Related Experiment Video
Updated: Jun 24, 2026

Studying Age-dependent Genomic Instability using the S. cerevisiae Chronological Lifespan Model
Published on: September 29, 2011
Global stability of a class of discrete age-structured SIS models with immigration
1Department of Mathematics, Xi'an Jiaotong University, Xi'an, 710049, China. zhouyc@mail.xjtu.edu.cn
Abstract:
Immigration has an important influence on the growth of population and the transmission dynamics of infectious diseases. A discrete age-structured epidemic SIS model with immigration is formulated and its dynamical behavior is studied in this paper. It is found that population growth will be determined by the reproductive number and the immigration rate. In the simple case without infected immigration, the basic reproductive number is defined, and the global stability of equilibria is investigated. In the case with infected immigration, there is no disease-free equilibrium, and there always exists an endemic equilibrium, and the global stability conditions of the unique endemic equilibrium is obtained.
Related Concept Videos
Stability of structures
Modeling with Differential Equations
Population Growth
Growth Models with Integration: Problem Solving
Exponential Equations for Modeling Growth
BIBO stability of continuous and discrete -time systems
To determine the BIBO stability, the convolution integral is utilized when a bounded continuous-time input is applied to a Linear Time-Invariant (LTI) system.