Strong stochastic persistence of some Lévy-driven Lotka-Volterra systems
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Publication:2074269
DOI10.1007/s00285-022-01714-6zbMath1483.60098OpenAlexW4206342891WikidataQ113905409 ScholiaQ113905409MaRDI QIDQ2074269
Publication date: 8 February 2022
Published in: Journal of Mathematical Biology (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00285-022-01714-6
ecological modelsstrong stochastic persistenceLévy-driven SDEstochastic Lotka-Volterra systemsfood-chains
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Cites Work
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- Stochastic population dynamics driven by Lévy noise
- Lotka-Volterra with randomly fluctuating environments or ``how switching between beneficial environments can make survival harder
- Stochastic stability of differential equations. With contributions by G. N. Milstein and M. B. Nevelson
- Competitive Lotka-Volterra population dynamics with jumps
- Persistence in fluctuating environments
- Persistence in food webs - I. Lotka-Volterra food chains
- A general cooperation theorem for hypercycles
- Asymptotic behaviour of the stochastic Lotka-Volterra model.
- Stochastic Lotka-Volterra food chains
- Coexistence and extinction for stochastic Kolmogorov systems
- On the strong maximum principle for second order nonlinear parabolic integro-differential equations
- Persistence in stochastic Lotka-Volterra food chains with intraspecific competition
- A general theory of coexistence and extinction for stochastic ecological communities
- Stochastic Lotka-Volterra systems with Lévy noise
- Stochastic population dynamics under regime switching
- Asymptotic stability in distribution of stochastic differential equations with Markovian switching.
- Long-time behaviour of a stochastic prey--predator model.
- Stability of Markovian processes II: continuous-time processes and sampled chains
- Stability of Markovian processes III: Foster–Lyapunov criteria for continuous-time processes
- A Method to Deal With the Critical Case in Stochastic Population Dynamics
- Lévy Processes and Stochastic Calculus
- A strong law of large numbers for local martingales
- Stability of Markovian processes I: criteria for discrete-time Chains
- On Harris Recurrence in Continuous Time
- Stochastic Flows and Jump-Diffusions
- An Open-System Approach to Complex Biological Networks
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