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

Habitat edges and predator-prey interactions: effects on critical patch size.

Robert Stephen Cantrell1, Chris Cosner, William F Fagan

  • 1Department of Mathematics and Computer Science, University of Miami, P.O. Box 249085, Coral Gables, FL 33124-4250, USA. rsc@math.miami.edu

Mathematical Biosciences
|January 10, 2002
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

Too Few, Too Many, or Just Right? Optimizing Sample Sizes for Population-Level Inferences in Animal Tracking Projects.

Ecology and evolution·2026
Same author

A predator-prey model with age-structured role reversal.

Journal of mathematical biology·2026
Same author

Dynamic Lake Ice Conditions Shape Caribou Water-Crossing Behavior in the Arctic.

Global change biology·2026
Same author

How animal movement influences wildlife-vehicle collision risk: A mathematical framework for range-resident species.

Journal of theoretical biology·2026
Same author

Clarifying space use concepts in ecology: Range vs. occurrence distributions.

Ecology·2026
Same author

Birds That Don't Exist: Niche Pre-Emption as a Constraint on Morphological Evolution in the Passeroidea.

Ecology letters·2026
Same journal

The hydra and hormetic effects in a single discrete-time overcompensation model.

Mathematical biosciences·2026
Same journal

Seasonal Impacts on Brucellosis Transmission Mediated by Live Sheep Supply-Demand Dynamics.

Mathematical biosciences·2026
Same journal

Optimal controls and cost-effectiveness analysis on the transmission dynamics of early blight disease in tomatoes.

Mathematical biosciences·2026
Same journal

Temperature-dependent dynamics and allee effect thresholds mediate fourfold cusp stability in biological control of invasive vectors.

Mathematical biosciences·2026
Same journal

Dynamics of a stochastic tumor-immune interaction system with an Ornstein-Uhlenbeck process.

Mathematical biosciences·2026
Same journal

Post-peak dynamics and epidemic overshoot in SIR-type frameworks.

Mathematical biosciences·2026
See all related articles

Predator incursions into prey habitats can impact species survival. This study models how predator behavior affects the minimum habitat size needed for prey persistence.

Area of Science:

  • Mathematical Biology
  • Ecology
  • Population Dynamics

Background:

  • Understanding predator-prey dynamics is crucial for ecological conservation.
  • Habitat fragmentation and predator movement influence species persistence.
  • Patch-resident prey species face threats from external predators.

Purpose of the Study:

  • To investigate the impact of predator incursions on prey species persistence.
  • To determine how predator behavior influences critical patch size for prey.
  • To analyze two distinct predator incursion models: constant distance and constant loss rate.

Main Methods:

  • Utilized partial differential equation (PDE) models.
  • Simulated predator incursions into prey habitats.
  • Analyzed the conditions affecting prey species' critical patch size.

Related Experiment Videos

Main Results:

  • Identified specific conditions under which predator incursions affect prey persistence.
  • Demonstrated that predator behavior (incursion distance, loss rate) modifies critical patch size.
  • Characterized scenarios where predators promote prey extinction versus enabling prey survival.

Conclusions:

  • Predator incursions can significantly alter the ecological dynamics of patch-resident prey.
  • The specific profile of predator incursions is a key factor in determining prey population outcomes.
  • Mathematical modeling provides insights into predator-prey interactions and habitat requirements.