Periodic solution and ergodic stationary distribution of SEIS dynamical systems with active and latent patients

DOI10.1007/s12346-018-0289-9zbMath1426.34063OpenAlexW2892935655MaRDI QIDQ2274320

Tonghua Zhang, Xiaona Leng, Haokun Qi, Xin-Zhu Meng

Publication date: 19 September 2019

Published in: Qualitative Theory of Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12346-018-0289-9

zbMATH Keywords

Lyapunov functionperiodic solutionergodic stationary distributioncomputer numerical simulationsstochastic SEIS dynamical model

Mathematics Subject Classification ID

Epidemiology (92D30) Periodic solutions to ordinary differential equations (34C25) Stability of solutions to ordinary differential equations (34D20) Ordinary differential equations and systems with randomness (34F05) Qualitative investigation and simulation of ordinary differential equation models (34C60) Asymptotic properties of solutions to ordinary differential equations (34D05) Perturbations, asymptotics of solutions to ordinary differential equations (34E10)

Related Items

Stochastic dynamics of a two-species patch-system with ratio-dependent functional response, A stochastic epidemic model with infectivity in incubation period and homestead-isolation on the susceptible, Markovian switching for near-optimal control of a stochastic SIV epidemic model, Optimal harvesting of a competitive n-species stochastic model with delayed diffusions, Unnamed Item, Poincaré map approach to global dynamics of the integrated pest management prey-predator model, Time-space fractional model for complex cylindrical ion-acoustic waves in ultrarelativistic plasmas, A viral co-infection model with general infection rate in deterministic and stochastic environments, Modeling and analysis of SIR epidemic dynamics in immunization and cross-infection environments: Insights from a stochastic model, The impact of memory effect on time-delay logistic systems driven by a class of non-Gaussian noise, Analysis of a stochastic SVIR model with time‐delayed stages of vaccination and Lévy jumps, Dynamical analysis of a stochastic non-autonomous SVIR model with multiple stages of vaccination, Dynamical analysis of nonautonomous trophic cascade chemostat model with regime switching and nonlinear perturbations in a polluted environment, Dynamic analysis of a predator-prey state-dependent impulsive model with fear effect in which action threshold depending on the prey density and its changing rate, Dynamics analysis of stochastic epidemic models with standard incidence, On the dynamics behaviors of a stochastic echinococcosis infection model with environmental noise, Stationary distribution and probability density function analysis of a stochastic HIV model with cell-to-cell infection, Dynamic analysis of wild and sterile mosquito release model with Poincaré map, Dynamics of an impulsive stochastic nonautonomous chemostat model with two different growth rates in a polluted environment, Dynamical analysis and optimal harvesting strategy for a stochastic delayed predator-prey competitive system with Lévy jumps, Analysis of an epidemiological model driven by multiple noises: ergodicity and convergence rate, Periodicity and stationary distribution of two novel stochastic epidemic models with infectivity in the latent period and household quarantine, Long-time behaviors of two stochastic mussel-algae models, Bistability and noise-induced transient behaviour of steady states in a cancer network with the regulation of microRNA, Existence of positive periodic solutions of several types of biological models with periodic coefficients, Asymptotic behavior and threshold of a stochastic SIQS epidemic model with vertical transmission and Beddington-DeAngelis incidence

Cites Work

• Unnamed Item
• Stationary distribution of stochastic population systems under regime switching
• The threshold of a stochastic SIS epidemic model with vaccination
• Complete global stability for an SIRS epidemic model with generalized non-linear incidence and vaccination
• Periodic solution of a chemostat model with variable yield and impulsive state feedback control
• Optimal harvesting policy of a stochastic predator-prey model with time delay
• Dynamics of a novel nonlinear stochastic SIS epidemic model with double epidemic hypothesis
• On observability and detectability of continuous-time stochastic Markov jump systems
• Stochastic linear quadratic optimal control with constraint for discrete-time systems
• Existence of two periodic solutions for a non-autonomous SIR epidemic model
• The ergodicity and extinction of stochastically perturbed SIR and SEIR epidemic models with saturated incidence
• Threshold behavior of a stochastic SIS model with Lévy jumps
• Permanence of stochastic Lotka-Volterra systems
• Stability analysis for stochastic differential equations with infinite Markovian switchings
• Complete global stability for an SIR epidemic model with delay - distributed or discrete
• Optimal harvesting control and dynamics of two-species stochastic model with delays
• Dynamical analysis of a stochastic SIS epidemic model with nonlinear incidence rate and double epidemic hypothesis
• A remark on stationary distribution of a stochastic SIR epidemic model with double saturated rates
• Dynamics analysis and numerical simulations of a stochastic non-autonomous predator-prey system with impulsive effects
• Dynamics of a nonautonomous stochastic SIS epidemic model with double epidemic hypothesis
• Threshold dynamics of a stochastic \(S I R\) model with vertical transmission and vaccination
• Global analysis of a new nonlinear stochastic differential competition system with impulsive effect
• Analysis and numerical simulations of a stochastic SEIQR epidemic system with quarantine-adjusted incidence and imperfect vaccination
• A stochastic HIV infection model with T-cell proliferation and CTL immune response
• Environmental Brownian noise suppresses explosions in population dynamics.
• Stochastic periodic solution for a perturbed non-autonomous predator-prey model with generalized nonlinear harvesting and impulses
• Periodic solution and stationary distribution of stochastic SIR epidemic models with higher order perturbation
• The stationary distribution and ergodicity of a stochastic phytoplankton allelopathy model under regime switching
• Analysis of epidemic spreading of an SIRS model in complex heterogeneous networks
• Existence of a nontrivial periodic solution in an age-structured SIR epidemic model with time periodic coefficients
• Stochastic inequalities and applications to dynamics analysis of a novel SIVS epidemic model with jumps
• Stochastic population dynamics under regime switching
• On pulse vaccination strategy in the SIR epidemic model with vertical transmission
• THE DYNAMICS AND THERAPEUTIC STRATEGIES OF A SEIS EPIDEMIC MODEL
• A Stochastic Differential Equation SIS Epidemic Model
• GLOBAL DYNAMICS ANALYSIS OF A NONLINEAR IMPULSIVE STOCHASTIC CHEMOSTAT SYSTEM IN A POLLUTED ENVIRONMENT