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

Cholera01:25

Cholera

142
Cholera is an acute gastrointestinal disease caused by the Gram-negative bacterium Vibrio cholerae. It is transmitted primarily via the fecal-oral route through the ingestion of contaminated water or food.Vibrio cholerae is a motile, Gram-negative bacterium of the family Vibrionaceae, primarily associated with waterborne outbreaks in areas with inadequate sanitation. Although over 200 serogroups of V. cholerae exist, only O1 and O139 are responsible for epidemic cholera. The O1 serogroup,...
142
Modeling with Differential Equations01:25

Modeling with Differential Equations

333
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...
333
Exponential Equations for Modeling Growth01:26

Exponential Equations for Modeling Growth

458
Exponential models are essential for describing rapid, multiplicative changes in natural systems, such as population growth. When a population doubles at regular intervals, the process can be modeled using a suitable base. For instance, a bacterial culture that doubles every three hours follows the model n(t)=n0⋅2t/3, where n(t) is the population at the time t.A more general model uses the natural base e, especially for continuous growth. This takes the form n(t)=n0⋅ert, where r is...
458
Design Example: Creating a Hydraulic Model of a Dam Spillway01:21

Design Example: Creating a Hydraulic Model of a Dam Spillway

977
Scaled hydraulic models of dam spillways provide a practical way to replicate and study the intricate flow dynamics of these structures. Often built to a 1:15 ratio, these models allow for observing critical water behavior, such as velocity distribution, flow patterns, and energy dissipation.
977
Marine Microbial Ecology01:30

Marine Microbial Ecology

65
Marine microbial ecosystems are shaped by distinct physicochemical limits, including high salinity, low nutrient availability, and fluctuating oxygen levels. These conditions favor smaller microbial cell sizes, which maximize their surface-to-volume ratio for efficient nutrient uptake.Microbial activity and community composition are closely linked to biogeochemical cycles, particularly in dynamic environments like estuaries, where halotolerant microbes thrive in response to variable salinity...
65

You might also read

Related Articles

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

Sort by
Same author

Geospatial Risk-Based Survey Model for '<i>Candidatus</i> Liberibacter asiaticus' Detection in Residential Citrus Populations in California.

Plant disease·2025
Same author

Attribution of Salmonella enterica to Food Sources by Using Whole-Genome Sequencing Data.

Emerging infectious diseases·2025
Same author

Canine Olfactory Detection of a Non-Systemic Phytobacterial Citrus Pathogen of International Quarantine Significance.

Entropy (Basel, Switzerland)·2020
Same author

Canine olfactory detection of a vectored phytobacterial pathogen, Liberibacter asiaticus, and integration with disease control.

Proceedings of the National Academy of Sciences of the United States of America·2020
Same author

A probabilistic census-travel model to predict introduction sites of exotic plant, animal and human pathogens.

Philosophical transactions of the Royal Society of London. Series B, Biological sciences·2019
Same author

Using models to provide rapid programme support for California's efforts to suppress Huanglongbing disease of citrus.

Philosophical transactions of the Royal Society of London. Series B, Biological sciences·2019

Related Experiment Video

Updated: Apr 27, 2026

Vibrio cholerae: Model Organism to Study Bacterial Pathogenesis - Interview
06:44

Vibrio cholerae: Model Organism to Study Bacterial Pathogenesis - Interview

Published on: May 28, 2007

7.1K

Modelling cholera in periodic environments.

Drew Posny1, Jin Wang

  • 1a Department of Mathematics and Statistics , Old Dominion University , Norfolk , VA 23529 , USA.

Journal of Biological Dynamics
|June 26, 2014
PubMed
Summary

This study introduces a mathematical model for cholera dynamics in environments with seasonal variations. The model analyzes epidemic and endemic cholera patterns using the basic reproduction number and numerical simulations.

Area of Science:

  • Epidemiology
  • Mathematical Biology
  • Infectious Disease Modeling

Background:

  • Cholera outbreaks are influenced by environmental factors, including seasonality.
  • Understanding disease dynamics is crucial for effective public health interventions.

Purpose of the Study:

  • To develop a deterministic compartmental model for cholera dynamics in periodic environments.
  • To analyze the impact of seasonal variations on cholera incidence and pathogen concentration.
  • To investigate the epidemic and endemic dynamics of cholera.

Main Methods:

  • Formulation of a deterministic compartmental model incorporating seasonal variations.
  • Derivation of the basic reproduction number for the periodic model.
  • Analytical analysis of epidemic and endemic dynamics.

More Related Videos

Quantifying Vibrio cholerae Colonization and Diarrhea in the Adult Zebrafish Model
08:03

Quantifying Vibrio cholerae Colonization and Diarrhea in the Adult Zebrafish Model

Published on: July 12, 2018

7.9K
Laboratory Techniques Used to Maintain and Differentiate Biotypes of Vibrio cholerae Clinical and Environmental Isolates
07:58

Laboratory Techniques Used to Maintain and Differentiate Biotypes of Vibrio cholerae Clinical and Environmental Isolates

Published on: May 30, 2017

10.4K

Related Experiment Videos

Last Updated: Apr 27, 2026

Vibrio cholerae: Model Organism to Study Bacterial Pathogenesis - Interview
06:44

Vibrio cholerae: Model Organism to Study Bacterial Pathogenesis - Interview

Published on: May 28, 2007

7.1K
Quantifying Vibrio cholerae Colonization and Diarrhea in the Adult Zebrafish Model
08:03

Quantifying Vibrio cholerae Colonization and Diarrhea in the Adult Zebrafish Model

Published on: July 12, 2018

7.9K
Laboratory Techniques Used to Maintain and Differentiate Biotypes of Vibrio cholerae Clinical and Environmental Isolates
07:58

Laboratory Techniques Used to Maintain and Differentiate Biotypes of Vibrio cholerae Clinical and Environmental Isolates

Published on: May 30, 2017

10.4K
  • Numerical simulations to validate analytical predictions.

    • Main Results:

    • The model successfully incorporates seasonal variations into cholera dynamics.
    • The basic reproduction number provides insights into epidemic potential.
    • Analysis reveals key factors influencing cholera spread in periodic environments.
    • Numerical simulations confirm the accuracy of the analytical predictions.

    Conclusions:

    • The proposed model offers a robust framework for studying cholera in seasonal environments.
    • The findings contribute to a better understanding of cholera epidemiology.
    • This work supports the development of targeted public health strategies for cholera control.