Analysis of a novel stochastic SIRS epidemic model with two different saturated incidence rates

DOI10.1016/j.physa.2017.01.015zbMath1400.92468OpenAlexW2568160437MaRDI QIDQ1620513

Zhengbo Chang, Xiao Lu, Xin-Zhu Meng

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.2017.01.015

zbMATH Keywords

stochastic dynamicsstochastic epidemic modelnonlinear incidence ratepersistence in meanIto's formula

Mathematics Subject Classification ID

Epidemiology (92D30) Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Ordinary differential equations and systems with randomness (34F05) Asymptotic properties of solutions to ordinary differential equations (34D05)

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Cites Work

• An analogue of break-even concentration in a simple stochastic chemostat model
• Dynamics of a novel nonlinear stochastic SIS epidemic model with double epidemic hypothesis
• Threshold behavior of a stochastic SIS model with Lévy jumps
• Stability of a novel stochastic epidemic model with double epidemic hypothesis
• Local and global bifurcations in an SIRS epidemic model
• Influence of nonlinear incidence rates upon the behavior of SIRS epidemiological models
• An SIRS epidemic model of two competitive species
• Analysis of the deterministic and stochastic SIRS epidemic models with nonlinear incidence
• The threshold of a stochastic delayed SIR epidemic model with temporary immunity
• Global stability for a multi-group SIRS epidemic model with varying population sizes
• Global stability of a multi-group SVIR epidemic model
• Stability in distribution of neutral stochastic differential delay equations with Markovian switching
• The threshold of a stochastic SIRS epidemic model with saturated incidence
• Further stability analysis for a multi-group SIRS epidemic model with varying total population size
• Dynamics of a novel nonlinear SIR model with double epidemic hypothesis and impulsive effects