Stability analysis for a general age-dependent vaccination model

Mathematical and Computer Modelling

Volumn 24, Issue 7, 1996, Pages 109-117

  El Doma, M ^a,b  

^a ABDUS SALAM INTERNATIONAL CENTRE FOR THEORETICAL PHYSICS   (Italy)

^b UNIVERSITY OF KHARTOUM   (Sudan)

Author keywords

Age structure; Epidemic; Stability

Indexed keywords

EID: 0030268496     PISSN: 08957177     EISSN: None     Source Type: Journal    
DOI: 10.1016/0895-7177(96)00131-8     Document Type: Article

References (12)

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3. 3. R.M. Anderson and R.M. May, Directly transmitted infectious diseases: Control by vaccination, Science 215, 1053-1060 (1982).
4. 4. S.N. Busenberg, K.L. Cooke and M. Iannelli, Endemic threshold stability in a class of age-structured epidemics, SIAM J. Appl. Math. 48 (6), 1379-1395 (1988).
5. 5. M. El-Doma, Analysis of an age-dependent vaccination model, preprint.
6. 6. M. El-Doma, Stability analysis for an age-dependent vaccination model, preprint, (to appear).
7. 7. M. El-Doma, Analysis of an age-dependent vaccination model for a vertically transmitted disease, preprint, (to appear).
8. 8. M. El-Doma, Analysis of a general age-dependent vaccination model, preprint.
9. 9. M. El-Doma, Analysis of nonlinear integro-differential equations arising in age-dependent epidemic models, Nonlinear Analysis, Theory, Methods and Applications 11, 913-937 (1987).
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11. 11. P. Hoppensteadt, Mathematical theory of population demographics, genetics and epidemics, Presented at the CBMS-NSF Regional Conference in Applied Mathematics, Philadelphia, (1975).
12. 12. W. Feller, On the integral equation of renewal theory, Ann. Math. Stat. 12, 243-267 (1941).