Asymptotic properties and simulations of a stochastic logistic model under regime switching

DOI10.1016/j.mcm.2011.05.023zbMath1235.60099OpenAlexW4205339271MaRDI QIDQ409867

Ke Wang, Meng Liu

Publication date: 15 April 2012

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mcm.2011.05.023

zbMATH Keywords

global attractivitypersistencelogistic modelextinctionwhite noiseMarkovian chain

Mathematics Subject Classification ID

Ordinary differential equations and systems with randomness (34F05) Ecology (92D40) Asymptotic properties of solutions to ordinary differential equations (34D05) Applications of continuous-time Markov processes on discrete state spaces (60J28)

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Cites Work

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• On hybrid competitive Lotka-Volterra ecosystems
• Dynamical behavior of Lotka-Volterra competition systems: non-autonomous bistable case and the effect of telegraph noise
• Extinction and permanence in a stochastic non-autonomous population system
• On stochastic population model with the Allee effect
• Persistence and extinction in stochastic non-autonomous logistic systems
• Delay differential equations: with applications in population dynamics
• Population dynamical behavior of Lotka-Volterra system under regime switching
• Evolution of predator-prey systems described by a Lotka-Volterra equation under random environment
• Dynamics of a stochastic Lotka-Volterra model perturbed by white noise
• On stability and fluctuation in Gompertzian and logistic growth models
• Almost periodic solutions of a discrete almost periodic logistic equation
• Global stability of nonautonomous logistic equations with a piecewise constant delay
• Population dynamical behavior of non-autonomous Lotka-Volterra competitive system with random perturbation
• Stochastic population dynamics under regime switching. II
• On competitive Lotka-Volterra model in random environments
• Persistence in population models with demographic fluctuations
• The threshold of survival for system of two species in polluted environment
• Asymptotic behaviour of the stochastic Lotka-Volterra model.
• Persistence and extinction of a stochastic single-specie model under regime switching in a polluted environment
• Persistence and extinction of a stochastic single-specie model under regime switching in a polluted environment. II
• Environmental Brownian noise suppresses explosions in population dynamics.
• Stochastic population dynamics under regime switching
• Influence of stochastic perturbation on prey-predator systems
• Global stability and stochastic permanence of a non-autonomous logistic equation with random perturbation
• Asymptotic stability for delayed logistic type equations
• An Algorithmic Introduction to Numerical Simulation of Stochastic Differential Equations
• The Influence of External Real and White Noise on the L<scp>OTKA</scp>‐V<scp>OLTERRA</scp> Model
• Ratio-dependent predator–prey model: effect of environmental fluctuation and stability
• Global Models of Growth and Competition
• Stochastic Differential Equations with Markovian Switching