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Modelling density-dependent resistance in insect-pathogen interactions.

K A White1, K Wilson

  • 1Department of Mathematical Sciences, University of Bath, Bath, BA2 7AY, United Kingdom. kajw@maths.bath.ac.uk

Theoretical Population Biology
|November 2, 1999
PubMed
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A mathematical model shows that host resistance to disease can stabilize host-pathogen interactions. Density-dependent resistance can stabilize unstable dynamics, but may lead to bistable outcomes influencing pest management strategies.

Area of Science:

  • Mathematical modeling
  • Ecology
  • Epidemiology

Background:

  • Host-pathogen interactions are crucial in population dynamics.
  • Insect populations often exhibit discrete generations and density-dependent traits.
  • Noctuid moth-baculovirus interactions show increased pathogen resistance with larval density.

Purpose of the Study:

  • To develop a discrete-time mathematical model for host-pathogen dynamics.
  • To investigate the impact of density-dependent host resistance on population stability.
  • To explore implications for agricultural pest management and biocontrol.

Main Methods:

  • A discrete-time mathematical model was formulated.
  • The model incorporates susceptible and resistant host populations.

Related Experiment Videos

  • Analysis focused on density-dependent and density-independent resistance mechanisms.

    • Main Results:

    • Inclusion of a resistant class can stabilize unstable host-pathogen dynamics.
    • Density-independent resistance provides the greatest population regulation.
    • Density-dependent resistance can stabilize dynamics if the effect is small, potentially leading to bistable outcomes.
    • No cost of resistance predicts stable, periodic outbreaks.

    Conclusions:

    • Host resistance, particularly density-dependent, can significantly alter host-pathogen dynamics.
    • Understanding resistance mechanisms is critical for effective biocontrol strategies.
    • Further research is needed to address model limitations and ecological interpretations.