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

On synchronization in semelparous populations.

E Mjølhus1, A Wikan, T Solberg

  • 1Faculty of Science, Department of Mathematics and Statistics, University of Tromsø, N-9037 Tromsø, Norway. einarm@math.uit.no

Journal of Mathematical Biology
|February 5, 2005
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

Evaluation of the EQ-5D-3L and 5L versions in low back pain patients.

Health and quality of life outcomes·2021
Same author

SU-E-T-386: Gamma Analysis of Normalized and Un-Normalized Dose Distributions.

Medical physics·2017
Same author

SU-E-T-414: Clinical Implementation of Anthropomorphic Lung Phantom for Patient-Specific SAbR QA.

Medical physics·2017
Same author

SU-E-T-274: Monte Carlo Simulations of Output Factors for a Small Animal Irradiator.

Medical physics·2017
Same author

SU-E-T-267: Construction and Evaluation of a Neutron Wall to Shield a 15 MV Linac in a Low-Energy Vault.

Medical physics·2017
Same author

SU-E-T-451: Optimization of Normalized Prescription Isodose Selection for Stereotactic Radiation Therapy: Conventional Vs. Robotic Linac.

Medical physics·2017

Population models with semelparity can synchronize into a single age class. This study proves the Single Year Class (SYC) state is always attracting and explores unstable coexistence equilibria and Multiple Year Class (MYC) patterns.

Area of Science:

  • Population Dynamics
  • Mathematical Biology
  • Theoretical Ecology

Background:

  • Synchronization, the convergence of a population into a single age class, is observed in certain population models featuring semelparity (reproducing once).
  • Semelparity models with age structure are crucial for understanding population dynamics, particularly when reproduction is limited to the final age class.

Purpose of the Study:

  • To rigorously analyze synchronization phenomena in a specific class of nonlinear population models with age structure and semelparity.
  • To investigate the stability of the synchronized state (Single Year Class - SYC) and coexistence equilibria.
  • To characterize and analyze dynamical states involving multiple populated age classes (Multiple Year Class - MYC patterns).

Main Methods:

  • Mathematical modeling of a nonlinear population with age structure and semelparity.

Related Experiment Videos

  • Analysis of constant survival probabilities and fecundity decreasing with total population.
  • Proof of stability for the SYC dynamical state and investigation of coexistence equilibrium stability.

    • Main Results:

    • The synchronized Single Year Class (SYC) dynamical state is proven to be always attracting.
    • Coexistence equilibria are frequently found to be unstable, with simple stability results provided.
    • Dynamical states with multiple populated age classes (MYC patterns) are described, with results extending synchronization and stability analyses to these patterns.

    Conclusions:

    • The SYC state represents a robust attractor in the studied population model.
    • The instability of coexistence equilibria suggests a tendency towards synchronization or specific MYC patterns.
    • The findings provide a comprehensive understanding of age-structured population dynamics with semelparity, including complex multi-class patterns.