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

Causality in Epidemiology01:21

Causality in Epidemiology

2.2K
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...
2.2K
Infectious Diseases and Their Occurrence01:28

Infectious Diseases and Their Occurrence

100
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...
100
Steps in Outbreak Investigation01:18

Steps in Outbreak Investigation

780
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:
780
Modeling with Differential Equations01:25

Modeling with Differential Equations

336
Population dynamics can be described mathematically by considering the population size P(t) as a function of time. The rate of change of the population is then represented by the derivative of P(t). A simple assumption is that the rate of growth is proportional to the size of the population itself. This leads to an exponential growth model, where the population increases rapidly without bound. While this is a useful first approximation, it does not reflect realistic long-term...
336
Population Growth00:57

Population Growth

23.2K
Population size is dynamic, increasing with birth rates and immigration, and decreasing with death rates and emigration. In ideal conditions with unlimited resources, populations can increase exponentially, which plots as a J-shaped growth rate curve of population size against time. This type of curve is characteristic of newly-introduced invasive species, or populations that have suffered catastrophic declines and are rebounding.
23.2K
Investigation of Disease Outbreaks01:23

Investigation of Disease Outbreaks

79
Multistate foodborne outbreaks pose significant public health risks and require meticulous investigation to identify sources and implement control measures. The Centers for Disease Control and Prevention (CDC) utilizes a dynamic seven-step process for these investigations, integrating data from laboratories, interviews, and environmental assessments to protect public health.Outbreak Detection: The detection of multistate outbreaks typically begins with PulseNet, the CDC's national laboratory...
79

You might also read

Related Articles

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

Sort by
Same author

Narrowband-wideband boundary-guided optimal DSCM partitioning for all-order PMD compensation in high symbol rate systems.

Optics express·2026
Same author

Impact of red blood cell transfusion and transfusion strategies on clinical outcomes in extremely low gestational age neonates.

Frontiers in pediatrics·2026
Same author

Efficacy comparison of moderate to severe astigmatism: implantable collamer lens combined with paired opposite clear corneal incisions versus toric implantable collamer lens.

BMC ophthalmology·2026
Same author

A continuous DNA repairing system for alleviating intervertebral disc degeneration.

Journal of nanobiotechnology·2026
Same author

Application of neuromodulation techniques in irritable bowel syndrome.

Frontiers in neuroscience·2026
Same author

Clinical characteristics and factors associated with different BASP subtypes of androgenetic alopecia.

Frontiers in medicine·2026
Same journal

The hydra and hormetic effects in a single discrete-time overcompensation model.

Mathematical biosciences·2026
Same journal

Seasonal impacts on brucellosis transmission mediated by live sheep supply-demand dynamics.

Mathematical biosciences·2026
Same journal

Optimal controls and cost-effectiveness analysis on the transmission dynamics of early blight disease in tomatoes.

Mathematical biosciences·2026
Same journal

Temperature-dependent dynamics and allee effect thresholds mediate fourfold cusp stability in biological control of invasive vectors.

Mathematical biosciences·2026
Same journal

Dynamics of a stochastic tumor-immune interaction system with an Ornstein-Uhlenbeck process.

Mathematical biosciences·2026
Same journal

Post-peak dynamics and epidemic overshoot in SIR-type frameworks.

Mathematical biosciences·2026
See all related articles

Related Experiment Video

Updated: May 6, 2026

Inherent Dynamics Visualizer, an Interactive Application for Evaluating and Visualizing Outputs from a Gene Regulatory Network Inference Pipeline
10:44

Inherent Dynamics Visualizer, an Interactive Application for Evaluating and Visualizing Outputs from a Gene Regulatory Network Inference Pipeline

Published on: December 7, 2021

1.7K

Epidemic dynamics on semi-directed complex networks.

Xiaoguang Zhang1, Gui-Quan Sun, Yu-Xiao Zhu

  • 1School of Mechatronic Engineering, North University of China, Shanxi, Taiyuan 030051, People's Republic of China; Department of Mathematics, North University of China, Shanxi, Taiyuan 030051, People's Republic of China.

Mathematical Biosciences
|October 22, 2013
PubMed
Summary
This summary is machine-generated.

This study introduces an SIS model for epidemic spreading on semi-directed networks, analyzing how directed and undirected contacts impact disease transmission. The findings reveal critical thresholds for disease outbreaks based on the basic reproduction number (R0).

Keywords:
Basic reproduction numberEpidemic modelsGlobally asymptotically stableSemi-directed networks

More Related Videos

Following the Dynamics of Structural Variants in Experimentally Evolved Populations
04:52

Following the Dynamics of Structural Variants in Experimentally Evolved Populations

Published on: February 3, 2023

1.2K
Divergence of Root Microbiota in Different Habitats based on Weighted Correlation Networks
09:49

Divergence of Root Microbiota in Different Habitats based on Weighted Correlation Networks

Published on: September 25, 2021

3.9K

Related Experiment Videos

Last Updated: May 6, 2026

Inherent Dynamics Visualizer, an Interactive Application for Evaluating and Visualizing Outputs from a Gene Regulatory Network Inference Pipeline
10:44

Inherent Dynamics Visualizer, an Interactive Application for Evaluating and Visualizing Outputs from a Gene Regulatory Network Inference Pipeline

Published on: December 7, 2021

1.7K
Following the Dynamics of Structural Variants in Experimentally Evolved Populations
04:52

Following the Dynamics of Structural Variants in Experimentally Evolved Populations

Published on: February 3, 2023

1.2K
Divergence of Root Microbiota in Different Habitats based on Weighted Correlation Networks
09:49

Divergence of Root Microbiota in Different Habitats based on Weighted Correlation Networks

Published on: September 25, 2021

3.9K

Area of Science:

  • Epidemiology
  • Network Science
  • Mathematical Biology

Background:

  • Understanding disease dynamics on complex networks is crucial.
  • Previous models often simplify network structures, neglecting nuanced contact types.

Purpose of the Study:

  • To establish and analyze an SIS model for epidemic spreading on semi-directed networks.
  • To compare the impact of undirected and directed contacts on disease spread.
  • To derive and verify the basic reproduction number (R0) for such networks.

Main Methods:

  • Development of an SIS (Susceptible-Infected-Susceptible) epidemic model.
  • Analysis of the model on uncorrelated semi-directed networks.
  • Analytical derivation of the basic reproduction number (R0).
  • Global asymptotic stability analysis of disease-free and endemic equilibria.

Main Results:

  • The derived R0 analytically captures outbreak thresholds for both undirected and directed networks as special cases.
  • If R0 < 1, the disease-free equilibrium is globally asymptotically stable.
  • If R0 > 1, the disease-free equilibrium is unstable, and a unique, globally asymptotically stable endemic equilibrium exists.
  • Numerical simulations confirm the analytical results.

Conclusions:

  • The SIS model on semi-directed networks provides a more comprehensive framework for studying epidemic spread.
  • The basic reproduction number (R0) is a robust indicator of disease persistence across different network structures.
  • The model's stability analysis predicts clear conditions for disease eradication or endemicity.