Weakly coupled hyperbolic systems modeling the circulation of FeLV in structured feline populations

Mathematical Biosciences

Volumn 165, Issue 1, 2000, Pages 79-95

  Fitzgibbon, W E ^a   Langlais, Michel ^b  

^a University of Houston   (United States)

^b UNIVERSITÉ BORDEAUX 1   (France)

Author keywords

FeLV; Global existence; Hyperbolic systems; Infectious disease

Indexed keywords

ARTICLE; CAT; DISEASE PREDISPOSITION; ENDEMIC DISEASE; FELINE LEUKEMIA VIRUS; MATHEMATICAL MODEL; NONHUMAN; STEADY STATE; VIRUS INFECTION; VIRUS TRANSMISSION;

ANIMALS; CAT DISEASES; CATS; LEUKEMIA VIRUS, FELINE; MODELS, BIOLOGICAL; RETROVIRIDAE INFECTIONS; TUMOR VIRUS INFECTIONS;

CATUS; FELIDAE; FELINE LEUKEMIA VIRUS; FELIS CATUS; UNIDENTIFIED RETROVIRUS;

EID: 0034066149     PISSN: 00255564     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0025-5564(00)00011-0     Document Type: Article

References (12)

1. Lubkin S.R., Romatowski J., Zhu M., Kulesa P.M., White K.A.J. Evaluation of feline leukemia virus control measures. J. Theoret. Biol. 178:1996;53.
2. Fromont E., Artois M., Langlais M., Courchamp F., Pontier D. Modelling the feline leukemia virus FeLV in natural populations of cats (felis catus). Theoret. Pop. Biol. 52:1997;60.
3. Fromont E., Pontier D., Langlais M. Dynamics of a feline retrovirus FeLV in host populations with variable structures. Proc. R. Soc. London B. 265:1998;1097.
4. Hoppensteadt F. An age dependent epidemic model. J. Franklin Inst. 197:1974;325.
5. S. Busenberg, K. Cooke, Vertically Transmitted Diseases, Biomathematics Series, vol. 23, Springer, Berlin, 1993.
6. Webb G. Theory of Nonlinear Age-Dependent Population Dynamics. 1985;Marcel Dekker, New York.
7. M. Iannelli, Mathematical theory of Age-Structured Population Dynamics, Applied Mathematics Monographs No. 7, C.N.R., Pisa, 1994.
8. W.O. Kermack, A.C. McKendrick, Contributions to the mathematical theory of epidemics, Proc. R. Soc. London A 115 (1927); Reprinted Bull. Math. Biol. 51 (1991) 33.
9. W.O. Kermack, A.C. McKendrick, Contributions to the mathematical theory of epidemics, Proc. R. Soc. London A 115 (1927); Reprinted Bull. Math. Biol. 51 (1991) 33.
10. Busenberg S., Iannelli M., Thieme H. Global behavior of an age-structured epidemic S-I-S model. SIAM J. Math. Anal. 22:1991;1065.
11. de Jong M.C.M, Diekmann O., de Koeijer A.A., Reinders P. The force of infection in populations of varying size: a modeling problem. J. Biol. Syst. 3:1995;519.
12. Langlais M. Large time behavior in a non-linear age dependent population dynamics problem with diffusion. J. Math. Biol. 26:1988;319.