Global stability of an SEIS epidemic model with recruitment and a varying total population size.
This paper considers an SEIS epidemic model that incorporates constant recruitment, disease-caused death and disease latency. The incidence term is of the bilinear mass-action form. It is shown that the global dynamics is completely determined by the basic reproduction number R(0). If R(0)<or=1, the disease-free equilibrium is globally stable and the disease dies out. If R(0)>1, a unique endemic equilibrium is globally stable in the interior of the feasible region and the disease persists at the endemic equilibrium.
Fan
M
M
Department of Mathematics, Northeast Normal University, Changchun, Jilin 130024, People's Republic of China. mfan@nenu.edu.cn
Li
M Y
MY
Wang
K
K
D003141:Communicable Diseases / Q000453:epidemiology*; D018562:Disease Transmission, Infectious; D006801:Humans; D015994:Incidence; D008954:Models, Biological; D011157:Population Dynamics