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Host-pathogen systems in a spatially patchy environment

A White1, M Begon, R G Bowers

  • 1Department of Applied Mathematics and Theoretical Physics, University of Liverpool, U.K.

Proceedings. Biological Sciences
|March 22, 1996
PubMed
Summary
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This study models host-pathogen dynamics in connected patches, revealing that low pathogen loss increases extinction risk. It also identifies a novel radial wave pattern and intermittent dynamics between spatial patterns.

Area of Science:

  • Ecology
  • Mathematical Biology
  • Epidemiology

Background:

  • Host-pathogen systems exhibit complex spatial-temporal dynamics.
  • Metapopulation models are crucial for understanding species survival and spread.
  • Coupled map lattices offer a framework for studying spatially extended systems.

Purpose of the Study:

  • To develop a discrete model for host-pathogen dynamics across a landscape of interconnected patches.
  • To investigate the impact of dispersal and pathogen loss on metapopulation persistence.
  • To identify novel spatial patterns and dynamic behaviors in host-pathogen systems.

Main Methods:

  • Development of a discrete, n x n patch model for host-pathogen interactions.
  • Incorporation of between-generation dispersal to neighboring patches.

Related Experiment Videos

  • Analysis using algorithmic complexity and spectral analysis of temporal dynamics.
  • Main Results:

    • Increased metapopulation extinction likelihood with low pathogen loss.
    • Observation of a previously unreported radial wave pattern propagating from a central focus.
    • Identification of 'intermittency' between spiral and radial wave spatial patterns.

    Conclusions:

    • Spatial structure significantly influences metapopulation behavior in host-pathogen systems.
    • Low pathogen loss can paradoxically increase extinction risk.
    • The model reveals novel dynamics, including radial waves and intermittent pattern switching.