Exponential Stability for a Stochastic Competitive Population System with Age-Structure

Qing Hui Du; Qi Min Zhang

doi:10.4028/www.scientific.net/AMM.48-49.502

Paper Titles

Effect of Tempering Temperature on the Compressive Deformation Behaviour of 40Cr after Quenching and Tempering
p.483

E-Learning in Enterprise Community to Improve Knowledge Innovation
p.487

Electric Arc Furnace Based on Fuzzy Neural Network Control System and MATLAB Simulation
p.491

Embedded System Based Television Data Collection and Return Technology
p.496

Exponential Stability for a Stochastic Competitive Population System with Age-Structure
p.502

Fast Nondestructive Measurement and Discrimination of Tablet Based on Vis/NIR Spectroscopy and Chemometrics
p.506

Fault Detection of Excavator’s Hydraulic System Using Dynamic General Regression Neural Network
p.511

Fault Diagnosis of Hydraulic Syetem Based on Neural Network
p.515

Fault Diagnosis with Fuzzy Expert System
p.519

HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 48-49Exponential Stability for a Stochastic Competitive...

Exponential Stability for a Stochastic Competitive Population System with Age-Structure

Abstract:

The aim of this paper is to introduce a class of stochastic competitive system with age-structure. By using klmogorou's inequality, Bark holder -Davis -Gundy's lemma, Ito’s formula, some special inequalities and some criteria are obtained for the exponential stability of stochastic competitive system.

You might also be interested in these eBooks

Measuring Technology and Mechatronics Automation

View Preview

Info:

Periodical:

Applied Mechanics and Materials (Volumes 48-49)

Pages:

502-505

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.48-49.502

Citation:

Cite this paper

Online since:

February 2011

Authors:

Qing Hui Du, Qi Min Zhang

Keywords:

Ito’s Formula, Stability, Stochastic Competitive System

Export:

RIS, BibTeX

Price:

Permissions CCC:

Request Permissions

Permissions PLS:

Request Permissions

Сopyright:

Citation:

References

[1] J.M. Cushing , The dynamics of hierarchical age-structured populations , Journal of Mathematical Biology 32 (1994) 705-729.

DOI: 10.1007/bf00163023

Google Scholar

[2] S.M. Henson J.M. Cushing, in: Hierarchical models of intra-specific competition, scramble versus contest, [J]. Journal of Mathematical Biology 34 (1996) 755-772.

DOI: 10.1007/bf00161518

Google Scholar

[3] J.M. Cushing, in: An ntroduction to Structured Population Dynamics, [M]. SIAM, Philadelphia, PA , 1998.

Google Scholar

[4] G.F. Webb, in: Theory of Nonlinear Age-dependent Population Dynamics , [M]. Marcell Dekker , New York , 1985.

Google Scholar

[5] K. Renee Fister and Suzanne Lenhart, in: Optimal control of a competitive system with age-structure, [J]. 291 (2004) 526-537.

DOI: 10.1016/j.jmaa.2003.11.031

Google Scholar

[6] Zhang Qi-Min, Liu Wen-An and Nie Zan-Kan, in: Existence , uniqueness and exponential stability or stochastic age-dependent population , [J]. 154 (2004) 183-201.

DOI: 10.1016/s0096-3003(03)00702-1

Google Scholar