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Updated: May 15, 2026

A Method of Trigonometric Modelling of Seasonal Variation Demonstrated with Multiple Sclerosis Relapse Data
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Published on: December 9, 2015

How do variations in seasonality affect population cycles?

Rachel A Taylor1, Andrew White, Jonathan A Sherratt

  • 1Department of Mathematics, Heriot-Watt University, Edinburgh, UK. rat3@hw.ac.uk

Proceedings. Biological Sciences
|January 18, 2013
PubMed
Summary
This summary is machine-generated.

Changes in breeding season length significantly alter population cycle periods in Fennoscandian voles. Shorter breeding seasons lead to longer population cycles, impacting ecological dynamics.

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Predicting the Effectiveness of Population Replacement Strategy Using Mathematical Modeling
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Published on: July 4, 2007

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Last Updated: May 15, 2026

A Method of Trigonometric Modelling of Seasonal Variation Demonstrated with Multiple Sclerosis Relapse Data
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Predicting the Effectiveness of Population Replacement Strategy Using Mathematical Modeling
20:36

Predicting the Effectiveness of Population Replacement Strategy Using Mathematical Modeling

Published on: July 4, 2007

Area of Science:

  • Ecology
  • Population Dynamics
  • Mathematical Biology

Background:

  • Seasonality influences population systems, with factors like latitude and altitude modulating seasonal fluctuations.
  • Understanding how changes in seasonal fluctuations affect population cycles is crucial for ecological studies.

Purpose of the Study:

  • To investigate the impact of altered seasonal fluctuations on population cycles.
  • To use the Fennoscandian vole system as a case study, focusing on breeding season length variations.

Main Methods:

  • A predator-prey model incorporating generalist and specialist predation with seasonal forcing was employed.
  • Bifurcation analysis and direct simulations were used to analyze the effects of varying generalist predation and breeding season length.

Main Results:

  • Varying the length of the breeding season directly impacts the period of multi-year population cycles.
  • Shorter breeding season lengths were predicted to result in longer cycle periods.

Conclusions:

  • The study's predictions align with observed periodicity gradients in the Fennoscandian vole system.
  • The findings underscore the importance of considering geographical and temporal seasonality changes in diverse population systems.