Deterministic and Stochastic Prey–Predator Model for Three Predators and a Single Prey

In this paper, a deterministic prey–predator model is proposed and analyzed. The interaction between three predators single prey was investigated. impact of harvesting on the studied, we concluded that dynamics population can be controlled by harvesting. Some sufficient conditions were obtained to ensure local global stability equilibrium points. transcritical bifurcation investigated using Sotomayor’s theorem. We performed stochastic extension study fluctuation environmental factors. existence unique positive solution for exponential–mean–squared resulting differential equation examined, it found dependent effort. Theoretical results are illustrated numerical simulations.