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

Dispersion population models discrete in time and continuous in space.

D P Hardin1, P Takác, G F Webb

  • 1Department of Mathematics, Vanderbilt University, Nashville, TN 37235.

Journal of Mathematical Biology
|January 1, 1990
PubMed
Summary

This study models population dynamics, revealing that survival, extinction, and stable states depend on global parameters. Different dispersal strategies impact population distribution and long-term viability.

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

A spatial model of honey bee colony collapse due to pesticide contamination of foraging bees.

Journal of mathematical biology·2020
Same author

An Environmental Model of Honey Bee Colony Collapse Due to Pesticide Contamination.

Bulletin of mathematical biology·2019
Same author

Identifying the number of unreported cases in SIR epidemic models.

Mathematical medicine and biology : a journal of the IMA·2019
Same author

Challenging the Wigglesworthia, Sodalis, Wolbachia symbiosis dogma in tsetse flies: Spiroplasma is present in both laboratory and natural populations.

Scientific reports·2017
Same author

Effect of Methyl Farnesoate on Late Larval Development and Metamorphosis in the Prawn Macrobrachium rosenbergii (Decapoda, Palaemonidae): A Juvenoid-like Effect?

The Biological bulletin·2017
Same author

An outbreak vector-host epidemic model with spatial structure: the 2015-2016 Zika outbreak in Rio De Janeiro.

Theoretical biology & medical modelling·2017

Area of Science:

  • Mathematical Biology
  • Population Dynamics
  • Ecological Modeling

Background:

  • Populations exhibit complex behaviors including growth and spatial dispersal.
  • Understanding population dynamics requires models that account for local crowding and spatial distribution.
  • Previous models often simplify dispersal mechanisms, limiting their applicability.

Purpose of the Study:

  • To analyze a discrete-time population model with distinct growth and dispersal phases.
  • To investigate the influence of local crowding on population growth.
  • To quantify factors affecting population survival, extinction, and steady-state stability under various dispersal strategies.

Main Methods:

  • Developed a nonlinear growth phase model incorporating local crowding effects.

Related Experiment Videos

  • Implemented a linear dispersion phase model for spatial population distribution.
  • Employed functional analysis and operator theory, specifically positive operators in Banach lattices, for mathematical analysis.

    • Main Results:

    • Population survival, extinction, and steady-state stability are intrinsically linked to global model parameters.
    • Compared numerical results of extreme dispersal strategies (staying-in-place, uniform distribution) against diffusion strategies.
    • Demonstrated that the global nature of parameters dictates the outcomes of population dynamics.

    Conclusions:

    • The study provides a rigorous mathematical framework for analyzing population dynamics with spatial structure.
    • Dispersal strategies significantly influence population persistence and spatial distribution.
    • Global parameter effects are crucial for understanding population viability and ecological stability.