Global stability of an SIR epidemic model with time delays.
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.
Beretta
E
E
Istituto de Biomatematica, Università, Urbino, Italy.
Takeuchi
Y
Y
D000818:Animals; D003141:Communicable Diseases / Q000453:epidemiology* / Q000401:mortality / Q000635:transmission; D004812:Epidemiologic Methods; D006801:Humans; D007231:Infant, Newborn; D007303:Insect Vectors; D008962:Models, Theoretical; D013997:Time Factors