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Multiple coexistence equilibria in a two parasitoid-one host model.

Ferdinand Pfab1, Odo Diekmann2, Souvik Bhattacharya1

  • 1Department of Mathematics, University of Trento, Italy.

Theoretical Population Biology
|November 22, 2016
PubMed
Summary
This summary is machine-generated.

Coexistence of two parasitoids attacking a single host is possible with variable maturation delays. This study reveals that stable coexistence doesn't always require mutual invasibility, challenging previous host-parasitoid model assumptions.

Keywords:
Delay differential equationsMultiplicity of coexistence equilibriaParasitoid–host interactionPopulation dynamics

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Area of Science:

  • Ecology
  • Population Dynamics
  • Mathematical Biology

Background:

  • The Briggs et al. (1993) host-parasitoid model explored coexistence of two parasitoids attacking different host juvenile stages.
  • Their initial findings suggested that significant variability in host maturation delays was crucial for parasitoid coexistence.

Purpose of the Study:

  • To conduct a deeper analysis of parasitoid coexistence within the Briggs et al. (1993) model.
  • To investigate the impact of different distribution families for host maturation delays on coexistence equilibria.
  • To determine if mutual invasibility is a necessary condition for stable coexistence.

Main Methods:

  • Mathematical modeling of host-parasitoid interactions.
  • Analysis of equilibrium points under varying distribution families for maturation delays.
  • Investigation of stability conditions for coexistence equilibria.

Main Results:

  • The number of coexistence equilibria (unique or multiple) depends on the chosen distribution family for maturation delays.
  • Stable coexistence was demonstrated to be possible even without the condition of mutual invasibility.
  • This finding expands the understanding of ecological coexistence mechanisms.

Conclusions:

  • The dynamics of host-parasitoid systems are sensitive to the statistical properties of maturation delays.
  • The requirement of mutual invasibility for stable coexistence may not be universally applicable in host-parasitoid models.
  • Further research into the role of delay variability in ecological models is warranted.