Global properties of a delayed SIR epidemic model with multiple parallel infectious stages
1Academy of Fundamental and Interdisciplinary Sciences, Harbin Institute of Technology, Harbin, 150080, China. xywangxia@163.com
Abstract:
In this paper, we study the global properties of an SIR epidemic model with distributed delays, where there are several parallel infective stages, and some of the infected cells are detected and treated, which others remain undetected and untreated. The model is analyzed by determining a basic reproduction number R0, and by using Lyapunov functionals, we prove that the infection-free equilibrium E0 of system (3) is globally asymptotically attractive when R0 ≤ 1, and that the unique infected equilibrium E* of system (3) exists and it is globally asymptotically attractive when R0 > 1.
More Related Videos
Related Concept Videos
Stages of Infection
Infectious Diseases and Their Occurrence
Steps in Outbreak Investigation
Infection
The chain begins with pathogens: bacteria, viruses, fungi, prions, or parasites such as protozoa helminths. These can be present on the skin as transient or resident flora, or they can be acquired from the environment. Identifying and treating the type of infection and...
Population Growth
Pharmacodynamic Models: Link Model and Systems Pharmacodynamic Model


