Search research articles

ABOUT JoVE

Overview Leadership Blog JoVE Help Center

AUTHORS

Publishing Process Editorial Board Scope & Policies Peer Review FAQ Submit

LIBRARIANS

Testimonials Subscriptions Access Resources Library Advisory Board FAQ

RESEARCH

JoVE Journal Methods Collections JoVE Encyclopedia of Experiments Archive

EDUCATION

JoVE Core JoVE Business JoVE Science Education JoVE Lab Manual Faculty Resource Center Faculty Site

Terms & Conditions of Use

Related Concept Videos

Population Growth

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.

Optimal Foraging

Optimal Foraging

How animals obtain and eat their food is called foraging behavior. Foraging can include searching for plants and hunting for prey and depends on the species and environment.

Predator-Prey Interactions

Predator-Prey Interactions

Predators consume prey for energy. Predators that acquire prey and prey that avoid predation both increase their chances of survival and reproduction (i.e., fitness). Routine predator-prey interactions elicit mutual adaptations that improve predator offenses, such as claws, teeth, and speed, as well as prey defenses, including crypsis, aposematism, and mimicry. Thus, predator-prey interactions resemble an evolutionary arms race.

Limits to Natural Selection

Limits to Natural Selection

Organisms that are well-adapted to their environment are more likely to survive and reproduce. However, natural selection does not lead to perfectly adapted organisms. Several factors constrain natural selection.

Conservation of Declining Populations

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.

Conservation of Small Populations

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...

You might also read

Related Articles

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

Sort by

Same author

Sagittal alignment of the cervical spine: radiographic analysis of 111 asymptomatic adolescents, a retrospective observational study.

BMC musculoskeletal disorders·2022

Same author

Neuropeptide Y and receptors are associated with the pyroptosis of nucleus pulposus in aging and degenerative intervertebral discs of rats.

Neuropeptides·2022

Same author

BC<sub>OFGs</sub> loaded with nano-Fe<sub>x</sub>S<sub>y</sub> for the catalytic degradation of QNC: Contribution and mechanism of OFGs for reductive iron regeneration.

Journal of hazardous materials·2022

Same author

High-Efficiency Continuous-Luminescence-Controllable Performance and Antithermal Quenching in Bi<sup>3+</sup>-Activated Phosphors.

Inorganic chemistry·2022

Same author

Mineralized Enzyme-Based Biomaterials with Superior Bioactivities for Bone Regeneration.

ACS applied materials & interfaces·2022

Same author

Assessing risk factors for latent and active tuberculosis among persons living with HIV in Florida: A comparison of self-reports and medical records.

PloS one·2022

Search research articles

Related Experiment Video

Updated: Jan 6, 2026

Monitoring Spatial Segregation in Surface Colonizing Microbial Populations

Monitoring Spatial Segregation in Surface Colonizing Microbial Populations

Published on: October 29, 2016

Turing Instability and Colony Formation in Spatially Extended Rosenzweig-MacArthur Predator-Prey Models with

Zhi Zhou¹, Robert A Van Gorder²

¹Department of Engineering Sciences and Applied Mathematics, McCormick School of Engineering and Applied Science, Northwestern University, 2145 Sheridan Road, Evanston, IL, 60208, USA.

Bulletin of Mathematical Biology

|October 10, 2019

Summary

Adding external resources to predator-prey models enables spatial pattern formation and colony development. This research explores how allochthonous resources drive pattern formation in ecological systems.

Keywords:

Allochthonous resources Colony formation Rosenzweig–MacArthur model Turing instability Turing–Hopf instability

More Related Videos

Predicting the Effectiveness of Population Replacement Strategy Using Mathematical Modeling

Predicting the Effectiveness of Population Replacement Strategy Using Mathematical Modeling

Published on: July 4, 2007

A Real-Time Interactive System for Studying Confrontational Pursuit Behavior in Rodents

A Real-Time Interactive System for Studying Confrontational Pursuit Behavior in Rodents

Published on: May 16, 2025

Related Experiment Videos

Last Updated: Jan 6, 2026

Monitoring Spatial Segregation in Surface Colonizing Microbial Populations

Monitoring Spatial Segregation in Surface Colonizing Microbial Populations

Published on: October 29, 2016

Predicting the Effectiveness of Population Replacement Strategy Using Mathematical Modeling

Predicting the Effectiveness of Population Replacement Strategy Using Mathematical Modeling

Published on: July 4, 2007

A Real-Time Interactive System for Studying Confrontational Pursuit Behavior in Rodents

A Real-Time Interactive System for Studying Confrontational Pursuit Behavior in Rodents

Published on: May 16, 2025

Area of Science:

Ecology
Mathematical Biology
Theoretical Ecology

Background:

Spatial extensions of the Rosenzweig-MacArthur predator-prey model typically do not exhibit pattern formation via the Turing mechanism.
Previous work showed heterogeneous solutions when resources are spatially separated, but not Turing-driven patterns.

Purpose of the Study:

To investigate spatial pattern formation and colony formation in Rosenzweig-MacArthur models with the addition of allochthonous resources.
To explore Turing and Turing-Hopf mechanisms in two distinct spatial models incorporating external resource subsidies.

Main Methods:

Analysis of two spatial Rosenzweig-MacArthur models generalized to include allochthonous resources.
Investigation of pattern formation through Turing and Turing-Hopf bifurcations in three-component (predator-prey-resource) and predator-prey-quarry-resource-scavenger systems.

Main Results:

Demonstrated that the inclusion of allochthonous resources can lead to spatial patterning and colony formation.
Identified parameter regimes supporting Turing and Turing-Hopf bifurcations, resulting in spatial or spatiotemporal patterns.
Observed that spatial patterning occurs when predators are significantly more mobile than prey, leading to prey colony formation.

Conclusions:

Allochthonous resources provide a mechanism for achieving colony formation in Rosenzweig-MacArthur models, overcoming limitations of the standard model.
Spatially heterogeneous patterning, particularly of prey, may resolve the paradox of enrichment in spatial ecological systems.
The findings highlight the role of external resource subsidies and differential mobility in generating ecological patterns.