Population dynamical behavior of Lotka-Volterra system under regime switching

From MaRDI portal

Publication:843148

Jump to:navigation, search

DOI10.1016/j.cam.2009.06.021zbMath1173.60020OpenAlexW2035060017MaRDI QIDQ843148

Xiaoyue Li, Xuerong Mao, Daqing Jiang

Publication date: 29 September 2009

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2009.06.021

zbMATH Keywords

stochastic differential equation Brownian motion Markov chain generalized Itô's formula stochastic permanence

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Ordinary differential equations and systems with randomness (34F05) General biology and biomathematics (92B05)

Related Items

Modelling the effect of telegraph noise in the SIRS epidemic model using Markovian switching, Stationary distribution of stochastic population systems under regime switching, Stationary distribution of stochastic population dynamics in state-dependent random environments, On stochastic multi-group Lotka-Volterra ecosystems with regime switching, Stability of a stochastic logistic model under regime switching, The threshold of a stochastic susceptible-infective epidemic model under regime switching, Positivity-preserving symplectic methods for the stochastic Lotka-Volterra predator-prey model, Asymptotic properties of stochastic hybrid Gilpin-Ayala system with jumps, Survival and ergodicity of a stochastic Holling-III predator-prey model with Markovian switching in an impulsive polluted environment, Stochastic differential equations with multi-Markovian switching, Epidemics on networks with heterogeneous population and stochastic infection rates, Stochastic periodic solution for a perturbed non-autonomous predator-prey model with generalized nonlinear harvesting and impulses, Stationary distribution and extinction of SIR model with nonlinear incident rate under Markovian switching, Survival analysis of a stochastic service-resource mutualism model in a polluted environment with pulse toxicant input, Global stability and positive recurrence of a stochastic SIS model with Lévy noise perturbation, Dynamic behaviors of a predator-prey model perturbed by a complex type of noises, Dynamics of a switching diffusion modified Leslie-Gower predator-prey system with Beddington-DeAngelis functional response, Tamed-Euler method for nonlinear switching diffusion systems with locally Hölder diffusion coefficients, Analysis on stochastic food-web model with intraguild predation and mixed functional responses, Permanence and extinction of a stochastic hybrid population model with Allee effect, Asymptotic behaviors of stochastic periodic differential equation with Markovian switching, Study on asymptotic behavior of stochastic Lotka-Volterra system in a polluted environment, Periodic solution for stochastic non-autonomous multispecies Lotka-Volterra mutualism type ecosystem, Stochastic delay population dynamics under regime switching: global solutions and extinction, Asymptotic properties of multi-species Lotka-Volterra models with regime switching involving weak and strong interactions, Existence, stationary distribution, and extinction of predator-prey system of prey dispersal with stochastic perturbation, Stochastic functional differential equation under regime switching, Asymptotic properties and simulations of a stochastic logistic model under regime switching II, Comparison of deterministic and stochastic SIRS epidemic model with saturating incidence and immigration, Ergodic property of the chemostat: a stochastic model under regime switching and with general response function, Periodic solution for a stochastic non-autonomous predator-prey model with Holling II functional response, Asymptotic properties and simulations of a stochastic logistic model under regime switching, The asymptotic stability and exponential stability of nonlinear stochastic differential systems with Markovian switching and with polynomial growth, Dynamical analysis of a class of prey-predator model with Beddington-DeAngelis functional response, stochastic perturbation, and impulsive toxicant input, Analysis of a stochastic single-species model with intraspecific cooperation, Survival analysis of a cooperation system with random perturbations in a polluted environment, Global stability analysis for stochastic coupled systems on networks, Conditions for persistence and ergodicity of a stochastic Lotka-Volterra predator-prey model with regime switching, Dynamics of a stochastic regime-switching predator-prey model with harvesting and distributed delays, The stationary distribution and ergodicity of a stochastic phytoplankton allelopathy model under regime switching, The analysis of stochastic Lotka-Volterra model in polluted environment, Dynamics analysis of a stochastic hybrid logistic model with delay and two-pulse perturbations, Stability in distribution of competitive Lotka-Volterra system with Markovian switching, A stochastic ratio-dependent predator-prey model under regime switching, Stationary distribution, density function and extinction of stochastic vegetation-water systems, The ergodic property and positive recurrence of a multi-group Lotka-Volterra mutualistic system with regime switching, Persistence in mean and extinction on stochastic competitive Gilpin-Ayala systems with regime switching, Asymptotic behavior of a regime-switching SIR epidemic model with degenerate diffusion, Stochastic delay logistic model under regime switching, Asymptotic properties of a stochastic Lotka-Volterra model with infinite delay and regime switching, Existence, uniqueness and ergodicity of positive solution of mutualism system with stochastic perturbation, Dynamical analysis and optimal harvesting of a stochastic three-species cooperative system with delays and Lévy jumps, Permanence and extinction of a high-dimensional stochastic resource competition model with noise, Persistence and extinction of a stochastic single-specie model under regime switching in a polluted environment, Partial permanence and extinction on stochastic Lotka-Volterra competitive systems, Dynamical behavior of the stochastic delay mutualism system, The principle of competitive exclusion about a stochastic Lotka-Volterra model with two predators competing for one prey, A graph-theoretic approach to boundedness of stochastic Cohen-Grossberg neural networks with Markovian switching, Tamed-Euler method for hybrid stochastic differential equations with Markovian switching, Stationary distribution and ergodicity of a stochastic hybrid competition model with Lévy jumps, Permanence of a stochastic delay competition model with Levy jumps, Dynamics of stochastic hybrid Gilpin-Ayala system with impulsive perturbations, Optimal harvesting for a stochastic N-dimensional competitive Lotka-Volterra model with jumps, On hybrid stochastic population models with impulsive perturbations, Analysis of a stochastic logistic model with diffusion, Permanence and asymptotical behavior of stochastic prey-predator system with Markovian switching, Linear quadratic Gaussian homing for Markov processes with regime switching and applications to controlled population growth/decay, Stability in distribution of a stochastic hybrid competitive Lotka-Volterra model with Lévy jumps, Analysis of a stochastic Holling type II predator-prey model under regime switching, Analysis of a stochastic tumor-immune model with regime switching and impulsive perturbations, Persistence and stationary distribution of a stochastic predator-prey model under regime switching, Ergodic stationary distribution and extinction of a hybrid stochastic SEQIHR epidemic model with media coverage, quarantine strategies and pre-existing immunity under discrete Markov switching, Permanence of stochastic Lotka-Volterra systems, A generalization of Itô's formula and the stability of stochastic Volterra integral equations, Optimal harvest of a stochastic predator-prey model, Remarks on stochastic permanence of population models, Asymptotic behavior analysis for a three-species food chain stochastic model with regime switching, Stochastic delay population dynamics under regime switching: permanence and asymptotic estimation, Stability of the split-step backward Euler scheme for stochastic delay integro-differential equations with Markovian switching, Stochastic Kolmogorov-type system with infinite delay, Uncertain impulsive Lotka-Volterra competitive systems: robust stability of almost periodic solutions, Stochastic modified Bazykin predator-prey model with Markovian switching, A stochastic differential equation SIS epidemic model with regime switching, Coexistence and exclusion of stochastic competitive Lotka-Volterra models, The threshold between permanence and extinction for a stochastic logistic model with regime switching, Asymptotic properties and simulations of a stochastic single-species dispersal model under regime switching, Dynamics of a stochastic Lotka-Volterra model with regime switching, Asymptotic properties of switching diffusion epidemic model with varying population size, Asymptotic behavior of a stochastic non-autonomous predator-prey model with impulsive perturbations, Stability of a delayed competitive model with saturation effect and interval biological parameters, Stabilization for hybrid stochastic systems by aperiodically intermittent control, The pricing and hedging of an attainable claim in a hybrid Black-Scholes model under regime switching, Ergodic property of a Lotka-Volterra predator-prey model with white noise higher order perturbation under regime switching, Dynamics of a stochastic regime-switching predator-prey model with modified Leslie-Gower Holling-type II schemes and prey harvesting, Stationary distribution of a stochastic hybrid phytoplankton-zooplankton model with toxin-producing phytoplankton, Robustness of hybrid neutral differential systems perturbed by noise, New criteria on persistence in mean and extinction for stochastic competitive Lotka-Volterra systems with regime switching, Periodic solution for a non-autonomous Lotka-Volterra predator-prey model with random perturbation, Coexistence for a kind of stochastic three-species competitive models, Dynamics of a stochastic population model with Allee effects under regime switching, An MCMC computational approach for a continuous time state-dependent regime switching diffusion process, Dynamics of a stochastic population model with Allee effect and jumps, Analysis of a stochastic predator-prey system with foraging arena scheme, Stability and ergodicity of a stochastic Gilpin–Ayala model under regime switching on patches, Ergodic stationary distribution and practical application of a hybrid stochastic cholera transmission model with waning vaccine‐induced immunity under nonlinear regime switching, A stochastic differential equation SIS model on network under Markovian switching, Numerical approximation of a stochastic age‐structured population model in a polluted environment with Markovian switching, Approximate message passing for sparse matrices with application to the equilibria of large ecological Lotka-Volterra systems, A multi‐group SEIRI epidemic model with logistic population growth under discrete Markov switching: Extinction, persistence, and positive recurrence, Stability and dynamical bifurcation of a stochastic regime-switching predator-prey model, Dynamics of a stochastic phytoplankton–toxic phytoplankton–zooplankton system under regime switching, The protection zone for biological population in random environment, The stochastic interactions between predator and prey under Markovian switching: competitive interaction between multiple prey, Stability in distribution of stochastic Lotka–Volterra delay system under regime switching, Unnamed Item, Stochastic delay foraging arena predator–prey system with Markov switching, N-intertwined SIS epidemic model with Markovian switching, Stability analysis of uncertain switched singular time‐delay systems with discrete and distributed delays

Cites Work

Retrieved from "https://portal.mardi4nfdi.de/w/index.php?title=Publication:843148&oldid=12784418"