DOI QR코드

DOI QR Code

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

  • Published : 2002.01.01

Abstract

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.

Keywords

References

  1. Mathematical Population Dynamics: Analysis of Heterogeneity v.1 Instability in an SIR-model with' age-dependent susceptibility V. Andreassen
  2. SIAM J. Appl. Math. v.48 Endemic thresholds and stability in a class of age-structured epidemics S. Busenberg;K. Cooke;M. Iannelli https://doi.org/10.1137/0148085
  3. Nankai Series in Pure, Applied Mathematics, and Theoretical Physics v.4 Dynamics of an age-structured epidemic model S. Busenberg;M. Cooke;M.Iannelli;S.-T. Liao(Eds.);T.-R.Ding(Eds.);Y.-Q. Ye(Eds.)
  4. Mathematical Biosciences v.150 Existence and uniqueness of endemic states for the age-structured S-I-R epidemic model Y. Cha;M. Iannelli;F. Milner https://doi.org/10.1016/S0025-5564(98)10006-8
  5. Mathematical Population Dynamics: Analysis of Heterogeneity v.1 Age structured SIR epidemic model with intra-cohort transmission M. Chipot;M. Iannelli;A. Pugliese
  6. J. Math. Biol. v.22 Proortionate mixing models for age-depedent infection transmission K. Dietz;D. Schenzle
  7. Nonl. Anal. T. M. A. v.11 Analysis of nonlinear integro-differential equations arising in age dependent epidemic models El Doma https://doi.org/10.1016/0362-546X(87)90060-5
  8. SIAM J. Math. Anal. v.23 Analytical and Numerical Results for The Age-Structured S-I-S Model with Mixed Inter-Intracohort Transmission M. Iannelli, F.;A. Milner;A. Pugliese https://doi.org/10.1137/0523034
  9. J. Math. Biol. v.28 Threshold and stability results for an age-structured epidemic model H. Inaba
  10. Differential Equations Models in Biology, Epidemiology and Ecology, Lectures Nates in Biomathematics v.92 Stability change for the endemic equilibrium in age-structured models for the spread of S-I-R type infectious diseases H. Thieme https://doi.org/10.1007/978-3-642-45692-3_10