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Article overview
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Angular velocity variations and stability of spatially explicit prey-predator systems | Refael Abta
; Nadav M. Shnerb
; | Date: |
12 Dec 2006 | Subject: | Populations and Evolution | Abstract: | The 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 | Services: | Forum | Review | PDF | Favorites |
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