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Seasonal forcing in a host-macroparasite system.

Rachel A Taylor1, Andrew White1, Jonathan A Sherratt1

  • 1Department of Mathematics, Heriot-Watt University, Edinburgh, UK.

Journal of Theoretical Biology
|December 3, 2014
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Summary

Seasonal forcing significantly impacts host-macroparasite dynamics, leading to complex population cycles and varied behaviors like chaos. This research highlights seasonality

Keywords:
BifurcationNematode parasitePopulation cyclesRed grouseSeasonality

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Area of Science:

  • Ecology
  • Mathematical Biology
  • Parasitology

Background:

  • Seasonal environmental variability is a key driver in ecological systems.
  • While understood in host-microparasite systems, its role in host-macroparasite interactions remains less explored.
  • Macroparasitic infections, involving larger parasites, present unique ecological dynamics.

Purpose of the Study:

  • To analyze the impact of seasonal forcing on a general host-macroparasite system.
  • To investigate the influence of the parasite's larval stage and host birth rate seasonality.
  • To understand the complex dynamics arising from seasonal environmental changes in host-parasite relationships.

Main Methods:

  • Developed a general host-macroparasite model incorporating seasonal forcing.
  • Applied seasonal forcing to the host's birth rate.
  • Analyzed the system's dynamics, focusing on the period of limit cycles in the unforced system.

Main Results:

  • Seasonal forcing can induce multi-year cycles, multiple solutions, quasi-periodicity, and chaos in host-macroparasite systems.
  • These systems exhibit greater potential for multiple solutions and a wider range of periodic behaviors than microparasite systems.
  • Model parameters for red grouse and Trichostrongylus tenuis demonstrate seasonality's role in explaining observed abundance cycle variations.

Conclusions:

  • Seasonal forcing is a critical factor in host-macroparasite population dynamics.
  • The study provides a framework for understanding complex ecological patterns driven by seasonality.
  • Findings suggest seasonality could explain variations in red grouse population cycles.