2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/84334We study the steady state properties of a phenomenological two-state predator model in presence of correlated Gaussian white noise. Based on the corresponding Fokker-Planck equation for probability distribution function the steady state solution of the probability distribution function and its extrema have been investigated. We show for a typical value of noise correlation there is a giant loss of bistability which in turn prevents the prey population from going into extinction.RevTex, 10 pages, 4 figuresBiological PhysicsStatistical MechanicsQuantitative Biologytext