|
|
 |
| |
|
|
|
Mathematical Analysis of the Global Properties of an SVEIR Epidemic Model |
|
|
|
PP: 137-143 |
|
|
|
doi:10.18576/msl/050204
|
|
|
|
Author(s) |
|
|
|
Lili Wang,
Rui Xu,
|
|
|
|
Abstract |
|
|
| In this paper, an SVEIR epidemic model with waning preventive vaccine and the infection acquired following effective
contact with infected population and exposed population is investigated. By analyzing the corresponding characteristic equations, the
local stability of a disease-free equilibrium and an endemic equilibrium is discussed. By means of Lyapunov functional and LaSalle’s
invariance principle, it is shown that the global dynamics is almost determined by the basic reproduction number. It is proven that if the
basic reproduction number is less than unity, the disease-free equilibrium is globally asymptotically stable. If the basic reproduction
number is greater than unity, sufficient conditions are obtained for the global stability of the endemic equilibrium. Numerical simulations
are carried out to illustrate the main theoretical results. |
|
|
|
|
|
|
|
