankton-zooplankton associated with viral infection in phytoplankton under Atangana-Baleanu derivative Caputo sense is investigated this study. We prove theoretical results for existence and uniqueness solutions by using Banach’s Sadovskii’s fixed point theorems. The notion various Ulam’s stability used to guarantee context analysis. Furthermore, equilibrium points basic reproduction numbers proposed are provided. Adams type predictor-corrector algorithm has been applied confirmation establish approximate solutions. variety numerical plots corresponding fractional orders between zero one presented describe dynamical behavior consideration.