Abstract
Population explosions in systems with birth-death processes are studied. The author shows that the fluctuations in local birth and death rates are strongly enhanced by the exploding system and thus the intermittent spatial distribution of the reproducing particles is formed. It is characterized by presence of strong bursts separated by large areas with low population density. The author estimates the probability of such rare bursts and find their typical forms. The analysis reveals a close mathematical relationship between the bursts and the solitons of the nonlinear Schrodinger equation.
Full Text
Published Version
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call