Coexistence for a kind of stochastic three-species competitive models

DOI10.1515/math-2019-0110OpenAlexW2989346118MaRDI QIDQ2111691

Jiabing Huang, Nantian Huang, Yuming Wei, Yongjian Liu

Publication date: 17 January 2023

Published in: Open Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/math-2019-0110

zbMATH Keywords

ergodicitycoexistenceenvironmental noisenon-linear diffusionthree-species competitive model

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Applications of stochastic analysis (to PDEs, etc.) (60H30)

Related Items (1)

Population dynamical behaviors of jellyfish model with random perturbation

Cites Work

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• Global dynamics for Lotka-Volterra systems with infinite delay and patch structure
• The coexistence of a stochastic Lotka-Volterra model with two predators competing for one prey
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• Population dynamical behavior of Lotka-Volterra system under regime switching
• Survival and stationary distribution analysis of a stochastic competitive model of three species in a polluted environment
• Asymptotic behaviour of the stochastic Lotka-Volterra model.
• Limit cycles for the competitive three dimensional Lotka-Volterra system
• Periodic solution for a stochastic non-autonomous competitive Lotka-Volterra model in a polluted environment
• Environmental Brownian noise suppresses explosions in population dynamics.
• Hopf bifurcations in competitive three-dimensional Lotka–Volterra systems
• Ann-dimensional competitive Lotka Volterra system is generically determined by the edges of its carrying simplex
• Geometry of carrying simplices of 3-species competitive Lotka–Volterra systems
• Ergodic Properties of Markov Processes

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