Dynamical analysis of an SIRS network model with direct immunization and infective vector

DOI10.1186/s13662-015-0436-4zbMath1422.92176OpenAlexW2009895388MaRDI QIDQ1794986

Dingqin Shi, Baidi Chen, Rong-Zhong Yu, Ke-Zan Li

Publication date: 16 October 2018

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-015-0436-4

zbMATH Keywords

SIRS modelepidemic thresholdglobal attractiondynamical analysisepidemic equilibrium

Mathematics Subject Classification ID

Epidemiology (92D30) Dynamical systems in biology (37N25) Nonlinear ordinary differential equations and systems (34A34) Qualitative investigation and simulation of ordinary differential equation models (34C60) Global stability of solutions to ordinary differential equations (34D23) Medical epidemiology (92C60)

Related Items (5)

Dynamics of an alcoholism model on complex networks with community structure and voluntary drinking ⋮ Analysis of an \textit{SIRS} epidemic model with time delay on heterogeneous network ⋮ ANALYSIS OF THE BINGE DRINKING MODELS WITH DEMOGRAPHICS AND NONLINEAR INFECTIVITY ON NETWORKS ⋮ Global dynamics of an \textit{SIRS} epidemic model with distributed delay on heterogeneous network ⋮ On the existence of positive solutions for generalized fractional boundary value problems

Cites Work

• Global analysis of an SIS model with an infective vector on complex networks
• Epidemic spreading on heterogeneous networks with identical infectivity
• A note on a paper by Erik Volz: SIR dynamics in random networks
• On the definition and the computation of the basic reproduction ratio \(R_ 0\) in models for infectious diseases in heterogeneous populations
• The dynamics of spreading and immune strategies of sexually transmitted diseases on scale-free network
• The effect of contact heterogeneity and multiple routes of transmission on final epidemic size
• SIR dynamics in random networks with heterogeneous connectivity
• A note on the global behaviour of the network-based SIS epidemic model
• Stability analysis for a vector disease model
• Network epidemic models with two levels of mixing
• Epidemic outbreaks on networks with effective contacts
• The impact of awareness on epidemic spreading in networks
• Emergence of Scaling in Random Networks
• Global Stability of Virus Spreading in Complex Heterogeneous Networks
• Periodic Solutions of a Periodic Nonlinear Delay Differential Equation

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