Global stability of an SIR epidemic model with time delays
- 1 December 1995
- journal article
- Published by Springer Nature in Journal of Mathematical Biology
- Vol. 33 (3) , 250-260
- https://doi.org/10.1007/bf00169563
Abstract
An SIR disease transmission model is formulated under the assumption that the force of infection at the present time depends on the number of infectives at the past. It is shown that a disease free equilibrium point is globally stable if no endemic equilibrium point exists. Further the endemic point (if it exists) is globally stable with respect to the whole state space except the neighborhood of the disease free state.Keywords
This publication has 1 reference indexed in Scilit:
- Global stability results for a generalized Lotka-Volterra system with distributed delaysJournal of Mathematical Biology, 1988