Equilibrium and extinction in stochastic population dynamics

DOI10.1007/BF02481767zbMath0638.92016OpenAlexW2577129114MaRDI QIDQ1099808

H. Roozen

Publication date: 1987

Published in: Bulletin of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02481767

zbMATH Keywords

diffusion approximationGaussian distributionstochastic stabilitysimulationsstable fixed pointstationary densityconfidence regionsray methodexit timesextinction timeforward equationgeneralized Lotka-Volterra systemStability conditionsinteracting biological populationsdeterministic systemExit pointsnumerical solution of ray equationsquasi-stationary statesmall parameter asymptoticsstochastic population systemsstochastic two-population model

Mathematics Subject Classification ID

Applications of branching processes (60J85) Population dynamics (general) (92D25) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70) Computational methods for problems pertaining to biology (92-08)

Related Items (5)

Asymptotic analysis of nonlinear systems with small stochastic perturbations ⋮ Stochastic sensitivity analysis of noise-induced extinction in the Ricker model with delay and allee effect ⋮ Stochastic three species systems ⋮ Extinction times and size of the surviving species in a two-species competition process ⋮ On the number of births and deaths during an extinction cycle, and the survival of a certain individual in a competition process

Cites Work

• Handbook of stochastic methods for physics, chemistry and the natural sciences
• The parabolic differential equations and the associated semigroups of transformation
• An Asymptotic Theory of Large Deviations for Markov Jump Processes
• Persistence of Dynamical Systems under Random Perturbations
• The Exit Problem for Randomly Perturbed Dynamical Systems
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