Persistence and extinction of a stochastic single-specie model under regime switching in a polluted environment

DOI10.1016/j.jtbi.2010.03.008zbMath1406.92673OpenAlexW4234661806WikidataQ51715326 ScholiaQ51715326MaRDI QIDQ1719772

Ke Wang, Meng Liu

Publication date: 12 February 2019

Published in: Journal of Theoretical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jtbi.2010.03.008

zbMATH Keywords

white noisepollutionthresholdMarkovian chain

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Population dynamics (general) (92D25) Ordinary differential equations and systems with randomness (34F05) Ecology (92D40)

Related Items

Survival and ergodicity of a stochastic Holling-III predator-prey model with Markovian switching in an impulsive polluted environment, Dynamical behaviors of a stochastic delay logistic system with impulsive toxicant input in a polluted environment, STOCHASTIC PERIODIC SOLUTION OF A NUTRIENT–PLANKTON MODEL WITH SEASONAL FLUCTUATION, Numerical solution of a fuzzy stochastic single-species age-structure model in a polluted environment, Stochastic asymptotic analysis of a multi-host model with vector transmission, Survival analysis of a stochastic service-resource mutualism model in a polluted environment with pulse toxicant input, Long time behaviors of single-species population models with psychological effect and impulsive toxicant in polluted environments, Threshold dynamics in a stochastic chemostat model under regime switching, Dynamics of a multigroup SIS epidemic model with standard incidence rates and Markovian switching, Dynamic analysis of stochastic virus infection model with delay effect, Dynamics of a stochastic population model with predation effects in polluted environments, Persistence and extinction in stochastic delay logistic equation by incorporating Ornstein-Uhlenbeck process, Stochastic delay population dynamics under regime switching: global solutions and extinction, Threshold dynamics and ergodicity of an SIRS epidemic model with Markovian switching, Persistence, extinction and global asymptotical stability of a non-autonomous predator-prey model with random perturbation, Asymptotic properties and simulations of a stochastic logistic model under regime switching II, Persistence and extinction in stochastic non-autonomous logistic systems, Numerical approximation of a stochastic age‐structured population model in a polluted environment with Markovian switching, Long term behaviors of stochastic single-species growth models in a polluted environment, Asymptotic properties and simulations of a stochastic logistic model under regime switching, Dynamical analysis of a class of prey-predator model with Beddington-DeAngelis functional response, stochastic perturbation, and impulsive toxicant input, Survival analysis of a cooperation system with random perturbations in a polluted environment, Conditions for persistence and ergodicity of a stochastic Lotka-Volterra predator-prey model with regime switching, Global stability of stage-structured predator-prey models with Beddington-DeAngelis functional response, GLOBAL DYNAMICS ANALYSIS OF A NONLINEAR IMPULSIVE STOCHASTIC CHEMOSTAT SYSTEM IN A POLLUTED ENVIRONMENT, Threshold dynamics and ergodicity of an SIRS epidemic model with semi-Markov switching, Long term behaviors of stochastic single-species growth models in a polluted environment. II, Global dynamics of a stochastic ratio-dependent predator–prey system, Dynamics analysis of stochastic epidemic models with standard incidence, A robustness analysis of biological population models with protection zone, Global analysis of a new nonlinear stochastic differential competition system with impulsive effect, Asymptotic behavior of non-autonomous stochastic Gilpin-Ayala predator-prey model with jumps, Persistence and extinction of a stochastic single-specie model under regime switching in a polluted environment. II, Dynamics of a novel nonlinear stochastic SIS epidemic model with double epidemic hypothesis, Analysis of a stochastic Holling type II predator-prey model under regime switching, Stability and bionomic analysis of fuzzy prey-predator harvesting model in presence of toxicity: a dynamic approach, Extinction and persistence of a tumor-immune model with white noise and pulsed comprehensive therapy, Dynamics of a stochastic predator-prey model with two competitive preys and one predator in a polluted environment, Boundedness, persistence and extinction of a stochastic non-autonomous logistic system with time delays, Stochastic delay population dynamics under regime switching: permanence and asymptotic estimation, Global stability of a nonlinear stochastic predator-prey system with Beddington-DeAngelis functional response, The extinction and persistence of tumor evolution influenced by external fluctuations and periodic treatment, Coexistence and exclusion of competitive Kolmogorov systems with semi-Markovian switching, Survival analysis for tumor growth model with stochastic perturbation, Dynamics of a nutrient-phytoplankton model with random phytoplankton mortality, Existence, extinction and global asymptotical stability of a stochastic predator-prey model with mutual interference, Dynamics of an impulsive stochastic nonautonomous chemostat model with two different growth rates in a polluted environment, Conditions for prosperity and depression of a stochastic R\&D model under regime switching, Global dynamics of stochastic predator-prey model with mutual interference and prey defense, Stability and optimal harvesting of a predator-prey system combining prey refuge with fuzzy biological parameters, A stochastic predator–prey model with Holling II increasing function in the predator, On the dynamics of a stochastic ratio-dependent predator-prey model with a specific functional response, Survival analysis of a stochastic cooperation system with functional response in a polluted environment

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On hybrid competitive Lotka-Volterra ecosystems
• Dynamical behavior of Lotka-Volterra competition systems: non-autonomous bistable case and the effect of telegraph noise
• Persistence and extinction of a population in a polluted environment
• Effects of toxicants on populations: a qualitative approach II. First order kinetics
• Population dynamical behavior of Lotka-Volterra system under regime switching
• Evolution of predator-prey systems described by a Lotka-Volterra equation under random environment
• The survival analysis for a population in a polluted environment
• Population dynamical behavior of non-autonomous Lotka-Volterra competitive system with random perturbation
• A single stage-structured population model with mature individuals in a polluted environment and pulse input of environmental toxin
• Stochastic population dynamics under regime switching. II
• On competitive Lotka-Volterra model in random environments
• Persistence in population models with demographic fluctuations
• On density and extinction in continuous population models
• The threshold of survival for systems in a fluctuating environment
• Models for the effect of toxicant in single-species and predator-prey systems
• Stochastic models for toxicant-stressed populations
• A comparison theorem for solutions of stochastic differential equations and its applications
• The thresholds of survival for an \(n\)-dimensional food chain model in a polluted environment
• Environmental Brownian noise suppresses explosions in population dynamics.
• A note on nonautonomous logistic equation with random perturbation
• Thresholds of survival for an \(n\)-dimensional Volterra mutualistic system in a polluted environment
• A control problem in a polluted environment
• Stochastic population dynamics under regime switching
• Global stability and stochastic permanence of a non-autonomous logistic equation with random perturbation
• The survival analysis for a single-species population model in a polluted environment
• A diffusive stage-structured model in a polluted environment
• An Algorithmic Introduction to Numerical Simulation of Stochastic Differential Equations
• Stochastic Differential Equations with Markovian Switching