Dynamics Analysis of a Stochastic Delay Gilpin-Ayala Model with Markovian Switching

الملخص EN

This paper considers a stochastic delay Gilpin-Ayala model with Markovian switching.

Using Lyapunov method, we show existence and uniqueness of global positive solution.

Then, by using Chebyshev’s inequality, M-matrix method, and BDG’s inequality, stochastic permanence and asymptotic estimations of solutions are studied.

Finally, numerical simulations illustrate the theoretical results.

Our results generalize and improve the existing results.