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

Periodic solutions for a population dynamics problem with age-dependence and spatial structure.

M Kubo1, M Langlais

  • 1U.F.R. Sciences Humaines Appliquées, UA CNRS 226, Université de Bordeaux II, France.

Journal of Mathematical Biology
|January 1, 1991
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

[A case of desquamative interstitial pneumonia with increased numbers of eosinophils in the bronchoalveolar lavage fluid].

Nihon Kyobu Shikkan Gakkai zasshi·1998
Same author

Prevalence and clinical relevance of 52-kDa and 60-kDa Ro/SS-A autoantibodies in Japanese patients with systemic sclerosis.

Annals of the rheumatic diseases·1998
Same author

[Acute lymphoblastic leukemia complicated by type C hepatitis during treatment and further by acute interstitial pneumonia due to sho-saiko-to in 7-year-old].

Arerugi = [Allergy]·1998
Same author

Effects of pimobendan and its active metabolite, UD-CG 212 Cl, on Ca2+-activated K+ channels in vascular smooth-muscle cells.

Journal of cardiovascular pharmacology·1998
Same author

Studies on kochiae fructus. IV. Anti-allergic effects of 70% ethanol extract and its component, momordin Ic from dried fruits of Kochia scoparia L.

Biological & pharmaceutical bulletin·1997
Same author

Alpha-fetoprotein (AFP) levels in normal children.

European journal of pediatric surgery : official journal of Austrian Association of Pediatric Surgery ... [et al] = Zeitschrift fur Kinderchirurgie·1997

A new linear model demonstrates how periodic population influxes create stable, non-trivial periodic distributions from decaying populations. This model has applications in understanding epidemic dynamics.

Area of Science:

  • Mathematical Biology
  • Population Dynamics
  • Epidemiology

Background:

  • Exponential decay is a common model for population decline.
  • Understanding population stability is crucial for ecological and epidemiological studies.
  • Age-dependence and spatial structure are key factors in population dynamics.

Purpose of the Study:

  • To investigate the effect of periodic individual supply on population distribution.
  • To develop a model that predicts population behavior under specific conditions.
  • To apply the model to an epidemic scenario.

Main Methods:

  • Utilized a linear model incorporating age-dependence and spatial structure.
  • Analyzed the transformation of exponentially decaying population distributions.

Related Experiment Videos

  • Demonstrated the emergence of asymptotically stable periodic distributions.

    • Main Results:

    • Periodic supply of individuals leads to a non-trivial, stable periodic population distribution.
    • The model successfully transforms an exponentially decaying distribution.
    • The findings are applicable to epidemic modeling.

    Conclusions:

    • Periodic influxes can stabilize and create complex population dynamics.
    • The developed model provides insights into population persistence and stability.
    • This approach offers a framework for studying epidemic spread and control.