Convergence of the Euler Scheme to a Stochastic Competitive Age-structured Population System

Author

Mi, Ling ; Zhang, Qimin

Author_Institution

Fac. of Inf. & Comput. Sci., North Univ. of Nation, YinChuan, China

Volume

1

fYear

2011

fDate

28-29 March 2011

Firstpage

83

Lastpage

86

Abstract

In this paper, we investigate convergence of the Euler scheme to a stochastic competitive age-structured population system in Hilbert space, which is influenced by random fluctuations in the environment and interactions between species. By using Burkholder-Davis-Gundy´s inequality, Itô´s formula and some special inequalities, numerical solutions based on the Euler scheme will converge to the true solution of a broad class of stochastic competitive age-structured population system.

Keywords

Hilbert spaces; convergence; predator-prey systems; stochastic processes; Burkholder-Davis-Gundy´s inequality; Euler scheme; Hilbert space; convergence; random fluctuations; stochastic competitive age-structured population system; Approximation methods; Automation; Convergence; Hilbert space; Numerical stability; Stability analysis; Age-structured; Discrete time approximation; Euler approximation; Number solutions;

fLanguage

English

Publisher

ieee

Conference_Titel

Intelligent Computation Technology and Automation (ICICTA), 2011 International Conference on

Conference_Location

Shenzhen, Guangdong

Print_ISBN

978-1-61284-289-9

Type

conf

DOI

10.1109/ICICTA.2011.28

Filename

5750562