Global Dynamics of an Avian Influenza A(H7N9) Epidemic Model with Latent Period and Nonlinear Recovery Rate

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.