Some discrete SI and SIS epidemic models

DOI10.1007/s10483-008-0113-yzbMath1231.39006OpenAlexW1982581589MaRDI QIDQ940531

Jianquan Li, Jie Lou, Mei-Zhi Lou

Publication date: 1 September 2008

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10483-008-0113-y

zbMATH Keywords

stabilityfixed pointdiscrete epidemic modeldynamical behavior

Mathematics Subject Classification ID

Epidemiology (92D30) Discrete version of topics in analysis (39A12)

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Cites Work

• Qualitative analysis of an SEIS epidemic model with nonlinear incidence rate
• Local and global stability for population models
• Some discrete-time SI, SIR, and SIS epidemic models
• Discrete-time S-I-S models with complex dynamics.
• Comparison of deterministic and stochastic SIS and SIR models in discrete time
• Global analysis of some epidemic models with general contact rate and constant immigration
• A discrete epidemic model with stage structure
• Dynamics of a discrete age-structured SIS models
• Dispersal, disease and life-history evolution

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