Abstract:
A new class of ratio-dependent stochastic three-group Lotka-Volterra competition cooperation model with feedback control and time delays is investigated in this paper. Firstly, we prove that system has a unique global positive solution. Further, the stochastic ultimate boundedness of the solution for system is investigated by constructing appropriate Lyapunov function. Finally, sufficient conditions for populations extinction are obtained by using Itô formula and differential inequality scaling.