Abstract
In this study, using the Holling type II response function and prey refuge, we bring fractional order into an eco-epidemiological paradigm with diseased prey in which the predator consumes a vast amount of healthy prey in an excessively disproportionately large amount. We show that there are solutions to the fractional order eco-epidemiological paradigm and that these solutions are distinct, non-negativity, and limited. Additionally, we generated a number of equilibrium points and investigated the local and global stability of the interior equilibrium point. We explore the roles that fractional order and the prey shelter play in maintaining the stability of the proposed system’s equilibrium point. Numerous examples are used to illustrate the results, and numerical simulations are used to support our theoretical conclusions.
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