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- Otso Ovaskainen, Baruch Meerson
- Trends in ecology & evolution
- 2010

Theoretical ecologists have long sought to understand how the persistence of populations depends on biotic and abiotic factors. Classical work showed that demographic stochasticity causes the meanâ€¦ (More)

- Michael Assaf, Baruch Meerson
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2010

We investigate the phenomenon of extinction of a long-lived self-regulating stochastic population, caused by intrinsic (demographic) noise. Extinction typically occurs via one of two scenariosâ€¦ (More)

- Michael Assaf, Baruch Meerson
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2006

We develop a spectral formulation and a stationary WKB approximation for calculating the probabilities of rare events (large deviations from the mean) in systems of reacting particles withâ€¦ (More)

- Alex Kamenev, Baruch Meerson
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2008

We develop a theory of first passage processes in stochastic nonequilibrium systems of birth-death type using two closely related epidemiological models as examples. Our method employs theâ€¦ (More)

- Michael Assaf, Baruch Meerson
- Physical review letters
- 2006

We suggest a general spectral method for calculating the statistics of multistep birth-death processes and chemical reactions of the type mA-->nA (m and n are positive integers) which possess anâ€¦ (More)

- Baruch Meerson, Pavel V. Sasorov
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2009

Stochastic effects may cause "fade-out" of an infectious disease in a population immediately after an epidemic outbreak. We evaluate the epidemic fade-out probability by a WKB method and find thatâ€¦ (More)

- Baruch Meerson, Pavel V. Sasorov, Yitzhak Kaplan
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2011

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 Markovâ€¦ (More)

- Alex Kamenev, Baruch Meerson, B. I. Shklovskii
- Physical review letters
- 2008

Environmental noise can cause an exponential reduction in the mean time to extinction (MTE) of an isolated population. We study this effect on an example of a stochastic birth-death process withâ€¦ (More)

- Michael Assaf, Baruch Meerson
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2007

We apply the spectral method, recently developed by the authors, to calculate the statistics of a reaction-limited multistep birth-death process, or chemical reaction, that includes as elementaryâ€¦ (More)

- Oleg Kogan, Michael Khasin, Baruch Meerson, David J. Schneider, Christopher R. Myers
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2014

We develop a perturbation method for studying quasineutral competition in a broad class of stochastic competition models and apply it to the analysis of fixation of competing strains in two epidemicâ€¦ (More)