Angular velocity variations and stability of spatially explicit prey-predator systems

Details Angular velocity variations and stability of spatially explicit prey-predator systems Angular velocity variations and stability of spatially explicit prey-predator systems

2006-12-12

arxiv.org/abs/q-bio/0612021v1

Biology

Quantitative Biology

Populations and Evolution

Scientific paper

10.1103/PhysRevE.75.051914

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.

Affiliated with

Also associated with

No associations

Rating

Angular velocity variations and stability of spatially explicit prey-predator systems does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Angular velocity variations and stability of spatially explicit prey-predator systems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Angular velocity variations and stability of spatially explicit prey-predator systems will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-118256