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

A density-dependent Leslie matrix model.

L J Allen

    Mathematical Biosciences
    |August 1, 1989
    PubMed
    Summary
    This summary is machine-generated.

    This study mathematically analyzes the density-dependent Leslie matrix model. The model exhibits logistic or periodic asymptotic distributions depending on whether the matrix is primitive or imprimitive, respectively.

    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

    Relative roles of multiple scattering and Fresnel diffraction in the imaging of small molecules using electrons, Part II: Differential Holographic Tomography.

    Ultramicroscopy·2021
    Same author

    Relative roles of multiple scattering and Fresnel diffraction in the imaging of small molecules using electrons.

    Ultramicroscopy·2020
    Same author

    The Standardization of Outpatient Procedure (STOP) Narcotics after anorectal surgery: a prospective non-inferiority study to reduce opioid use.

    Techniques in coloproctology·2020
    Same author

    Phonon Spectroscopy at Atomic Resolution.

    Physical review letters·2019
    Same author

    Structure Retrieval at Atomic Resolution in the Presence of Multiple Scattering of the Electron Probe.

    Physical review letters·2019
    Same author

    Large angle illumination enabling accurate structure reconstruction from thick samples in scanning transmission electron microscopy.

    Ultramicroscopy·2018
    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

    Area of Science:

    • Population Dynamics
    • Mathematical Biology
    • Matrix Population Models

    Background:

    • The Leslie matrix model is a foundational tool in population dynamics.
    • Density dependence is crucial for realistic population modeling.
    • Previous models often assumed constant population parameters.

    Purpose of the Study:

    • To mathematically analyze a density-dependent Leslie matrix model.
    • To compare its behavior to the constant Leslie matrix model.
    • To elucidate the asymptotic distributions under different matrix properties.

    Main Methods:

    • Mathematical analysis of a density-dependent Leslie matrix.
    • Investigation of primitive and imprimitive matrix cases.
    • Determination of asymptotic distributions.

    Related Experiment Videos

    Main Results:

    • The density-dependent Leslie matrix model shows behavior analogous to the constant Leslie matrix model.
    • In the primitive case, the asymptotic distribution follows the logistic equation.
    • In the imprimitive case, the asymptotic distribution becomes periodic, with the period linked to the imprimitivity index.

    Conclusions:

    • Density dependence introduces complex dynamics into Leslie matrix models.
    • The matrix's primitiveness dictates whether populations stabilize logistically or exhibit periodic behavior.
    • This analysis provides insights into long-term population dynamics under density-dependent constraints.