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

Steps in Outbreak Investigation01:18

Steps in Outbreak Investigation

In the ever-evolving field of public health, statistical analysis serves as a cornerstone for understanding and managing disease outbreaks. By leveraging various statistical tools, health professionals can predict potential outbreaks, analyze ongoing situations, and devise effective responses to mitigate impact. For that to happen, there are a few possible stages of the analysis:
Investigation of Disease Outbreaks01:23

Investigation of Disease Outbreaks

Multistate foodborne outbreaks pose significant public health risks and require meticulous investigation to identify sources and implement control measures. The Centers for Disease Control and Prevention (CDC) utilizes a dynamic seven-step process for these investigations, integrating data from laboratories, interviews, and environmental assessments to protect public health.Outbreak Detection: The detection of multistate outbreaks typically begins with PulseNet, the CDC's national laboratory...
Viral Recombination00:57

Viral Recombination

Cells are sometimes infected by more than one virus at once. When two viruses disassemble to expose their genomes for replication in the same cell, similar regions of their genomes can pair together and exchange sequences in a process called recombination. Alternatively, viruses with segmented genomes can swap segments in a process called reassortment.
Infectious Diseases and Their Occurrence01:28

Infectious Diseases and Their Occurrence

Infectious diseases appear in populations through various transmission patterns, influenced by pathogen characteristics, population immunity, environmental conditions, and social behavior. Understanding these patterns is essential for effective public health surveillance and intervention. These categories—sporadic, outbreak, epidemic, pandemic, and endemic—help frame the nature and scope of disease events.Sporadic diseases occur irregularly and infrequently, without a predictable temporal or...

You might also read

Related Articles

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

Sort by
Same author

Structural and practical identifiability of within-host models of virus dynamics - a review.

Current opinion in systems biology·2025
Same author

Structural and practical identifiability of an immuno-hand foot and mouth disease model integrating immune response within a host.

Mathematical biosciences·2025
Same author

Impact of vaccination behavior on COVID-19 dynamics and economic outcomes.

Mathematical biosciences and engineering : MBE·2025
Same author

Modeling the impact of temperature on the dynamics of carrier-dependent infectious diseases with control strategies.

Mathematical biosciences and engineering : MBE·2025
Same author

A novel within-host model of HIV and nutrition.

Mathematical biosciences and engineering : MBE·2024
Same author

The switch point algorithm applied to a harvesting problem.

Mathematical biosciences and engineering : MBE·2024
Same journal

Hepatitis B virus spreading via Beddington-DeAngelis incidence function and feed-forward neural network with optimal control.

Journal of biological dynamics·2026
Same journal

Optimal pest management in Moringa (<i>Moringa oleifera</i>): a mathematical model incorporating integrated pesticide use.

Journal of biological dynamics·2026
Same journal

The behavioural spillover effect: modelling behavioural interdependencies in multi-pathogen dynamics.

Journal of biological dynamics·2026
Same journal

Bistable wave speed of a diffusive three-species Lotka-Volterra competition model.

Journal of biological dynamics·2026
Same journal

A general analytic approach to predicting the best antibiotic dosing regimen.

Journal of biological dynamics·2026
Same journal

Dynamics of virus infection under the influence of antibody and cytokine.

Journal of biological dynamics·2026
See all related articles

Related Experiment Video

Updated: May 19, 2026

A Mouse Model for the Transition of Streptococcus pneumoniae from Colonizer to Pathogen upon Viral Co-Infection Recapitulates Age-Exacerbated Illness
12:21

A Mouse Model for the Transition of Streptococcus pneumoniae from Colonizer to Pathogen upon Viral Co-Infection Recapitulates Age-Exacerbated Illness

Published on: September 28, 2022

A non-autonomous multi-strain SIS epidemic model.

Maia Martcheva1

  • 1Department of Mathematics, University of Florida, Gainesville, FL, USA. maia@math.ufl.edu

Journal of Biological Dynamics
|August 14, 2012
PubMed
Summary
This summary is machine-generated.

This study analyzes a non-autonomous multi-strain SIS epidemic model. It establishes conditions for disease-free equilibrium stability, single-strain periodic solution existence, and two-strain coexistence, revealing transmission rate dependencies.

More Related Videos

Heuristic Mining of Hierarchical Genotypes and Accessory Genome Loci in Bacterial Populations
08:03

Heuristic Mining of Hierarchical Genotypes and Accessory Genome Loci in Bacterial Populations

Published on: December 7, 2021

Related Experiment Videos

Last Updated: May 19, 2026

A Mouse Model for the Transition of Streptococcus pneumoniae from Colonizer to Pathogen upon Viral Co-Infection Recapitulates Age-Exacerbated Illness
12:21

A Mouse Model for the Transition of Streptococcus pneumoniae from Colonizer to Pathogen upon Viral Co-Infection Recapitulates Age-Exacerbated Illness

Published on: September 28, 2022

Heuristic Mining of Hierarchical Genotypes and Accessory Genome Loci in Bacterial Populations
08:03

Heuristic Mining of Hierarchical Genotypes and Accessory Genome Loci in Bacterial Populations

Published on: December 7, 2021

Area of Science:

  • Mathematical epidemiology
  • Dynamical systems theory
  • Population dynamics

Background:

  • Epidemic models are crucial for understanding disease spread.
  • Non-autonomous models with periodic coefficients capture seasonal variations in disease transmission.
  • Multi-strain models are essential for studying complex epidemiological scenarios.

Purpose of the Study:

  • To analyze a non-autonomous multi-strain SIS epidemic model with periodic coefficients.
  • To derive and interpret reproduction numbers for disease dynamics.
  • To investigate the stability of equilibria and the existence of periodic solutions.

Main Methods:

  • Derivation of reproduction numbers and invasion reproduction numbers.
  • Analysis of local and global stability for the disease-free equilibrium.
  • Establishment of existence and uniqueness for single-strain periodic solutions.
  • Investigation of uniform strong persistence and coexistence conditions for two strains.

Main Results:

  • Reproduction numbers align with those from autonomous models.
  • Conditions for local and global stability of the disease-free equilibrium are identified.
  • Existence and uniqueness of a single-strain periodic solution are proven.
  • Local stability of the single-strain periodic solution is demonstrated.
  • Conditions for uniform strong persistence and coexistence of two strains are derived.
  • Coexistence is shown to be dependent on transmission rate relationships.

Conclusions:

  • The model provides insights into the complex dynamics of multi-strain epidemics.
  • Periodic coefficients significantly influence epidemic dynamics and stability.
  • Transmission rate dependencies are critical factors for strain coexistence.