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

Diffusion-driven period-doubling bifurcations.

M Kot1

  • 1Department of Mathematics, University of Tennessee, Knoxville 37996-1300.

Bio Systems
|January 1, 1989
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

Wear mechanisms description in nanoscale by SEM/TEM of multilayer Zr/ZrN coatings in dependence on phases ratio.

Journal of microscopy·2022
Same author

Small-molecule inhibitor - tyrphostin AG1296 regulates proliferation, survival and migration of rhabdomyosarcoma cells.

Journal of physiology and pharmacology : an official journal of the Polish Physiological Society·2022
Same author

Effect of the mechanical properties of carbon-based coatings on the mechanics of cell-material interactions.

Colloids and surfaces. B, Biointerfaces·2020
Same author

In situ Near-Ambient Pressure X-ray Photoelectron Spectroscopy Reveals the Influence of Photon Flux and Water on the Stability of Halide Perovskite.

ChemSusChem·2020
Same author

Microwave-assisted synthesis and characterization of novel chitosan-based biomaterials for pelvic organ prolapse treatment.

Journal of physiology and pharmacology : an official journal of the Polish Physiological Society·2019
Same author

Wear mechanisms of the biotribological nanocomposite a-C : H coatings implanted by metallic nanoparticles.

Journal of microscopy·2017
Same journal

The impedance mismatch theory: A non-equilibrium thermodynamic framework for a shared energetic stress pathway in neurodegeneration.

Bio Systems·2026
Same journal

Immune signal-status misclassification: A theoretical framework for biological status assignment and failed status resolution.

Bio Systems·2026
Same journal

Contextuality, incompatibility, and intra-system entanglement of mental markers: From cognition and decision making to medicine.

Bio Systems·2026
Same journal

A unified clearance-based model of homeostatic drive across acute and chronic sleep loss.

Bio Systems·2026
Same journal

Pattern regeneration in two-dimensional cellular automata models of bivalve shell symmetry.

Bio Systems·2026
Same journal

The formation of the quantum entanglement in DNA-mRNA system.

Bio Systems·2026
See all related articles

Discrete-time models show diffusive instability, similar to continuous models. Predator overdispersal in eruptive prey systems can cause unique diffusion-driven period-doubling bifurcations, a novel instability in predator-prey dynamics.

Area of Science:

  • Ecology
  • Mathematical Biology
  • Population Dynamics

Background:

  • Discrete-time models are prone to diffusive instability.
  • This instability often mirrors phenomena in continuous-time reaction-diffusion systems.
  • Predator-prey interactions introduce unique complexities not always captured by simpler models.

Purpose of the Study:

  • To investigate novel forms of diffusive instability in discrete-time predator-prey models.
  • To explore the impact of predator overdispersal on population dynamics.
  • To identify conditions leading to diffusion-driven bifurcations in ecological models.

Main Methods:

  • Analysis of discrete-time population growth-dispersal models.
  • Mathematical modeling of predator-prey interactions with overdispersal.

Related Experiment Videos

  • Investigation of bifurcations arising from spatial dynamics.

    • Main Results:

    • Discrete-time models commonly exhibit diffusive instability.
    • Predator overdispersal, particularly with eruptive prey, can induce period-doubling bifurcations.
    • This represents a distinct type of diffusion-driven instability in predator-prey systems.

    Conclusions:

    • Predator overdispersal is a critical factor generating novel instabilities in discrete ecological models.
    • The findings expand our understanding of spatial dynamics and pattern formation in predator-prey systems.
    • Discrete-time models offer a valuable framework for exploring complex ecological phenomena.