Dynamics of stochastic SEIS epidemic model with varying population size

DOI10.1016/j.physa.2016.06.120zbMath1400.92512OpenAlexW2507476660MaRDI QIDQ1620066

Jiamin Liu, Fengying Wei

Publication date: 13 November 2018

Published in: Physica A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physa.2016.06.120

zbMATH Keywords

persistenceextinctionstationary distributionvarying population sizestochastic SEIS model

Mathematics Subject Classification ID

Epidemiology (92D30) Population dynamics (general) (92D25) Ordinary differential equations and systems with randomness (34F05) Asymptotic properties of solutions to ordinary differential equations (34D05) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70)

Related Items (7)

An epidemic model with Beddington-DeAngelis functional response and environmental fluctuations ⋮ Persistence and distribution of a stochastic susceptible-infected-removed epidemic model with varying population size ⋮ A new idea on density function and covariance matrix analysis of a stochastic SEIS epidemic model with degenerate diffusion ⋮ Unnamed Item ⋮ Density function analysis for a stochastic SEIS epidemic model with non-degenerate diffusion ⋮ Dynamics of a stochastic periodic SIRS model with time delay ⋮ Study on a susceptible-exposed-infected-recovered model with nonlinear incidence rate

Cites Work

• Unnamed Item
• Population size dependent incidence in models for diseases without immunity
• Stochastic permanence of an SIQS epidemic model with saturated incidence and independent random perturbations
• A stochastic SIR epidemic model with density dependent birth rate
• Dynamics of a stochastic SIR epidemic model with saturated incidence
• Environmental Brownian noise suppresses explosions in population dynamics.
• Global dynamics of a SEIR model with varying total population size
• Study on the threshold of a stochastic SIR epidemic model and its extensions
• The threshold of a stochastic SIRS epidemic model in a population with varying size
• Analysis of a disease transmission model in a population with varying size
• Global analysis of an epidemic model with nonmonotone incidence rate
• Exclusion and persistence in deterministic and stochastic chemostat models
• DYNAMICS OF SEIS EPIDEMIC MODELS WITH VARYING POPULATION SIZE
• Asymptotic Properties of Hybrid Diffusion Systems

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