Electronic Journal of Differential Equations,
Vol. 2013 (2013), No. 99, pp. 1-13.

Title: Persistence and extinction of a non-autonomous logistic equation
       with random perturbation
        
Authors: Meng Liu (Huaiyin Normal Univ., Huaian, China)
         Ke Wang (Harbin Inst. of Technology, Weihai, China)

Abstract:
 Persistence and extinction of a randomized non-autonomous logistic
 equation is studied. Sufficient conditions for extinction,
 non-persistence in the mean, weak persistence and stochastic permanence
 are established. The critical number between weak persistence and
 extinction is obtained.

Submitted September 4, 2012. Published April 18, 2013.
Math Subject Classifications: 34F05, 92D25, 60H10, 60H20.
Key Words: Logistic model; random perturbation; persistence; extinction.