Volterra-Verhulst prey-predator systems with time dependent coefficients: Diffusion type approximation and periodic solutions

DOI10.1007/BF02460881zbMath0397.92021OpenAlexW4250095425MaRDI QIDQ1254032

K. Appert

Publication date: 1979

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

Full work available at URL: https://doi.org/10.1007/bf02460881

zbMATH Keywords

Periodic SolutionsDiffusion Type ApproximationGaussian PerturbationsPrey-Predator SystemsTime Dependent CoefficientsVolterra-Verhulst

Mathematics Subject Classification ID

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

Related Items (2)

Forced prey-predator oscillations ⋮ Upper bound on the rate of convergence and truncation bound for non-homogeneous birth and death processes on \(\mathbb{Z} \)

Cites Work

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• On some Markov models of certain interacting populations
• On Transforming a Certain Class of Stochastic Processes by Absolutely Continuous Substitution of Measures
• On a Transformation of Systems of Stochastic Differential Equations
• On a stochastic differential equation modeling of prey-predator evolution
• Asymptotic analysis of transport processes
• On the growth of stochastic integrals

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