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

Population Growth00:57

Population Growth

Population size is dynamic, increasing with birth rates and immigration, and decreasing with death rates and emigration. In ideal conditions with unlimited resources, populations can increase exponentially, which plots as a J-shaped growth rate curve of population size against time. This type of curve is characteristic of newly-introduced invasive species, or populations that have suffered catastrophic declines and are rebounding.However, realistic environmental conditions limit the number of...
What are Populations and Communities?00:30

What are Populations and Communities?

Populations are groups of individuals of the same species that inhabit a shared environment. Communities include multiple co-existing, interacting populations of different species. Metapopulations span multiple populations of the same species that occupy different areas. Metapopulations interact through immigration and emigration, providing genetic diversity that lends resilience to harsh environments. Population size and density can be estimated using quadrat and mark and recapture...
Modeling with Differential Equations01:25

Modeling with Differential Equations

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...
Mechanistic Models: Compartment Models in Individual and Population Analysis01:23

Mechanistic Models: Compartment Models in Individual and Population Analysis

Mechanistic models are utilized in individual analysis using single-source data, but imperfections arise due to data collection errors, preventing perfect prediction of observed data. The mathematical equation involves known values (Xi), observed concentrations (Ci), measurement errors (εi), model parameters (ϕj), and the related function (ƒi) for i number of values. Different least-squares metrics quantify differences between predicted and observed values. The ordinary least squares (OLS)...
Conservation of Small Populations02:04

Conservation of Small Populations

Small population sizes put a species at extreme risk of extinction due to a lack of variation, and a consequent decrease in adaptability. This weakens the chances of survival under pressures such as climate change, competition from other species, or new diseases. Large populations are more likely to survive pressures such as these, as such populations are more likely to harbor individuals that have genetic variants that are adaptive under new stresses. Small populations are much less likely to...
Conservation of Declining Populations02:07

Conservation of Declining Populations

Conservation of declining population focuses on ways of detecting, diagnosing, and halting a population decline. The approach uses methods to prevent populations from going extinct.

You might also read

Related Articles

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

Sort by
Same author

Climate variability and COVID-19 non-pharmaceutical interventions shaped dengue transmission in Guangdong: an integrated modeling study.

Scientific reports·2026
Same author

Modeling and analysis of the effect of dissolved oxygen on the dynamics of Plankton system in shallow lakes.

Mathematical biosciences·2026
Same author

Dynamical modeling and analysis of the impact of zonal prevention and control under normalized management on African Swine Fever transmission in China.

Infectious Disease Modelling·2026
Same author

A two-stage OOD-aware approach for mosquito species detection based on RT-DETRv2.

Scientific reports·2026
Same author

Stacked-ensemble forecasting of cutaneous leishmaniasis in M'Sila Algeria with epidemiology and seasonality over three decades.

Acta tropica·2026
Same author

Two Decades of Dengue in Bangladesh (2001-2024): Epidemiologic Trends, Geographic Spread and Climatic Drivers.

Tropical medicine & international health : TM & IH·2026

Related Experiment Video

Updated: Jun 14, 2026

Predicting the Effectiveness of Population Replacement Strategy Using Mathematical Modeling
20:36

Predicting the Effectiveness of Population Replacement Strategy Using Mathematical Modeling

Published on: July 4, 2007

Coexistence in a metapopulation model with explicit local dynamics.

Zhilan Feng1, Robert Swihart, Yingfei Yi

  • 1Department of Mathematics, Purdue University, West Lafayette, IN 47907. zfeng@math.purdue.edu.

Mathematical Biosciences and Engineering : MBE
|April 8, 2010
PubMed
Summary
This summary is machine-generated.

This study introduces a metapopulation model with explicit local competition dynamics for two species. The findings reveal more complex ecological outcomes in fragmented landscapes than previously assumed.

More Related Videos

Following the Dynamics of Structural Variants in Experimentally Evolved Populations
04:52

Following the Dynamics of Structural Variants in Experimentally Evolved Populations

Published on: February 3, 2023

Monitoring Spatial Segregation in Surface Colonizing Microbial Populations
07:40

Monitoring Spatial Segregation in Surface Colonizing Microbial Populations

Published on: October 29, 2016

Related Experiment Videos

Last Updated: Jun 14, 2026

Predicting the Effectiveness of Population Replacement Strategy Using Mathematical Modeling
20:36

Predicting the Effectiveness of Population Replacement Strategy Using Mathematical Modeling

Published on: July 4, 2007

Following the Dynamics of Structural Variants in Experimentally Evolved Populations
04:52

Following the Dynamics of Structural Variants in Experimentally Evolved Populations

Published on: February 3, 2023

Monitoring Spatial Segregation in Surface Colonizing Microbial Populations
07:40

Monitoring Spatial Segregation in Surface Colonizing Microbial Populations

Published on: October 29, 2016

Area of Science:

  • Ecology
  • Mathematical Biology
  • Population Dynamics

Background:

  • Traditional metapopulation models often simplify local population dynamics, assuming equilibrium and independence from patch occupancy.
  • This simplification may overlook crucial interactions influencing species persistence in fragmented habitats.

Purpose of the Study:

  • To develop and analyze a metapopulation model that explicitly incorporates the local population dynamics of two competing species.
  • To investigate how local competition affects the overall metapopulation dynamics, including colonization and extinction processes.

Main Methods:

  • Utilized the singular perturbation method to decouple fast local competition dynamics from slow metapopulation processes.
  • Developed a novel patch-based metapopulation model integrating interspecific competition within patches.

Main Results:

  • The coupled metapopulation-competition model exhibits more complex dynamics than models lacking explicit local interactions.
  • Demonstrated that local species interactions significantly influence colonization-extinction rates and overall metapopulation behavior.

Conclusions:

  • Explicitly modeling local population dynamics is crucial for accurately understanding metapopulation behavior in fragmented ecosystems.
  • The developed model provides a more realistic framework for studying species interactions and persistence in spatially structured environments.