Related Experiment Video
Updated: Jul 10, 2026
07:44
Fabrication of Pulsatile Polymeric Microparticles Encapsulating Rabies Antigen
Published on: May 12, 2023
An SIRVS epidemic model with pulse vaccination strategy
1College of Mathematics and System Sciences, Xinjiang University, Urumqi, 830046, People's Republic of China. t.l.zhang@126.com
Journal of Theoretical Biology
|November 9, 2007
Summary
This study analyzes an SIRVS epidemic model with pulse vaccination strategy (PVS). Results show that increasing vaccination rates can lead to disease extinction by reaching a critical threshold.
Area of Science:
- Epidemiology
- Mathematical Biology
- Public Health
Background:
- Understanding disease dynamics is crucial for effective control.
- Pulse vaccination strategies offer a periodic approach to disease prevention.
- Mathematical models are essential tools for analyzing epidemic spread.
Purpose of the Study:
- To analyze an SIRVS epidemic model incorporating a pulse vaccination strategy (PVS).
- To determine the basic reproductive number and its impact on disease persistence.
- To investigate the conditions for disease extinction through vaccination.
Main Methods:
- Mathematical modeling of an SIRVS epidemic system.
- Analysis of the basic reproductive number (R0).
- Investigation of the global attractivity of the disease-free periodic solution (DFPS).
Main Results:
- The basic reproductive number dictates disease eradication or endemicity.
- A disease-free periodic solution is globally attractive when R0 < 1.
- The disease becomes endemic when the basic reproductive number is greater than 1.
- Disease extinction is achievable at a critical vaccination rate.
Conclusions:
- Pulse vaccination strategy can effectively control epidemic diseases.
- A specific vaccination rate threshold can lead to the complete extinction of the disease.
- The SIRVS model with PVS provides insights into optimizing vaccination campaigns.
Related Concept Videos
01:24Smallpox
Smallpox is a severe contagious disease caused by the Variola major virus, a double-stranded DNA member of the Poxviridae family.Variola major transmission occurs primarily via inhalation of virus-laden droplets or direct contact with infectious scabs. The incubation period averages approximately seven days, although it may range from 7 to 17 days depending on the inoculum and host factors.Clinically, the prodromal phase is marked by an abrupt onset of high fever, malaise, headache, and myalgia.
01:18Steps in Outbreak Investigation
In the ever-evolving field of public health, statistical analysis serves as a cornerstone for understanding and managing disease outbreaks. By leveraging various statistical tools, health professionals can predict potential outbreaks, analyze ongoing situations, and devise effective responses to mitigate impact. For that to happen, there are a few possible stages of the analysis:
01:29Respiratory Syncytial Virus Disease
Human respiratory syncytial virus (RSV) is a widespread pathogen that primarily targets infants and young children but also poses a serious health risk to elderly and immunocompromised individuals. Belonging to the Pneumoviridae family, RSV is a negative-sense, single-stranded RNA virus within the Pneumovirus genus. Its global health burden is significant, with millions of cases annually resulting in hospitalizations and mortality, particularly in resource-limited settings. Although most...
01:51Vaccinations
Overview
01:28Infectious Diseases and Their Occurrence
Infectious diseases appear in populations through various transmission patterns, influenced by pathogen characteristics, population immunity, environmental conditions, and social behavior. Understanding these patterns is essential for effective public health surveillance and intervention. These categories—sporadic, outbreak, epidemic, pandemic, and endemic—help frame the nature and scope of disease events.Sporadic diseases occur irregularly and infrequently, without a predictable temporal or...
01:26Principles of Disease Surveillance
Disease surveillance is the systematic collection, analysis, and interpretation of health data essential to the planning, implementation, and evaluation of public health practice. This process integrates data dissemination to entities responsible for preventing and controlling disease, injury, and disability. Surveillance systems provide crucial information for action, helping public health authorities make informed decisions to manage and prevent outbreaks, ensure public safety, optimize...