The threshold of survival for system of two species in polluted environment

From MaRDI portal
Publication:1179449

DOI10.1007/BF00168006zbMath0745.92028OpenAlexW2327275896WikidataQ52464791 ScholiaQ52464791MaRDI QIDQ1179449

Huaping Liu, Zhien Ma

Publication date: 26 June 1992

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

Full work available at URL: https://doi.org/10.1007/bf00168006




Related Items (85)

Analysis of nonautonomous two species system in a polluted environmentAnalysis of a stochastic logistic model with diffusion and Ornstein–Uhlenbeck processDynamical behaviors of a stochastic food chain system with Ornstein-Uhlenbeck processAnalysis of a stochastic Lotka–Volterra competitive system with infinite delays and Ornstein–Uhlenbeck processDynamics of a general stochastic nonautonomous Lotka-Volterra model with delays and impulsive perturbationsPeriodic solution for a stochastic non-autonomous competitive Lotka-Volterra model in a polluted environmentAnalysis of a stochastic delay predator-prey system with jumps in a polluted environmentPermanence of populations in a polluted environmentStochastic dynamics of an SEIS epidemic modelAnalysis of a delayed stochastic predator-prey model in a polluted environmentThreshold behaviour of a stochastic SIR modelAnalysis of a stochastic tri-trophic food-chain model with harvestingEffect of pollution on dynamics of SIR model with treatmentPersistence and extinction of an \(n\)-species mutualism model with random perturbations in a polluted environmentA toxin-mediated size-structured population model: finite difference approximation and well-posednessSurvival analysis of a stochastic service-resource mutualism model in a polluted environment with pulse toxicant inputDynamics of a two-species Lotka-Volterra competition system in a polluted environment with pulse toxicant inputA mathematical model for chemical defense mechanism of two competing speciesDynamics of a stochastic population model with predation effects in polluted environmentsA model for delayed effect of toxicant on resource-biomass systemThe extinction and persistence of the stochastic SIS epidemic model with vaccinationExponential ergodicity for population dynamics driven by \(\alpha\)-stable processesStochastic dynamics of a facultative mutualism system in a polluted environmentA resource-dependent competition model: effects of toxicants emitted from external sources as well as formed by precursors of competing speciesSurvival and stationary distribution analysis of a stochastic competitive model of three species in a polluted environmentA periodic averaging method for impulsive stochastic age‐structured population model in a polluted environmentPersistence and extinction of a modified Leslie-Gower Holling-type II stochastic predator-prey model with impulsive toxicant input in polluted environmentsLong term behaviors of stochastic single-species growth models in a polluted environmentAsymptotic properties and simulations of a stochastic logistic model under regime switchingSustainability of a system of two competing prey and a predator in polluted environmentDynamic property of a stochastic cooperative species system with distributed delays and Ornstein–Uhlenbeck processDynamical analysis of a class of prey-predator model with Beddington-DeAngelis functional response, stochastic perturbation, and impulsive toxicant inputVariable structure control of a singular predator-prey system with the influence of toxic substancesSurvival analysis of a cooperation system with random perturbations in a polluted environmentA stochastic predator-prey model with Ornstein-Uhlenbeck process: characterization of stationary distribution, extinction and probability density functionDynamics of an SI epidemic model with external effects in a polluted environmentDynamical behavior and numerical simulation of a stochastic eco-epidemiological model with Ornstein-Uhlenbeck processThe analysis of model on population growth with stage-structure in the polluted environmentPersistence and nonpersistence of a nonautonomous stochastic mutualism systemDYNAMICS OF A GENERAL NON-AUTONOMOUS STOCHASTIC LOTKA-VOLTERRA MODEL WITH DELAYSThe study of a class of pest control pollution model with stage-structure and time delayModeling the dynamics of a single-species model with pollution treatment in a polluted environmentSurvival analysis of stochastic competitive models in a polluted environment and stochastic competitive exclusion principleLong term behaviors of stochastic single-species growth models in a polluted environment. IIA MATHEMATICAL MODEL FOR THE EFFECT OF TOXICANT ON THE IMMUNE SYSTEMA DELAY MODEL FOR THE EFFECTS OF ENVIRONMENTAL TOXICANT ON BIOLOGICAL SPECIESUnnamed ItemDynamics of a stochastic delayed competitive model with impulsive toxicant input in polluted environmentsPersistence and extinction of a stochastic single-specie model under regime switching in a polluted environment. IIAnalysis of a general stochastic non-autonomous logistic model with delays and Lévy jumpsThe periodic solutions to a stochastic two-prey one-predator population model with impulsive perturbations in a polluted environmentThe survival analysis for a single-species population model in a polluted environmentDynamics of a stochastic predator-prey model with two competitive preys and one predator in a polluted environmentPersistence and extinction in general non-autonomous logistic model with delays and stochastic perturbationAnalysis of a nonautonomous delayed predator-prey system with a stage structure for the predator in a polluted environmentSurvival analysis of a nonautonomous logistic model with stochastic perturbationWeak average persistence and extinction of a predator-prey system in a polluted environment with impulsive toxicant inputControl of environmental pollution to conserve a populationPersistence and ergodicity of plant disease model with Markov conversion and impulsive toxicant inputA diffusive stage-structured model in a polluted environmentModelling the survival of species dependent on a resource in a polluted environmentAnalysis of stochastic delay predator-prey system with impulsive toxicant input in polluted environmentsModeling the impact of rain on population exposed to air pollutionModelling effects of industrialization, population and pollution on a renewable resourceSurvival analysis of a stochastic single-species population model with jumps in a polluted environmentModelling a predator-prey system with infected prey in polluted environmentModeling the dynamics of infectious disease under the influence of environmental pollutionPersistence and extinction of an impulsive stochastic logistic model with infinite delayModeling the survival of a resource-dependent population: Effects of toxicants (pollutants) emitted from external sources as well as formed by its precursorsHow Do the Spatial Structure and Time Delay Affect the Persistence of A Polluted SpeciesThe effect of Lévy noise on the survival of a stochastic competitive model in an impulsive polluted environmentDynamic analysis of a stochastic toxin-mediated predator-prey model in aquatic environmentsA MODEL FOR THE EFFECT OF TIME DELAY ON THE DYNAMICS OF A POPULATION LIVING IN A POLLUTED ENVIRONMENTThe survival analysis for a population in a polluted environmentMODELING EFFECTS OF PRIMARY AND SECONDARY TOXICANTS ON RENEWABLE RESOURCESINFLUENCE OF INVESTING IN TREATING A POLLUTED ENVIRONMENT ON THE HARVEST: A PROBLEM OF OPTIMAL ALLOCATIONDynamic of a stochastic delayed one-predator two-prey model with Lévy jumps in polluted environmentsModelling the interaction of two biological species in a polluted environmentThresholds of survival for an \(n\)-dimensional Volterra mutualistic system in a polluted environmentPermanence of a nonautonomous population modelModels for the effect of environmental pollution on forestry resources with time delayGeneral conditions for global stability in a single species population-toxicant modelEffects of toxicants on a stage-structured population growth modelDynamical analysis of a modified Leslie–Gower Holling-type II predator-prey stochastic model in polluted environments with interspecific competition and impulsive toxicant inputSurvival analysis of a stochastic cooperation system with functional response in a polluted environment



Cites Work


This page was built for publication: The threshold of survival for system of two species in polluted environment