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

A multi-species epidemic model with spatial dynamics.

Julien Arino1, Jonathan R Davis, David Hartley

  • 1Department of Mathematics and Statistics, University of Victoria, Victoria, British Columbia, Canada V8W 3P4. arino@math.mcmaster.ca

Mathematical Medicine and Biology : a Journal of the IMA
|March 22, 2005
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

Tumoral and Systemic Immune Correlates of Response to Concurrent Pembrolizumab and Chemoradiotherapy in Patients with Resected High-Risk Head and Neck Squamous Cell Carcinoma.

Clinical cancer research : an official journal of the American Association for Cancer Research·2026
Same author

Dynamics of infectious disease spread between transportation hubs and surrounding communities.

Infectious Disease Modelling·2026
Same author

Deterministic and Stochastic Infection Dynamics in a Population Subject to Stress.

Bulletin of mathematical biology·2026
Same author

Building Enhanced Public Health Data Systems With a Situational Awareness and Learning Tool: Focus Group Study.

Online journal of public health informatics·2026
Same author

Shoulder arthroplasty in the osteoporotic patient: do bisphosphonates make a difference?

JSES international·2026
Same author

Retrospective analysis of age-specific non-pharmaceutical interventions on wild-type SARS-CoV-2 in Canada.

BMC public health·2026
Same journal

Dynamical Analysis of an Impulsive Model of Cancer Cell Populations Under Radiotherapy.

Mathematical medicine and biology : a journal of the IMA·2026
Same journal

Mathematical modelling of biofilm growth on medical implants incorporating nutrient-dependent phenotypic switching.

Mathematical medicine and biology : a journal of the IMA·2026
Same journal

Modeling opioid use disorder in hand surgery patients.

Mathematical medicine and biology : a journal of the IMA·2026
Same journal

Tuning Butterworth filter's parameters in SPECT reconstructions via kernel-based Bayesian optimization with a no-reference image evaluation metric.

Mathematical medicine and biology : a journal of the IMA·2025
Same journal

Mechanical cell competition in a model of epithelial layer with size dependent proliferation.

Mathematical medicine and biology : a journal of the IMA·2025
Same journal

The effect of cell adhesion on the interpretation of scratch assay data: a non-local model.

Mathematical medicine and biology : a journal of the IMA·2025
See all related articles

This study introduces a new model for tracking spatial disease spread across multiple species and patches. The model aids in understanding disease dynamics and stability, crucial for public health interventions.

Area of Science:

  • Mathematical modeling
  • Epidemiology
  • Ecology

Background:

  • Diseases can spread between species, complicating control efforts.
  • Understanding spatial spread is key to predicting and managing epidemics.

Purpose of the Study:

  • To develop a mathematical model for multi-species, spatially-explicit disease transmission.
  • To analyze the stability of disease-free states using a novel reproduction number formula.

Main Methods:

  • A compartmental Susceptible-Exposed-Infectious-Recovered (SEIR) model was adapted for multiple species and spatial patches.
  • A directed graph represented species movement between patches.
  • A formula for the basic reproduction number (R0) was derived for multi-species, multi-patch systems.

Related Experiment Videos

Main Results:

  • The model successfully describes spatial disease propagation across species.
  • The derived R0 formula is applicable to complex multi-species and multi-patch scenarios.
  • Simulations demonstrated disease spread dynamics in a simplified one-species, two-patch system.

Conclusions:

  • The formulated model provides a robust framework for analyzing multi-species epidemic dynamics.
  • The R0 calculation is essential for determining the global stability of disease-free equilibria.
  • This approach is valuable for disease control and prevention strategies.