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

The "deterministic simple epidemic" unmasked

D Mollison1, H Daniels

  • 1Heriot-Watt University, Edinburgh, Scotland.

Mathematical Biosciences
|September 1, 1993
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

Search for Wives.

Hall's journal of health·2022
Same author

Exploring barriers and solutions in advancing cross-centre population data science.

International journal of population data science·2021
Same author

Surprising impact of stromal TIL's on immunotherapy efficacy in a real-world lung cancer study.

Lung cancer (Amsterdam, Netherlands)·2021
Same author

Calcium urolithiasis in a breeding population of southern flounder (Paralichthys lethostigma) housed in a low salinity environment.

The veterinary quarterly·2016
Same author

Cognitive assessment of very low birth weight infants using the Dutch version of the PARCA-R parent questionnaire.

Early human development·2014
Same author

Turning principles into practice in Alzheimer's disease.

International journal of clinical practice·2010

This study reveals a surprising link between deterministic epidemic models and spatial birth-and-death processes. This finding has significant implications for understanding epidemic spread using mathematical models.

Area of Science:

  • Mathematical Biology
  • Epidemiology
  • Stochastic Processes

Background:

  • Nonlinear differential equation models are commonly used to study epidemic spatial spread.
  • Previous research has not fully explored the connection between deterministic epidemic models and spatial birth-and-death processes.

Purpose of the Study:

  • To establish a novel connection between deterministic epidemic models with recovery and spatial birth-and-death processes.
  • To discuss the implications of this connection for epidemic modeling.
  • To publish a foundational 1977 manuscript and its recent extension.

Main Methods:

  • Derivation of a connection between epidemic models and spatial birth-and-death processes.
  • Analysis of implications for nonlinear differential equation models.

Related Experiment Videos

Main Results:

  • A simple yet surprising link was identified between deterministic epidemic models with recovery and spatial birth-and-death processes.
  • The findings suggest a re-evaluation of assumptions in current epidemic spread models.

Conclusions:

  • The established connection provides a new perspective on spatial epidemic modeling.
  • This work bridges a gap between deterministic and stochastic approaches to epidemic spread.