Existence, uniqueness, and global stability of positive solutions to the food-limited population model with random perturbation

This paper discusses a randomized food-limited population model Ṅ(t) = (r + αḂ(t)). N(t)[(K − N(t))/(K + CN(t))] with initial value N(0) = N0, and N0 is a random variable satisfying 0 < N0 < K. The existence, uniqueness, and global stability of positive solutions of the equation are studied.