On the Equilibrium Points, Boundedness and Positivity of a Sveirs Epidemic Model under Constant Regular Constrained Vaccination
Volume 22, Issue 3 (2011), pp. 339–370
Pub. online: 1 January 2011
Type: Research Article
Received
1 December 2010
1 December 2010
Accepted
1 May 2011
1 May 2011
Published
1 January 2011
1 January 2011
Abstract
This paper discusses the disease-free and endemic equilibrium points of a SVEIRS propagation disease model which potentially involves a regular constant vaccination. The positivity of such a model is also discussed as well as the boundedness of the total and partial populations. The model takes also into consideration the natural population growing and the mortality associate to the disease as well as the lost of immunity of newborns. It is assumed that there are two finite delays affecting to the susceptible, recovered, exposed and infected population dynamics.