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 simple parasite model with complicated dynamics

M G Roberts1, J A Heesterbeek

  • 1AgResearch, Animal Health Division, Wallaceville Animal Research Centre, Upper Hutt, New Zealand. robertsm@agresearch.cri.nz

Journal of Mathematical Biology
|October 24, 1998
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

Infection thresholds for two interacting pathogens in a wild animal population.

Mathematical biosciences·2024
Same author

How immune dynamics shape multi-season epidemics: a continuous-discrete model in one dimensional antigenic space.

Journal of mathematical biology·2024
Same author

Infection dynamics in ecosystems: on the interaction between red and grey squirrels, pox virus, pine martens and trees.

Journal of the Royal Society, Interface·2021
Same author

Combining mutation and horizontal gene transfer in a within-host model of antibiotic resistance.

Mathematical biosciences·2021
Same author

Characterizing reservoirs of infection and the maintenance of pathogens in ecosystems.

Journal of the Royal Society, Interface·2020
Same author

A simple influenza model with complicated dynamics.

Journal of mathematical biology·2018
Same journal

Discrete-time exploitative competition model of different stage-specific predators.

Journal of mathematical biology·2026
Same journal

Spatiotemporal SEIQR Epidemic Modeling with Optimal Control for Vaccination, Treatment, and Social Measures.

Journal of mathematical biology·2026
Same journal

Phenotypic plasticity trade-offs in an age-structured model of bacterial growth under stress.

Journal of mathematical biology·2026
Same journal

Intraspecific interactions facilitate mutualism across multilayer networks under weak selection.

Journal of mathematical biology·2026
Same journal

A two-species competition model on a compact metric graph for the invasion and competition of Aedes Aegypti and Aedes Albopictus mosquitoes in Florida.

Journal of mathematical biology·2026
Same journal

Superinfection and the hypnozoite reservoir for Plasmodium vivax: a multitype branching process approximation.

Journal of mathematical biology·2026
See all related articles

Sheep develop immunity to parasites over their first year while grazing. Mathematical models show parasite control can shift sheep parasite dynamics from stable to fluctuating patterns.

Area of Science:

  • Veterinary Parasitology
  • Mathematical Biology
  • Ecology

Background:

  • Sheep acquire parasites through grazing during their first year of life.
  • Simultaneously, sheep develop natural immunity to these infections.
  • New, non-immune lambs are introduced annually to contaminated pastures.

Purpose of the Study:

  • To model the dynamics of parasite infection and immunity in sheep populations.
  • To analyze the long-term effects of parasite control strategies on these dynamics.

Main Methods:

  • Utilizing differential equations to describe within-year parasite-host dynamics.
  • Employing a difference equation to model between-year population dynamics.
  • Analyzing a specific two-parameter model to identify different dynamic regimes.

Related Experiment Videos

Main Results:

  • Identified regions in parameter space leading to periodic (between-year) or aperiodic population dynamics.
  • Demonstrated that parasite control interventions can alter system stability.
  • Showcased the potential for control schemes to induce complex, long-term fluctuations in parasite levels.

Conclusions:

  • Parasite control strategies can significantly impact sheep parasite dynamics.
  • Stable equilibria can transition to complex, fluctuating patterns under certain control scenarios.
  • Mathematical modeling provides insights into managing parasite infections in livestock.