Population extinction in a time-modulated environment

Details Population extinction in a time-modulated environment Population extinction in a time-modulated environment

2008-07-30

arxiv.org/abs/0807.4812v2

Physics

Condensed Matter

Statistical Mechanics

13 pages, 10 figures

Scientific paper

10.1103/PhysRevE.78.041123

The extinction time of an isolated population can be exponentially reduced by a periodic modulation of its environment. We investigate this effect using, as an example, a stochastic branching-annihilation process with a time-dependent branching rate. The population extinction is treated in eikonal approximation, where it is described as an instanton trajectory of a proper reaction Hamiltonian. The modulation of the environment perturbs this trajectory and synchronizes it with the modulation phase. We calculate the corresponding change in the action along the instanton using perturbation techniques supported by numerical calculations. The techniques include a first-order theory with respect to the modulation amplitude, a second-order theory in the spirit of the Kapitsa pendulum effect, and adiabatic theory valid for low modulation frequencies.

Affiliated with

Also associated with

No associations

Rating

Population extinction in a time-modulated environment 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 Population extinction in a time-modulated environment, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Population extinction in a time-modulated environment will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-259400