On competitive Lotka-Volterra model in random environments
By Chao Zhu, George Yin. 2009
258 citations recorded by the source corpus.
Subfields: Genetics, Public Health, Environmental and Occupational Health, Sociology and Political Science
View Paper: https://www.semanticscholar.org/paper/3313aea6dea5a06ceb5735b0fce965dfb03e7d45
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Citations in the corpus
- Coexistence and exclusion of stochastic competitive Lotka–Volterra models (2016, background): “General Lotka-Volterra models perturbed by white noise have been studied in [6, 11, 14, 16, 17], while the authors in [21, 26, 31, 32] go further by considering the effect of both white and colored noises to the Lotka-Volterra models.”
- Persistence and extinction in stochastic non-autonomous logistic systems (2011, unknown): “The studies [9–13] are the former type while the investigations [14–23] are the latter case.”
- Jump type stochastic differential equations with non-Lipschitz coefficients: Non-confluence, Feller and strong Feller properties, and exponential ergodicity (2017, background): “Furthermore, by virtue of Zhu et al. (2015), we have E[supt∈[0,T ] |Y (t)|2] ≤ K, where K is a positive constant independent of t0 and R.”
- Stochastic Population Dynamics Driven by Levy Noise (2011, methodology): “functional Kolmogorov-type systems [11, 12]; hybrid competitive Lotka-Volterra models in [8, 13, 14, 15].”
- Competitive Lotka–Volterra population dynamics with jumps (2011, background): “, [15,16].”
- Stochastic Lotka–Volterra systems with Lévy noise (2014, background): “[2,6–8,10,12,14–17,19–21]).”