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 Experiment Videos

Models for the simple epidemic

R W West1, J R Thompson

  • 1Department of Statistics, University of South Carolina, Columbia 29208.

Mathematical Biosciences
|April 1, 1997
PubMed
Summary
This summary is machine-generated.

Related Concept Videos

You might also read

Related Articles

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

Sort by
Same author

Molecular evidence of anteroposterior patterning in adult echinoderms.

Nature·2023
Same author

Measurement and initial characterization of leukocyte telomere length in 474,074 participants in UK Biobank.

Nature aging·2023
Same author

Mussismilia braziliensis White Plague Disease Is Characterized by an Affected Coral Immune System and Dysbiosis.

Microbial ecology·2020
Same author

Artificial neural network discovery of a switchable metasurface reflector.

Optics express·2020
Same author

Characterization of Botrytis cinerea from Table Grapes in Chile Using RAPD-PCR.

Plant disease·2019
Same author

The Detection and Variation of Strawberry mottle virus.

Plant disease·2019
Same journal

The stability and bifurcations of ecosystems within resource constraints - Dedicated to Professor Shigui Ruan on the occasion of his 60th birthday.

Mathematical biosciences·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
See all related articles

Stochastic and deterministic epidemic models were compared. Initial infective numbers significantly impact model convergence, with discrete stochastic models approximating continuous ones as time steps decrease.

Area of Science:

  • Epidemiology
  • Mathematical Modeling
  • Computational Simulation

Background:

  • Epidemic modeling relies on both stochastic and deterministic approaches.
  • Understanding the relationship between these models is crucial for accurate disease spread predictions.
  • Previous research suggested potential equivalence under certain conditions.

Purpose of the Study:

  • To formulate and compare discrete and continuous time stochastic and deterministic models for simple epidemics.
  • To investigate the practical significance of the equivalence conjecture between stochastic and deterministic models.
  • To determine the influence of initial conditions on model convergence.

Main Methods:

  • Development of discrete and continuous time stochastic and deterministic epidemic models.

Related Experiment Videos

  • Comparative analysis of model outputs using simulation studies.
  • Assessment of convergence properties based on varying initial susceptible and infective populations.

    • Main Results:

    • The equivalence between stochastic and deterministic models has limited practical importance for large initial susceptible populations.
    • The number of initial infectives significantly affects the convergence of stochastic and deterministic models.
    • Discrete stochastic models converge to their continuous counterparts as the time step diminishes.

    Conclusions:

    • Initial conditions, particularly the number of infectives, are critical factors in epidemic model selection and interpretation.
    • Discrete stochastic models offer a practical and accurate approach to simulating simple epidemics.
    • The convergence of discrete to continuous models supports the validity of discrete-time simulations in epidemiology.