A note on persistence and extinction of a randomized food-limited logistic population model

This paper addresses the issue of the asymptotic behavior for a non-autonomous randomized food-limited logistic population model. Several sufficient conditions are formulated and proved for p-moment persistence and extinction of the population, as well as in sense of almost sure. Results show that food-limited assumption has an influence on the convergence rate of the solution to the equilibria for the deterministic and stochastic model. Some previously known results are improved. Numerical simulations are provided to support the results.