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29 March 2024
 
  » arxiv » q-bio/0612021

 Article overview


Angular velocity variations and stability of spatially explicit prey-predator systems
Refael Abta ; Nadav M. Shnerb ;
Date 12 Dec 2006
Subject Populations and Evolution
AbstractThe linear instability of Lotka-Volterra orbits in the homogenous manifold of a two-patch system is analyzed. The origin of these orbits instability in the absence of prey migration is revealed to be the dependence of the angular velocity on the azimuthal angle; in particular, the system desynchronizes at the exit from the slow part of the trajectory. Using this insight, an analogous model of a two coupled oscillator is presented and shown to yield the same type of linear instability. This unables one to incorporate the linear instability within a recently presented general framework that allows for comparison of all known stabilization mechanisms and for simple classification of observed oscillations.
Source arXiv, q-bio/0612021
Other source [GID 278282] pmid17677105
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