Global dynamics of an avian influenza A(H7N9) epidemic model with latent period and nonlinear recovery rate
type: Item
instance of: scholarly article
title: Global dynamics of an avian influenza A(H7N9) epidemic model with latent period and nonlinear recovery rate
zbMATH Open document ID: 1411.92282
DOI: 10.1155/2018/7321694
author: Rui Mu
author: Youping Yang
published in: Computational \& Mathematical Methods in Medicine
publication date: 2019-03-27T00:00:00Z
review text: Summary: An SEIR type of compartmental model with nonlinear incidence and recovery rates was formulated to study the combined impacts of psychological effect and available resources of public health system especially the number of hospital beds on the transmission and control of A(H7N9) virus. Global stability of the disease-free and endemic equilibria is determined by the basic reproduction number as a threshold parameter and is obtained by constructing Lyapunov function and second additive compound matrix. The results obtained reveal that psychological effect and available resources do not change the stability of the steady states but can indeed diminish the peak and the final sizes of the infected. Our studies have practical implications for the transmission and control of A(H7N9) virus.
Mathematics Subject Classification ID: 92D30
Mathematics Subject Classification ID: 34D23
zbMATH DE Number: 7042943
zbMATH Keywords: avian influenza A(H7N9) epidemic model
zbMATH Keywords: nonlinear incidence and recovery rates
zbMATH Keywords: global stability
Wikidata QID: Q55039952
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2018/7321694
OpenAlex ID: W2794073195
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description: scientific article; zbMATH DE number 7042943