Coexistence and exclusion of competitive Kolmogorov systems with semi-Markovian switching
type: Item
instance of: scholarly article
title: Coexistence and exclusion of competitive Kolmogorov systems with semi-Markovian switching
zbMATH Open document ID: 1482.60120
author: Dan Li
author: Hui Wan
published in: Discrete and Continuous Dynamical Systems
publication date: 2021-06-08T00:00:00Z
Mathematics Subject Classification ID: 60K15
Mathematics Subject Classification ID: 37A30
Mathematics Subject Classification ID: 34F05
Mathematics Subject Classification ID: 92D25
zbMATH DE Number: 7356644
zbMATH Keywords: competitive Kolmogorov systems
zbMATH Keywords: random differential equations
zbMATH Keywords: ergodicity
zbMATH Keywords: exponential convergence rate
zbMATH Keywords: semi-Markovian switching
MaRDI profile type: Publication
full work available at URL: dcds.2021032
OpenAlex ID: W3126845427
cites work: On the basic reproduction number in a random environment
cites work: On linear birth-and-death processes in a random environment
cites work: Invariant densities for dynamical systems with random switching
cites work: Permanence and Extinction of Regime-Switching Predator-Prey Models
cites work: Lotka-Volterra with randomly fluctuating environments or ``how switching between beneficial environments can make survival harder''
cites work: Qualitative properties of certain piecewise deterministic Markov processes
cites work: Q3943082
cites work: Existence of stationary distributions for Kolmogorov systems of competitive type under telegraph noise
cites work: Protected polymorphisms and evolutionary stability of patch-selection strategies in stochastic environments
cites work: Yet Another Look at Harris’ Ergodic Theorem for Markov Chains
cites work: Fundamentals of Matrix-Analytic Methods
cites work: Coexistence and extinction for stochastic Kolmogorov systems
cites work: Q4459250
cites work: Stochastic Stability of Ito Differential Equations With Semi-Markovian Jump Parameters
cites work: The threshold infection level for \textit{Wolbachia} invasion in random environments
cites work: Q4335551
cites work: Threshold dynamics and ergodicity of an SIRS epidemic model with Markovian switching
cites work: Threshold dynamics and ergodicity of an SIRS epidemic model with semi-Markov switching
cites work: Persistence and extinction of a stochastic single-specie model under regime switching in a polluted environment
cites work: Dynamical behavior of a multigroup SIRS epidemic model with standard incidence rates and Markovian switching
cites work: Stability of Markovian processes III: Foster–Lyapunov criteria for continuous-time processes
cites work: Mathematical biology. Vol. 1: An introduction.
cites work: Rainfall triggered dynamics of \textit{Aedes} mosquito aggressiveness
cites work: Coexistence and exclusion of stochastic competitive Lotka-Volterra models
cites work: Q4463714
cites work: The impact of inter-annual rainfall variability on African savannas changes with mean rainfall
cites work: Does environmental variability limit niche overlap?
cites work: Asymptotic stability in distribution of stochastic systems with semi-Markovian switching
cites work: Explicit approximations for nonlinear switching diffusion systems in finite and infinite horizons
DOI: 10.3934/DCDS.2021032
description: scientific article; zbMATH DE number 7356644