Title :
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
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;
Conference_Titel :
Intelligent Computation Technology and Automation (ICICTA), 2011 International Conference on
Conference_Location :
Shenzhen, Guangdong
Print_ISBN :
978-1-61284-289-9
DOI :
10.1109/ICICTA.2011.28
