Equilibrium and extinction in stochastic population dynamics
DOI10.1007/BF02481767zbMath0638.92016OpenAlexW2577129114MaRDI QIDQ1099808
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
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
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)
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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