Existence, uniqueness and global asymptotic stability of positive solutions of a predator-prey system with Holling II functional response with random perturbation
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Publication:2474842
DOI10.1016/j.na.2007.01.008zbMath1143.34033OpenAlexW2074832369WikidataQ115568824 ScholiaQ115568824MaRDI QIDQ2474842
Publication date: 6 March 2008
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.na.2007.01.008
Population dynamics (general) (92D25) Ordinary differential equations and systems with randomness (34F05) Global stability of solutions to ordinary differential equations (34D23)
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Cites Work
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- Stochastic versions of the LaSalle theorem
- Environmental Brownian noise suppresses explosions in population dynamics.
- A note on nonautonomous logistic equation with random perturbation
- Stochastic delay Lotka--Volterra model
- Stability and delays in a predator-prey system
- Stochastic stabilisation of functional differential equations
- Exchange of equilibria in two species Lotka-Volterra competition models
- Periodic solutions of a periodic delay predator-prey system
- Periodicity in a delayed ratio-dependent predator-prey system