Analysis of a delayed epidemic model with non-monotonic incidence rate and vertical transmission

DOI10.1142/S1793524514500417zbMath1306.34131OpenAlexW2091107174MaRDI QIDQ2922129

Jinhu Xu, Wenxiong Xu, Yicang Zhou

Publication date: 9 October 2014

Published in: International Journal of Biomathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793524514500417

zbMATH Keywords

vertical transmissionbasic reproduction numberpermanentSEIR epidemic model

Mathematics Subject Classification ID

Epidemiology (92D30) Asymptotic theory of functional-differential equations (34K25) Stability theory of functional-differential equations (34K20) Qualitative investigation and simulation of models involving functional-differential equations (34K60)

Cites Work

• Two profitless delays for an SEIRS epidemic disease model with vertical transmission and pulse vaccination
• Global stability of a delayed SEIRS epidemic model with saturation incidence rate
• Analysis of an SEIRS epidemic model with two delays
• Delay differential equations: with applications in population dynamics
• Two profitless delays for the SEIRS epidemic disease model with nonlinear incidence and pulse vaccination
• Influence of nonlinear incidence rates upon the behavior of SIRS epidemiological models
• Dynamical behavior of epidemiological models with nonlinear incidence rates
• Hepatitis B in a high prevalence New Zealand population: a mathematical model applied to infection control policy
• Dynamical behavior of an epidemic model with a nonlinear incidence rate
• Global analysis of an epidemic model with nonmonotone incidence rate
• A delayed SIR epidemic model with saturation incidence and a constant infectious period
• Contributions to the mathematical theory of epidemics. II. —The problem of endemicity
• Mathematical Analysis

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