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

Infection01:20

Infection

9.0K
When a pathogen enters the body and reproduces, it can cause an infection, damage body cells, and cause illness symptoms that eventually lead to disease. Therefore, its prevention requires breaking the chain of 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...
9.0K
Causality in Epidemiology01:21

Causality in Epidemiology

1.1K
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...
1.1K
Mutation, Gene Flow, and Genetic Drift01:09

Mutation, Gene Flow, and Genetic Drift

60.0K
In a population that is not at Hardy-Weinberg equilibrium, the frequency of alleles changes over time. Therefore, any deviations from the five conditions of Hardy-Weinberg equilibrium can alter the genetic variation of a given population. Conditions that change the genetic variability of a population include mutations, natural selection, non-random mating, gene flow, and genetic drift (small population size).
60.0K
Transmission-based Precautions II: Airborne and Protective Environment01:25

Transmission-based Precautions II: Airborne and Protective Environment

1.6K
Transmission-based precautions are for patients infected or suspected to be infected (or colonized) with organisms posing a significant risk to others. The transmission precautions include airborne and protective environment precautions.
Airborne precautions:
Use airborne precautions when treating patients known or suspected to have diseases that spread through the air—for example, tuberculosis or measles. These organisms are present in smaller droplets expelled by an infected person and...
1.6K
Transmission-based Precautions I: Contact, Enteric, and Droplets01:17

Transmission-based Precautions I: Contact, Enteric, and Droplets

4.2K
Transmission-based precautions are for patients known to be infected or suspected to be infected or colonized with organisms that pose a significant risk to others. Some transmission-based precautions include contact, enteric, and droplet.
Contact Precautions:
Contact precautions are the measures taken to prevent the transmission of infectious agents, especially epidemiologically important microorganisms such as MRSA or influenza, primarily transmitted through direct or indirect contact with an...
4.2K
Genetic Drift03:33

Genetic Drift

41.3K
Natural selection—probably the most well-known evolutionary mechanism—increases the prevalence of traits that enhance survival and reproduction. However, evolution does not merely propagate favorable traits, nor does it always benefit populations.
41.3K

You might also read

Related Articles

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

Sort by
Same journal

Stochastic Poincaré maps for a slow-fast system with white noises: Approximation and visualization.

Chaos (Woodbury, N.Y.)·2026
Same journal

On a stable torus in a 3D system with a saddle-focus.

Chaos (Woodbury, N.Y.)·2026
Same journal

Targeted interventions suppress epidemic outbreaks in spatial higher-order activity-driven networks.

Chaos (Woodbury, N.Y.)·2026
Same journal

Erratum: "Hierarchical organization of bursty trains in event sequences" [Chaos 35, 113115 (2025)].

Chaos (Woodbury, N.Y.)·2026
Same journal

Deterministic control of CW/CCW alternation by dual-frequency injection in a heterogeneous oscillator ring.

Chaos (Woodbury, N.Y.)·2026
Same journal

A CTRW-driven subdiffusive fractional Brownian bridge in the reconstruction of missing experimental data.

Chaos (Woodbury, N.Y.)·2026

Related Experiment Video

Updated: Oct 10, 2025

Dissecting Host-virus Interaction in Lytic Replication of a Model Herpesvirus
11:28

Dissecting Host-virus Interaction in Lytic Replication of a Model Herpesvirus

Published on: October 7, 2011

11.1K

Vector-host epidemic model with direct transmission in random environment.

Hyunjin Son1, Dawit Denu2

  • 1Mathematics, Division of Science, Southern Wesleyan University, 907 Wesleyan Drive, Central, South Carolina 29630, USA.

Chaos (Woodbury, N.Y.)
|December 9, 2021
PubMed
Summary

This study analyzes a stochastic epidemic model with regime-switching diffusion, examining its solution

More Related Videos

Oral Bacterial Infection and Shedding in Drosophila melanogaster
09:32

Oral Bacterial Infection and Shedding in Drosophila melanogaster

Published on: May 31, 2018

11.9K
Experimental Viral Infection in Adult Mosquitoes by Oral Feeding and Microinjection
08:02

Experimental Viral Infection in Adult Mosquitoes by Oral Feeding and Microinjection

Published on: July 28, 2022

2.5K

Related Experiment Videos

Last Updated: Oct 10, 2025

Dissecting Host-virus Interaction in Lytic Replication of a Model Herpesvirus
11:28

Dissecting Host-virus Interaction in Lytic Replication of a Model Herpesvirus

Published on: October 7, 2011

11.1K
Oral Bacterial Infection and Shedding in Drosophila melanogaster
09:32

Oral Bacterial Infection and Shedding in Drosophila melanogaster

Published on: May 31, 2018

11.9K
Experimental Viral Infection in Adult Mosquitoes by Oral Feeding and Microinjection
08:02

Experimental Viral Infection in Adult Mosquitoes by Oral Feeding and Microinjection

Published on: July 28, 2022

2.5K

Area of Science:

  • Epidemiology
  • Stochastic modeling
  • Mathematical biology

Background:

  • Vector-host disease transmission dynamics are complex.
  • Stochasticity and environmental changes significantly impact epidemic spread.
  • Understanding these factors is crucial for effective disease control.

Purpose of the Study:

  • To analyze a stochastic vector-host epidemic model with direct transmission in a random environment.
  • To investigate the existence, uniqueness, and stability of solutions.
  • To determine conditions for the existence and uniqueness of a stationary distribution.

Main Methods:

  • Utilizing stochastic differential equations with regime-switching diffusion.
  • Applying mathematical analysis to prove existence, uniqueness, and stability properties (almost sure, pth moment exponential, stochastic asymptotic).
  • Investigating criteria for the existence and uniqueness of a stationary distribution.

Main Results:

  • Established the existence and uniqueness of a positive global solution.
  • Characterized various stability properties of the model's solutions.
  • Identified conditions for the existence and uniqueness of a stationary distribution.
  • Numerical simulations validated theoretical findings.

Conclusions:

  • The study provides a comprehensive mathematical framework for understanding stochastic epidemics in changing environments.
  • The findings offer insights into disease persistence and stability in vector-host systems.
  • This research contributes to the theoretical foundation for epidemic modeling and control strategies.