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Analysis of Asymptotic and Transient Behaviors of Stochastic Ratio-Dependent Predator–Prey Model

https://doi.org/10.3390/math9212776
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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1002/9781119541219openalex-snapshot
Matrix Differential Calculus with Applications in Statistics and Econometrics
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Non-equilibrium fluctuation in Volterra-Lotka systems
inferredcites →https://doi.org/10.1007/s002850000078openalex-snapshot
Parametric analysis of the ratio-dependent predator-prey model
inferredcites →https://doi.org/10.1007/s002850050162openalex-snapshot
Effects of environmental fluctuation on plankton allelopathy
inferredcites →https://doi.org/10.1016/j.cam.2010.08.021openalex-snapshot
Qualitative analysis of a stochastic ratio-dependent predator–prey system
inferredcites →https://doi.org/10.1016/j.jaa.2019.101068openalex-snapshot
Long-term dynamics of pastoral ecology in northern Kenya: An old model for new resilience
inferredcites →https://doi.org/10.1016/j.jtbi.2017.01.036openalex-snapshot
Impact of seasonal forcing on reactive ecological systems
inferredcites →https://doi.org/10.1016/j.tpb.2010.03.004openalex-snapshot
What makes ecological systems reactive?
inferredcites →https://doi.org/10.1016/j.tree.2010.07.011openalex-snapshot
Rising to the challenge of sustaining coral reef resilience
inferredcites →https://doi.org/10.1016/s0022-5193(89)80211-5openalex-snapshot
Coupling in predator-prey dynamics: Ratio-Dependence
inferredcites →https://doi.org/10.1038/268329a0openalex-snapshot
Number of trophic levels in ecological communities
inferredcites →https://doi.org/10.1088/0951-7715/18/2/022openalex-snapshot
Ratio-dependent predator–prey model: effect of environmental fluctuation and stability
inferredcites →https://doi.org/10.1111/sapm.12382openalex-snapshot
Dynamics of the predator–prey model with the Sigmoid functional response
inferredcites →https://doi.org/10.1137/120893859openalex-snapshot
Asymptotic and Transient Mean-Square Properties of Stochastic Systems Arising in Ecology, Fluid Dynamics, and System Control
inferredcites →https://doi.org/10.1142/s0218339003000816openalex-snapshot
DETERMINISTIC AND STOCHASTIC ANALYSIS OF A NONLINEAR PREY-PREDATOR SYSTEM
inferredcites →https://doi.org/10.1142/s1793557117500024openalex-snapshot
Global dynamics of a stochastic ratio-dependent predator–prey system
inferredcites →https://doi.org/10.1155/2012/857134openalex-snapshot
Dynamical Behavior of a Stochastic Ratio‐Dependent Predator‐Prey System
inferredcites →https://doi.org/10.1890/0012-9658(1997)078[0653:atrfmt]2.0.co;2openalex-snapshot
ALTERNATIVES TO RESILIENCE FOR MEASURING THE RESPONSES OF ECOLOGICAL SYSTEMS TO PERTURBATIONS
inferredcites →https://doi.org/10.22436/jmcs.025.02.04openalex-snapshot
Predator-prey dynamics with Allee effect on predator species subject to intra-specific competition and nonlinear prey refuge
inferredcites →https://doi.org/10.5751/es-03610-150420openalex-snapshot
Resilience Thinking: Integrating Resilience, Adaptability and Transformability

What points at this work

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Stochastic asymptotical stability of the predator-free and positive equilibrium for food chain model with vigilance under stochastic perturbations
inferred← citeshttps://doi.org/10.1063/5.0303938openalex-snapshot
Computing resilience measures in dynamical systems
inferred← citeshttps://doi.org/10.1140/epjp/s13360-022-03429-5openalex-snapshot
Transient indicator of exploited communities at equilibrium in generalist predator–prey models
inferred← citeshttps://doi.org/10.1140/epjp/s13360-023-03824-6openalex-snapshot
Transient and asymptotic dynamics of Bazykin’s prey-predator model on managing reactivity, resilience, and maximum sustainable yield
inferred← citeshttps://doi.org/10.1155/2023/4977217openalex-snapshot
Transient Dynamics of a Food Chain Model with Vigilance in the Biparameter Spaces
inferred← citeshttps://doi.org/10.21203/rs.3.rs-3216834/v1openalex-snapshot
MS-stability of the predator-free and positive equilibria for food chain model with vigilance under stochastic perturbations
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