Author/Authors :
Mu, Rui School of Mathematics and Statistics - Shandong Normal University - Jinan, China , Yang, Youping School of Mathematics and Statistics - Shandong Normal University - Jinan, China
Abstract :
An SEIR type of compartmental model with nonlinear incidence and recovery rates was formulated to study the combined impacts
of psychological efect 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. Te
results obtained reveal that psychological efect and available resources do not change the stability of the steady states but can indeed
diminish the peak and the fnal sizes of the infected. Our studies have practical implications for the transmission and control of
A(H7N9) virus.
