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Intraguild predation with evolutionary dispersal in a spatially heterogeneous environment.

Wonhyung Choi1, Seunghyeon Baek2, Inkyung Ahn3

  • 1Department of Mathematics, Korea University, 145, Anam-ro, Seoul, 02841, Korea.

Journal of Mathematical Biology
|February 20, 2019
PubMed
Summary

Starvation-driven diffusion, a nonuniform dispersal strategy, enhances species fitness in varied habitats. This movement strategy improves survival by enabling species to seek resources in heterogeneous environments.

Keywords:
CoexistenceEvolution of dispersalIntraguild predationLinear stability/instabilityStarvation-driven diffusion

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Area of Science:

  • Ecology
  • Mathematical Biology
  • Population Dynamics

Background:

  • Species motility is influenced by habitat conditions and resource availability.
  • Insufficient resources can increase species motility as they search for food.

Purpose of the Study:

  • To investigate the impact of nonuniform random dispersal, termed starvation-driven diffusion, on species fitness in heterogeneous environments.
  • To analyze a Lotka-Volterra model incorporating starvation-driven diffusion for intraguild predation (IGP).

Main Methods:

  • Developed and analyzed a Lotka-Volterra-type model with nonuniform random dispersal.
  • Employed eigenvalue analysis of semi-trivial steady state solutions for the linearized operator.
  • Investigated models for both IGPrey and IGPredator.

Main Results:

  • Nonuniform random dispersal, or starvation-driven diffusion, was shown to increase species fitness.
  • The model demonstrated how local habitat conditions influence dispersal and, consequently, fitness.
  • Eigenvalue analysis confirmed the positive effect of nonuniform dispersal on species survival.

Conclusions:

  • Starvation-driven diffusion is a beneficial adaptation for species in spatially heterogeneous environments.
  • Nonuniform dispersal strategies can enhance the overall fitness and survival rates of species.
  • The study provides a mathematical framework for understanding the ecological implications of adaptive dispersal.