Title :
On differentiability and stability of population system with time delay
Author :
Yu, Xin ; Xu, Chao
Author_Institution :
Dept. of Math., Zhejiang Univ., Hangzhou, China
Abstract :
This paper is concerned with the regularity and the stability of the age-dependent population system with instantaneous time delay in the birth rate. By using semigroup approach, the eventual differentiability of the solution operator semigroup of this population system is obtained and is applied to the stability analysis.
Keywords :
delays; demography; differential equations; social sciences; stability; age dependent population system; birth rate; differentiability; operator semigroup method; stability analysis; time delay; Chaos; Delay effects; Delay systems; Eigenvalues and eigenfunctions; Equations; Mathematics; Pregnancy; Stability analysis; Strips;
Conference_Titel :
Intelligent Control and Automation, 2004. WCICA 2004. Fifth World Congress on
Print_ISBN :
0-7803-8273-0
DOI :
10.1109/WCICA.2004.1340496