Toward quantifying the spectrum of recovery functions

Dynamics of Continuous, Discrete and Impulsive Systems Series B: Application and Algorithm

Volumn 7, Issue 1, 2000, Pages 1-17

  Kribs Zaleta, Christopher ^a  

^a UNIVERSITY OF TEXAS AT ARLINGTON   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0008956256     PISSN: 14928760     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (17)

1. F. Brauer, Absolute stability in delay equations, Journal of Differential Equations, 69, (1987) 185-191.
2. F. Brauer, A class of Volterra integral equations arising in delayed-recruitment population models, Natural Resource Modeling, 2, 259-278 (1987).
3. F. Brauer, Some infectious disease models with population dynamics and general contact rates, Differential and Integral Equations, 3, (1990) 827-836.
4. F. Brauer, Models for the spread of universally fatal diseases, J. Math. Biol., 28, (1990) 451-462.
5. F. Brauer, Models for the spread of universally fatal diseases II, in Differential Equation Models in Biology, Epidemiology and Ecology, Proceedings, Claremont 1990, ed. S. Busenberg and M. Martelli, Springer-Verlag, New York, 1991, 57-69.
6. F. Brauer, A characteristic equation arising in models for diseases with vertical transmission and without immunity, to appear in Proceedings, Claremont, June 1994 (in memory of Stavros Busenberg), ed. M. Martelli.
7. F. Brauer, Models for diseases with vertical transmission and nonlinear population dynamics, Mathematical Biosciences, 128, (1995) 13-24.
8. F. Brauer, C. Castillo-Chavez, and J. X. Velasco-Hernandez, Recruitment effects in heterosexually transmitted disease models, Biometrics Unit Technical Report 93-55, Cornell University, August 1993.
9. F. Brauer and Z. Ma, Stability of stage-structured population models, J. Math. Analysis and Applications, 128, (1987) 301-315.
10. D.-Y. Hao and F. Brauer, Analysis of a characteristic equation, Journal of Integral Equations and Applications, 3, (1991) 239-254.
11. H. W. Hethcote, H. W. Stech, and P. van den Driessche, Stability analysis for models of diseases without immunity, J. Math Biol., 13, (1981) 185-198.
12. H. W. Hethcote and P. van den Driessche, An SIS epidemic model with variable population size and a delay, J. Math. Biol., 33, (1995) 177-194.
13. C. M. Kribs, Core recruitment effects in modeling a sexually transmitted disease, doctoral dissertation, University of Wisconsin, 1997.
14. G. F. Webb, Theory of nonlinear age-dependent population dynamics, Marcel Dekker, New York, 1985.
15. J. E. Wilkins, Jr., The differential-difference equation for epidemics, Bull. Math. Biophys., 7, (1945) 149-150.
16. E. B. Wilson and M. H. Burke, The epidemic curve, Proc. Nat. Acad. Sci., 28, (1942) 361-367.
17. E. B. Wilson and J. Worcester, A second approximation to Soper's epidemic curve, Proc. Nat. Acad. Sci., 30, (1944) 37-44.