Velocity fluctuations of population fronts propagating into metastable states.

@article{Meerson2011VelocityFO,
  title={Velocity fluctuations of population fronts propagating into metastable states.},
  author={Baruch Meerson and Pavel Vasilievich Sasorov and Yitzhak Kaplan},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  year={2011},
  volume={84 1 Pt 1},
  pages={
          011147
        }
}
The position of propagating population fronts fluctuates because of the discreteness of the individuals and stochastic character of processes of birth, death, and migration. Here we consider a Markov model of a population front propagating into a metastable state, and focus on the weak noise limit. For typical, small fluctuations the front motion is diffusive, and we calculate the front diffusion coefficient. We also determine the probability distribution of rare, large fluctuations of the… CONTINUE READING
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