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