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Angular velocity variations and stability of spatially explicit prey-predator systems | | Refael Abta
; Nadav M Shnerb
; | | Date: |
30 Apr 2007 | | Journal: | Phys Rev E, 75 (5 Pt 1), 051914 | | 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 enables 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: | PubMed, pmid17677105 | | Other source: | [GID 278282] q-bio/0612021 | | Services: | Forum | Review | Favorites | |
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