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A two-patch prey-predator model with predator dispersal driven by the predation strength.

Yun Kang1, Sourav Kumar Sasmal, Komi Messan

  • 1Sciences and Mathematics Faculty, College of Integrative Sciences and Arts, Arizona State University, Mesa, AZ 85212, United States.

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Summary
This summary is machine-generated.

Predator movement in prey-predator systems significantly impacts population dynamics and spatial organization. This study models predator dispersal, revealing it can stabilize or destabilize systems, create multiple equilibria, or lead to extinction.

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Area of Science:

  • Ecology
  • Mathematical Biology
  • Population Dynamics

Background:

  • Predator foraging movements are key to prey-predator system dynamics and spatial self-organization.
  • Immobile prey and mobile predators exhibiting non-random dispersal based on prey concentration are common in nature.

Purpose of the Study:

  • To formulate and analyze a Rosenzweig-MacArthur prey-predator model with predator-only mobility.
  • To investigate how predator dispersal strategies influence system stability, equilibria, and persistence.

Main Methods:

  • Formulation of a two-patch Rosenzweig-MacArthur model with predator mobility.
  • Comprehensive local and global stability analysis.
  • Bifurcation analysis to explore dynamics.

Main Results:

  • Predator dispersal can either stabilize or destabilize the prey-predator system.
  • Dispersal can lead to multiple interior equilibria, bistable dynamics, or predator extinction.
  • Large dispersal rates can promote system permanence under specific conditions.

Conclusions:

  • Predator dispersal is a critical factor shaping prey-predator dynamics and spatial patterns.
  • The model provides insights into how dispersal strategies affect ecological stability and persistence.
  • Comparison with classic models highlights the unique impacts of predator-biased dispersal.