Stochastic Delay Lotka-Volterra Model
By Bao-sheng Lian, Shigeng Hu, Fen Yang. 2011
95 citations recorded by the source corpus.
This paper examines the asymptotic behaviour of the stochastic extension of a fundamentally important population process, namely the delay Lotka-Volterra model. The stochastic version of this process appears to have some intriguing properties such as pathwise estimation and asymptotic moment estimation. Indeed, their solutions will be stochastically ultimately bounded.
Subfields: Genetics, Modeling and Simulation, Public Health, Environmental and Occupational Health
View Paper: https://www.semanticscholar.org/paper/d5031c3af33589f9bbfb247806d432502f5e7a7f
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In Genetics
In Modeling and Simulation
In Public Health, Environmental and Occupational Health
Citations in the corpus
- Sufficient and necessary conditions of stochastic permanence and extinction for stochastic logistic populations under regime switching (2011, background): “Recently many authors have discussed population systems subject to white noise (see [2–12]).”
- Population dynamical behavior of non-autonomous Lotka-Volterra competitive system with random perturbation (2009, background): “[5, 6, 23] but for the completeness of the paper we will give it in Appendix A.”
- Coexistence and exclusion of stochastic competitive Lotka–Volterra models (2016, methodology): “oundary and those in the interior is much more dicult. This deserves more careful thoughts and consideration. Recently, stochastic ecosystems with delay have also been studied intensively (see e.g., [1, 23] and references therein). Although the main idea of this paper may work with delay systems, it”