Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Concept Videos

Steps in Outbreak Investigation01:18

Steps in Outbreak Investigation

166
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:
166
Vaccinations01:51

Vaccinations

45.1K
Overview
45.1K
Immune Response Against Viral Pathogens01:29

Immune Response Against Viral Pathogens

874
The immune system's response to viral infections is a complex and coordinated process involving natural killer (NK) cells, T cell-mediated responses, and antibody-mediated responses.
NK Cells
NK cells are a crucial part of our innate immune system, acting as the first line of defense against viral infections. These cells can recognize and kill infected cells without prior exposure to the virus, effectively slowing down the spread of infection. Additionally, NK cells produce proinflammatory...
874
Principles of Disease Surveillance01:26

Principles of Disease Surveillance

159
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...
159
Causality in Epidemiology01:21

Causality in Epidemiology

611
Causality or causation is a fundamental concept in epidemiology, vital for understanding the relationships between various factors and health outcomes. Despite its importance, there's no single, universally accepted definition of causality within the discipline. Drawing from a systematic review, causality in epidemiology encompasses several definitions, including production, necessary and sufficient, sufficient-component, counterfactual, and probabilistic models. Each has its strengths and...
611
Stages of Infection01:26

Stages of Infection

58.1K
Stages of infection describe what happens to a susceptible host once a pathogen invades the human body. The stages of infection are incubation, prodromal, illness, stage of decline, and convalescence. The incubation stage is the period from exposure to a pathogen until symptoms start. The infected person is unaware of impending illness as the pathogens grow and multiply within the body. The duration may vary depending on the type of infection. The incubation period of measles averages ten to...
58.1K

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

Bridging the gap: enhancing patient and public involvement in dermatology PRO research.

Journal of patient-reported outcomes·2026
Same author

Scalable control techniques for automated configuration of programmable photonic circuits.

Optics letters·2026
Same author

Sequential monitoring and control of a silicon photonic coherent beam adder and analyzer.

Scientific reports·2026
Same author

Constructing a Nanopipette-Based DNA Electromechanical Device.

Nano letters·2025
Same author

Integrated electronic controller for dynamic self-configuration of photonic circuits.

Light, science & applications·2025
Same author

Industrial by-products-derived binders for in-situ remediation of high Pb content pyrite ash: Synergistic use of ground granulated blast furnace slag and steel slag to achieve efficient Pb retention and CO<sub>2</sub> mitigation.

Environmental pollution (Barking, Essex : 1987)·2024

Related Experiment Video

Updated: Aug 16, 2025

A Mouse Model for the Transition of Streptococcus pneumoniae from Colonizer to Pathogen upon Viral Co-Infection Recapitulates Age-Exacerbated Illness
12:21

A Mouse Model for the Transition of Streptococcus pneumoniae from Colonizer to Pathogen upon Viral Co-Infection Recapitulates Age-Exacerbated Illness

Published on: September 28, 2022

2.6K

Optimal vaccination in a SIRS epidemic model.

Salvatore Federico1, Giorgio Ferrari2, Maria-Laura Torrente1

  • 1Dipartimento di Economia, Università di Genova, Via F. Vivaldi 5, 16126 Genoa, Italy.

Economic Theory
|December 27, 2022
PubMed
Summary

This study presents an optimal vaccination strategy for infectious diseases in a SIRS model, minimizing costs while reducing susceptible individuals. The optimal policy can eliminate infections long-term under specific conditions.

Keywords:
EpidemicNon-smooth verification theoremOptimal controlOptimal vaccinationSIRS modelViscosity solution

More Related Videos

Contact-Free Co-Culture Model for the Study of Innate Immune Cell Activation During Respiratory Virus Infection
07:36

Contact-Free Co-Culture Model for the Study of Innate Immune Cell Activation During Respiratory Virus Infection

Published on: February 28, 2021

3.0K
Evaluation of Host-Pathogen Responses and Vaccine Efficacy in Mice
08:52

Evaluation of Host-Pathogen Responses and Vaccine Efficacy in Mice

Published on: February 22, 2019

10.8K

Related Experiment Videos

Last Updated: Aug 16, 2025

A Mouse Model for the Transition of Streptococcus pneumoniae from Colonizer to Pathogen upon Viral Co-Infection Recapitulates Age-Exacerbated Illness
12:21

A Mouse Model for the Transition of Streptococcus pneumoniae from Colonizer to Pathogen upon Viral Co-Infection Recapitulates Age-Exacerbated Illness

Published on: September 28, 2022

2.6K
Contact-Free Co-Culture Model for the Study of Innate Immune Cell Activation During Respiratory Virus Infection
07:36

Contact-Free Co-Culture Model for the Study of Innate Immune Cell Activation During Respiratory Virus Infection

Published on: February 28, 2021

3.0K
Evaluation of Host-Pathogen Responses and Vaccine Efficacy in Mice
08:52

Evaluation of Host-Pathogen Responses and Vaccine Efficacy in Mice

Published on: February 22, 2019

10.8K

Area of Science:

  • Epidemiology
  • Mathematical Biology
  • Public Health

Background:

  • SIRS compartmental models are used to study infectious disease dynamics, where immunity is temporary.
  • Vaccination campaigns aim to reduce disease burden but incur social and economic costs.
  • Optimal control theory provides a framework for resource allocation in public health interventions.

Purpose of the Study:

  • To formulate and solve an optimal vaccination problem within a deterministic SIRS model.
  • To minimize the social and economic costs associated with infectious diseases.
  • To determine long-term vaccination policies for disease control.

Main Methods:

  • Development of a deterministic SIRS compartmental model with temporary immunity.
  • Application of optimal control theory and Hamilton-Jacobi-Bellman equations.
  • Derivation of a non-smooth verification theorem for viscosity solutions.
  • Numerical implementation with quadratic cost functions.

Main Results:

  • A theoretical framework for optimal vaccination strategies was established.
  • Conditions for the well-posedness of the closed-loop system were identified.
  • Numerical simulations demonstrated the effectiveness of the optimal policy.
  • The optimal policy can achieve zero infections in the long run under certain parameters.

Conclusions:

  • Optimal vaccination strategies can effectively control infectious diseases in SIRS models.
  • The long-term eradication of infections is feasible with optimal policies when disease parameters are low.
  • Mathematical modeling and optimal control are valuable tools for public health intervention planning.