Global boundedness of the solutions to a Gurtin-MacCamy system

Nonlinear Differential Equations and Applications

Volumn 9, Issue 2, 2002, Pages 197-216

  Iannelli, M ^a   Kim, M Y ^b   Park, E J ^c   Pugliese, A ^a  

^a UNIVERSITY OF TRENTO   (Italy)

^b Inha University   (South Korea)

^c Yonsei University   (South Korea)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0347646792     PISSN: 10219722     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00030-002-8124-y     Document Type: Article

References (9)

1. S. BUSENBERG, M. IANNELLI, Separable models in age-dependent population dynamics. J. Math. Biol. 22 (1985), 145-173.
2. M.E. GURTIN, R.C. MACCAMY, Nonlinear age-dependent population dynamics. Archive for Rational Mechanics and Analysis 54 (1974), 281-300.
3. M.E. GURTIN, R.C. MACCAMY, Some simple models for nonlinear agedependent population dynamics. Math. Biosci. 43 (1979), 199-211.
4. M. IANNELLI, Mathematical Theory of Age-Structured Population Dynamics. Applied Mathematics Monographs, Comitato Nazionale per le Scienze Matematiche, Consiglio Nazionale delle Ricerche (C.N.R.), Vol. 7, Giardini, Pisa 1995.
5. M.-Y. KIM, E.-J. PARK, Long-time behavior of numerical solutions to GurtinMacCamy equations by method of characteristics. Preprint.
6. M. LANGLAIS, Large time behavior in a nonlinear age-dependent population dynamics problem wit spatial diffusion. J. Math. Biol. 26 (1988), 319-346.
7. J.A.J. METZ, O. DIEKMANN, The Dynamics of physiologically structured populations. Springer Lecture Notes in Biomathematics 68 (1986).
8. C. RORRES, Stability of an age specific population with density dependent fertility. Theor: Population Biol. 10 (1976), 26-46.
9. G. WEBB, Theory of Nonlinear Age-Dependent Population Dynamics. Marcel Dekker, New York, 1985.