The influence of an infectious disease on a prey-predator model equipped with a fractional-order derivative

Abstract In this research, we discuss the influence of an infectious disease in evolution ecological species. A computational predator-prey model fractional order is considered. Also, assume that there a non-fatal developed prey population. Indeed, it considered predators have cooperative hunting. This situation occurs when pair or group animals coordinate their activities as part hunting behavior to improve chances making kill and feeding. model, then shift role standard derivatives fractional-order take advantage valuable benefits class derivatives. Moreover, stability equilibrium points studied. The infection measured by transmission rate on interaction determined. Many scenarios are obtained, which implies richness suggested importance study. graphical representation mathematical results provided through precise numerical scheme. technique enables us approximate other related models including fractional-derivative operators with high accuracy efficiency.