Stochastic model of population growth and spread

DOI10.1007/BF02459957zbMath0617.92017OpenAlexW4247785096WikidataQ69118161 ScholiaQ69118161MaRDI QIDQ1088947

S. S. De

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1007/bf02459957

zbMATH Keywords

interactionsFokker-Planck equationLangevin equationsequilibrium solutionsdiffusion modellogistic growthspreadingapproximate expressions of the transition probabilitymany-species populationspace-dependent random population densitiesstochastic processes of Wiener type

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70)

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Asymptotic analysis of a kernel estimator for parabolic SPDE's with time-dependent coefficients. ⋮ A stochastic ecological model ⋮ Asymptotic analysis of a kernel estimator for parabolic stochastic partial differential equations driven by fractional noises ⋮ Estimation of the Hurst and diffusion parameters in fractional stochastic heat equation ⋮ \(p\)-adic semi-Montel spaces and polar inductive limits ⋮ PARAMETER ESTIMATION FOR SPDEs WITH MULTIPLICATIVE FRACTIONAL NOISE

Cites Work

• Random predator-prey interactions in a varying environment: Extinction or survival
• On some abstract stochastic differential equations
• Bifurcation, stability diagrams, and varying diffusion coefficients in reaction-diffusion equations
• Selection under random mutations in stochastic Eigen model
• Bifurcation analysis of nonlinear reaction-diffusion equations. II: Steady state solutions and comparison with numerical simulations
• Bifurcation analysis of nonlinear reaction diffusion equations I. Evolution equations and the steady state solutions
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