대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제18권1호
  • /
  • Pages.133-149
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  • 2003
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  • 1225-1763(pISSN)
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  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
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LOCAL STABILITY OF ENDEMIC STATES FOR AN EPIDEMIC MODEL WITH EXTERNAL FORCE OF INFECTION

  • 발행 : 2003.01.01
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초록

Local stability of steady states of an epidemic model is considered. An age structured S-I-R epidemic model with separable inter-cohort force of infection with external force is considered. Stability result for the nontrivial steady states is obtained.

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참고문헌

  1. Proc. v.1 Instability in an SIR-model with age-dependent susceptibility;Theory of Epidemics V. Andreassen
  2. Commun. Korean Math. Soc. v.17 no.1 Existence and uniqueness of endemic states for an epidemic model with external force of infection Y. Cha https://doi.org/10.4134/CKMS.2002.17.1.175
  3. 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
  4. Dynamic Systems and Applications v.9 Stability change of an epidemic model Y. Cha;M. Iannelli;F. Milner
  5. Mathematical Population Dynamics: Analysis of Heterogeneity;Proc. '3rd International Conference on Mathematical Population dynamics v.1 Age structured SIR epidemic model with intra-cohort transmission;Theory of Epidemics M. Chipot;M. Iannelli;A. Pugliese
  6. J. Math. Biol. v.22 Proportionate mixing models for age-dependent infection transmission K. Dietz;D. Schenzle
  7. Applied Mathematics Monographs Mathematical Theory of Age-Structured Population Dynamics M. Iannelli
  8. J. Math. Biol. v.28 Threshold and stability results for an age-structured epidemic model H. Inaba
  9. Differential Equations Models in Biology, Epidemiology and Ecology,Lectures Notes 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