A. Agranovich

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The dynamics of birth-death processes with extinction points that are unstable in the deterministic average description has been extensively studied, mainly in the context of the stochastic transition from the mean-field attracting fixed point to the absorbing state. Here we study the opposite case of a small perturbation from the zero-population absorbing(More)
We obtain assertions about possible sizes of zones of positivity of solutions to functional equations. Our approach is based on theorems about estimates of the spectral radius. Simple coefficient tests are proposed. The method to compare only one component of the solution vector of linear functional di erential systems, which does not require heavy sign(More)
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