Existence and uniqueness of endemic states for the age-structured S–I–R epidemic model

Author:

Cha Youngjoon,Iannelli Mimmo,Milner Fabio A.

Publisher

Elsevier BV

Subject

Applied Mathematics,General Agricultural and Biological Sciences,General Immunology and Microbiology,General Biochemistry, Genetics and Molecular Biology,Modeling and Simulation,General Medicine,Statistics and Probability

Reference11 articles.

1. V. Andreassen, Instability in an SIR-model with age-dependent susceptibility, in: Mathematical Population Dynamics: Analysis of Heterogeneity, vol. 1, Theory of Epidemics, Proceedings of the Third International Conference on Mathematical Population Dynamics, Pau, France, 1992, Wuerz, Winnipeg, Canada, 1995, p. 3

2. Endemic thresholds and stability in a class of age-structured epidemics;Busenberg;SIAM J. Appl. Math.,1988

3. S. Busenberg, M. Iannelli, Y.H. Thieme, Dynamics of an age-structured epidemic model, Dynamical Systems, in: S.-T. Liao, T.-R. Ding, Y.-Q. Ye (Eds.), Nankai Series in Pure, Applied Mathematics, and Theoretical Physics, vol. 4, World Scientific, Singapore, 1993

4. M. Chipot, M. Iannelli, A. Pugliese, Age structured SIR epidemic model with intra-cohort transmission, in: Mathematical Population Dynamics: Analysis of Heterogeneity, vol. 1, Theory of Epidemics, Proceedings of the Third International Conference on Mathematical Population Dynamics, Pau, France, 1992, Wuerz, Winnipeg, Canada, 1995, p. 52

5. Proportionate mixing models for age-dependent infection transmission;Dietz;J. Math. Biol.,1985

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