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 dynamical model for human population.

J Yellin, P A Samuelson

    Proceedings of the National Academy of Sciences of the United States of America
    |July 1, 1974
    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

    An economist's non-linear model of self-generated fertility waves.

    Population studies·2011
    Same author

    Nobel laureates' letter to President Bush.

    The Washington post·2002
    Same author

    Mutations in the c-erbA beta 1 gene: do they underlie euthyroid fibromyalgia?

    Medical hypotheses·1997
    Same author

    Conserved energy without work or heat.

    Proceedings of the National Academy of Sciences of the United States of America·1992
    Same author

    A case at last for age-phased reduction in equity.

    Proceedings of the National Academy of Sciences of the United States of America·1989
    Same author

    Intra-abdominal abscess demonstrating an unusually large intra-abdominal pattern on an indium-111 leukocyte scan.

    Clinical nuclear medicine·1988
    Same journal

    Chemotactic self-organization captures the dynamics of mammalian hair follicle patterning.

    Proceedings of the National Academy of Sciences of the United States of America·2026
    Same journal

    Tomographic imaging of superconducting order using particle-hole interference.

    Proceedings of the National Academy of Sciences of the United States of America·2026
    Same journal

    Inhibitory potential of autologous neutralizing antibodies sets quantitative limits on the rebound-competent HIV-1 reservoir.

    Proceedings of the National Academy of Sciences of the United States of America·2026
    Same journal

    Inferring epidemiological parameters under an infectious phylogeography model with visitor dynamics.

    Proceedings of the National Academy of Sciences of the United States of America·2026
    Same journal

    Analytical modeling for suction cup designs for skin-interfaced wearable devices.

    Proceedings of the National Academy of Sciences of the United States of America·2026
    Same journal

    Improving cell-free metabolism through direct integration of artificial respiratory chains.

    Proceedings of the National Academy of Sciences of the United States of America·2026
    See all related articles

    This study models bisexual population dynamics using marriage. It reveals how birth and death rates influence sex ratios, with fertility below replacement potentially causing extreme sex ratio distortions.

    Area of Science:

    • Population dynamics
    • Mathematical biology
    • Demography

    Background:

    • Previous models of population biology, including work by Kendall, Goodman, and Pollard, have analyzed bisexual reproductive systems.
    • Existing analyses often focus on specific marriage functions and may not cover arbitrary birth and death rates.

    Purpose of the Study:

    • To extend and complete analyses of bisexual population dynamics with unbounded marriage functions.
    • To incorporate arbitrary birth and death rates into a deterministic population model.
    • To investigate the conditions leading to exponential population growth/decay and specific sex ratio behaviors.

    Main Methods:

    • Development of a simple, deterministic model for bisexual population dynamics based on marriage.
    • Utilizing three coupled first-order, nonlinear differential equations to describe population changes.

    Related Experiment Videos

  • Classifying solutions based on birth/death rate patterns and analyzing growth/stability properties.

    • Main Results:

    • Identified conditions for a unique, exponential population growth or decay with a finite sex ratio.
    • Demonstrated conditions where the sex ratio asymptotically approaches infinity, diverging from standard Lotka-Volterra models.
    • Highlighted a delicate balance in vital parameters that can lead to self-aggravating sex ratio distortions.

    Conclusions:

    • The model provides insights into the complex interplay between vital rates and sex ratio stability in bisexual populations.
    • Fertility falling below replacement value in a monogamous society can trigger significant, self-aggravating sex ratio imbalances.
    • The findings offer a more nuanced understanding of demographic dynamics beyond linear models.