• Title/Summary/Keyword: unuiqueness

Search Result 1, Processing Time 0.017 seconds

EXISTENCE AND UNIQUENESS OF ENDEMIC STATES FOR AN EPIDEMIC MODEL WITH EXTERNAL FORCE OF INFECTION

  • Cha, Young-Joon
    • Communications of the Korean Mathematical Society
    • /
    • v.17 no.1
    • /
    • pp.175-187
    • /
    • 2002
  • The existence and uniqueness of steady states for the age structured S-I-R epidemic model is considered. Intercohort form with external force is considered for the force of infection. Existence is obtained for nonvanishing external force of infection. Uniqueness is shown for the case where there is no vertical transmission of the disease.