Stability analyses of deterministic and stochastic SEIRI epidemic models with nonlinear incidence rates and distributed delay

DOI10.15388/NA.2017.1.5zbMath1416.92175OpenAlexW2811506806MaRDI QIDQ4968113

Paul Georgescu, Juan Xia, Hong Zhang

Publication date: 12 July 2019

Published in: Nonlinear Analysis: Modelling and Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.15388/na.2017.1.5

zbMATH Keywords

Lyapunov functionalcompartmental modelnonlinear incidencedelay differential systemglobal stability of equilibriadisease relapse

Mathematics Subject Classification ID

Epidemiology (92D30) Stochastic stability in control theory (93E15) Global stability of solutions to ordinary differential equations (34D23)

Related Items (7)

A stochastic threshold for an epidemic model with Beddington-DeAngelis incidence, delayed loss of immunity and Lévy noise perturbation ⋮ A multi‐group SEIRI epidemic model with logistic population growth under discrete Markov switching: Extinction, persistence, and positive recurrence ⋮ Dynamics analysis of a diffusive SIRI epidemic system under logistic source and general incidence rate ⋮ Explicit impacts of harvesting in delayed predator-prey models ⋮ A note on advection-diffusion cholera model with bacterial hyperinfectivity ⋮ Dynamics of a waterborne pathogen model with spatial heterogeneity and general incidence rate ⋮ Threshold dynamics of a diffusive SIRI model with nonlinear incidence rate

Cites Work

• Stochastically asymptotically stability of the multi-group SEIR and SIR models with random perturbation
• Delay differential equations: with applications in population dynamics
• Positive solutions for a system of second-order nonlinear multi-point eigenvalue problems
• Global stability of multi-group epidemic models with distributed delays
• Global stability of an SIR epidemic model with time delays
• Spatiotemporal dynamics of epidemics: Synchrony in metapopulation models.
• Global dynamics of an SEIRI epidemiological model with time delay
• Modeling seasonal measles transmission in China
• A Lyapunov functional for a SIRI model with nonlinear incidence of infection and relapse
• Modeling diseases with latency and relapse
• ANALYSIS ON AN EPIDEMIC MODEL WITH A RATIO-DEPENDENT NONLINEAR INCIDENCE RATE

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