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How directional mobility affects coexistence in rock-paper-scissors models.

P P Avelino1,2, D Bazeia3, L Losano3

  • 1Instituto de Astrofísica e Ciências do Espaço, Universidade do Porto, CAUP, Rua das Estrelas, PT4150-762 Porto, Portugal.

Physical Review. E
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Summary
This summary is machine-generated.

This study introduces directional mobility into a rock-paper-scissors model, simulating sensory-guided movement. This innovation reduces the likelihood of species coexistence, impacting ecological dynamics.

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Area of Science:

  • Ecology
  • Mathematical Biology
  • Population Dynamics

Background:

  • The rock-paper-scissors game is a classic model for studying species interactions and coexistence.
  • Traditional models often assume random or simple mobility patterns.
  • Understanding how complex behaviors influence ecological dynamics is crucial.

Purpose of the Study:

  • To investigate the impact of directional mobility on the coexistence of three competing species.
  • To introduce a novel mobility rule simulating sensory perception (e.g., sight, smell) into ecological models.
  • To analyze how this directional movement affects population dynamics and stability.

Main Methods:

  • A mathematical model based on the rock-paper-scissors game was developed.
  • A new rule for directional mobility was implemented, where individuals move towards higher densities of their targets.
  • Simulations were performed to observe population changes over time under varying conditions.

Main Results:

  • Directional mobility significantly alters the conditions for species coexistence.
  • The introduction of directional movement was shown to decrease the probability of all three species coexisting.
  • Specific patterns of spatial segregation and population fluctuations emerged due to directed movement.

Conclusions:

  • Directional mobility, inspired by sensory perception, can destabilize ecological systems and reduce species coexistence.
  • This finding highlights the importance of incorporating realistic behavioral rules into ecological models.
  • The study provides new insights into the spatial dynamics of competing populations.