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Stochastic Lotka-Volterra food chains (Q1644590)

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Language	Label	Description	Also known as
English	Stochastic Lotka-Volterra food chains	scientific article

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scholarly article

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Stochastic Lotka-Volterra food chains (English)

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zbMATH Open document ID

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10.1007/s00285-017-1192-8

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Alexandru Hening

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Journal of Mathematical Biology

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publication date

21 June 2018

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full work available at URL

https://arxiv.org/abs/1703.04809

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Mathematics Subject Classification ID

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zbMATH DE Number

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zbMATH Keywords

Lotka-Volterra

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persistence

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extinction

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Lyapunov exponent

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stochastic environment

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predator-prey

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degenerate noise

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MaRDI profile type

MaRDI publication profile

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Coexistence in locally regulated competing populations and survival of branching annihilating random walk

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Quasi-stationary distributions and diffusion models in population dynamics

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Robust permanence and impermanence for stochastic replicator dynamics

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Lotka-Volterra with randomly fluctuating environments or ``how switching between beneficial environments can make survival harder''

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Stochastic population growth in spatially heterogeneous environments

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Persistence of structured populations in random environments

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Random environments and stochastic calculus

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General theory of competitive coexistence in spatially-varying environments.

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Competitive or weak cooperative stochastic Lotka-Volterra systems conditioned on non-extinc\-tion

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A piecewise deterministic model for a prey-predator community

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Protection Zones for Survival of Species in Random Environment

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Dynamics of Kolmogorov systems of competitive type under the telegraph noise

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Classification of Asymptotic Behavior in a Stochastic SIR Model

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Conditions for permanence and ergodicity of certain stochastic predator–prey models

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Protected polymorphisms and evolutionary stability of patch-selection strategies in stochastic environments

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Global stability and persistence of simple food chains

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Persistence in food chains with general interactions

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Persistence in stochastic food web models

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Persistence in food webs - I. Lotka-Volterra food chains

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Comparison theorems for stochastic differential equations in finite and infinite dimensions

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Global stability in Lotka-Volterra systems with diffusion

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Coexistence and extinction for stochastic Kolmogorov systems

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Persistence in stochastic Lotka-Volterra food chains with intraspecific competition

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Stochastic population growth in spatially heterogeneous environments: the density-dependent case

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Analysis of a stochastic tri-trophic food-chain model with harvesting

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Stochastic population dynamics under regime switching. II

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The inverse of a tridiagonal matrix

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Effect of parity on productivity and sustainability of Lotka-Volterra food chains

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Existence of stationary distributions for Kolmogorov systems of competitive type under telegraph noise

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Certain properties related to well posedness of switching diffusions

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Invariant distributions for multi-population models in random environments

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Ergodic Properties of Markov Processes

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Long-time behaviour of a stochastic prey--predator model.

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Persistence in fluctuating environments

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Persistence for stochastic difference equations: a mini-review

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Evolution of predator-prey systems described by a Lotka-Volterra equation under random environment

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Mathematics(1 entry)

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