5. ON POSITIVE SOLUTIONS OF THE LOGISTIC EQUATION WITH RANDOM PERTURBATIONS


Author:  M. ILOLOV, J.SH. RAHMATOV, AND S.M. LASHKARBEKOV                                       DOWNLOAD                                                                                                                                                                                                                                                                                       


DOI:     




How to Cite:




Ilolov, M., J. Sh. Rahmatov, and S. M. Lashkarbekov. "On Positive Solutions of the Logistic Equation with Random

Perturbations." Global and Stochastic Analysis, vol. 12, no. 5, 2025, pp. 29–37.




Abstract




The paper establishes the conditions of positivity and boundedness of solutions of the stochastic logistic equation.

It is important to emphasize that the stochastic perturbation makes the logistic equation globally stable.
 



Keywords


Key words and phrases. logistic equation, white noise, stochastic robustness, positive solution.