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arxiv: 1604.02295 · v1 · pith:NCJ7Z3SAnew · submitted 2016-04-08 · 🧮 math.PR

Nonlinearly Perturbed Birth-Death-Type Models

classification 🧮 math.PR
keywords modelsbirth-death-typenonlinearlyperturbedpopulationapplicationsasymptoticconditional
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Asymptotic expansions for stationary and conditional quasi-stationary distributions of nonlinearly perturbed birth-death-type semi-Markov models are presented. Applications to models of population growth, epidemic spread and population genetics are discussed.

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