Global Asymptotic Stability of Stochastic Nonautonomous Lotka-Volterra Models with Infinite Delay | Zendy

Fengying Wei | Zendy; Yuhua Cai | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Global Asymptotic Stability of Stochastic Nonautonomous Lotka-Volterra Models with Infinite Delay

Author(s) -

Fengying Wei,

Yuhua Cai

Publication year - 2013

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2013/351676

Subject(s) - mathematics , uniqueness , exponential stability , stability (learning theory) , moment (physics) , lyapunov function , distribution (mathematics) , stochastic differential equation , mathematical analysis , nonlinear system , physics , classical mechanics , quantum mechanics , machine learning , computer science

A kind of general stochastic nonautonomous Lotka-Volterra models with infinite delay is investigated in this paper. By constructing several suitable Lyapunov functions, the existence and uniqueness of global positive solution and global asymptotic stability are obtained. Further, the solution asymptotically follows a normal distribution by means of linearizing stochastic differential equation. Moment estimations in time average are derived to improve the approximation distribution. Finally, numerical simulations are given to illustrate our conclusions

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research