The application of an age-structured model with unbounded mortality to demography

Mathematical Biosciences

Volumn 208, Issue 2, 2007, Pages 495-520

  Angulo, Oscar ^a   López Marcos, Juan Carlos ^a   Milner, Fabio Augusto ^b  

^a UNIVERSITY OF VALLADOLID   (Spain)

^b PURDUE UNIVERSITY   (United States)

Author keywords

Demography; Maximal age; Numerical methods; Simulation

Indexed keywords

COMPUTER SIMULATION; MATHEMATICAL MODELS; NUMERICAL METHODS; SENSITIVITY ANALYSIS;

DEMOGRAPHY; MAXIMAL AGE; MORTALITY;

POPULATION DYNAMICS;

AGE STRUCTURE; DEMOGRAPHIC SURVEY; LOTKA-VOLTERRA MODEL; MORTALITY; NUMERICAL METHOD; POPULATION MODELING; SENSITIVITY ANALYSIS;

AGE DISTRIBUTION; ARTICLE; DEMOGRAPHY; EXPERIMENTAL MODEL; MATHEMATICAL COMPUTING; MORTALITY; SIMULATION;

ADOLESCENT; ADULT; AGE DISTRIBUTION; AGED; AGED, 80 AND OVER; CHILD; CHILD, PRESCHOOL; DEMOGRAPHY; FEMALE; FERTILITY; HUMANS; INFANT; INFANT, NEWBORN; MATHEMATICS; MIDDLE AGED; MODELS, BIOLOGICAL; MODELS, STATISTICAL; MORTALITY;

NORTH AMERICA; UNITED STATES;

EID: 34547094144     PISSN: 00255564     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.mbs.2006.11.001     Document Type: Article

References (22)

1. Abia L.M., Angulo O., and López-Marcos J.C. Age-structured population dynamics models and their numerical solutions. Ecol. Model. 188 (2005) 112
2. Angulo O., López-Marcos J.C., and López-Marcos M.A. A numerical integrator for a model with a discontinuous sink term: the dynamics of the sexual phase of monogonont rotifera. Nonlin. Anal. Real World Appl. 6 (2005) 935
3. Coale A.J. The Growth and Structure of Human Populations (1972), Princeton University, Princeton, NJ
4. Cushing J.M. An Introduction to Structured Populations Dynamics, CMB-NSF Regional Conference Series in Applied Mathematics (1998), SIAM, Philadelphia
5. M. Iannelli, Mathematical Theory of Age-Structured Population Dynamics, Applied Mathematics Monographs. CNR, Giardini Editori e Stampatori, Pisa, 1994.
6. Iannelli M., Martcheva M., and Milner F.A. Gender-Structured Population Modeling: Mathematical Methods, Numerics and Simulations (2005), SIAM, Philadelphia
7. Iannelli M., and Milner F.A. On the approximation of the Lotka-McKendrick equation with finite life-span. J. Comput. Appl. Math. 136 (2001) 245
8. Keifitz N., and Caswell H. Applied Mathematical Demography. third ed. (2005), Springer, New York
9. Kim M.Y., and Kwon Y. A collocation method for the Gurtin-MacCamy equation with finite life-span. SIAM J. Numer. Anal. 39 6 (2002) 1914
10. Leslie P.H. On the use of matrices in certain population mathematics. Biometrika 33 (1945) 183
11. Leslie P.H. Some further notes on the use of matrices in population mathematics. Biometrika 35 (1948) 213
12. Lewis E.G. On the generation and growth of a population. Sankya: Ind. J. Statist. 6 (1942) 93
13. Lotka A.J. Elements of Physical Biology (1925), Williams and Wilkins, Baltimore
14. McKendrick A.G. Applications of the mathematics to medical problems. Proc. Edinburgh Math. Soc 44 (1926) 98
15. McNown R., and Rogers A. Forecasting mortality: A parametrized time series approach. Demography 26 (1989) 645
16. Milner F.A., and Rabbiolo G. Rapidly converging numerical algorithms for models of population dynamics. J. Math. Biol. 30 (1992) 733
17. Rogers A. Parametrized multistate population dynamics and projections. J. Am. Statist. Assoc. 81 (1986) 48
18. Song J., and Yu J. Population System Control (1988), Springer Verlag, Beijing, China
19. Usher M.B. A matrix model for forest management. Biometrics 25 (1969) 309
20. Vital Statistics of the United States, vol. II, Section 6: Table 6-2, September 1994. 1990 Life Tables: Number of Survivors at Single Years of Age.
21. National Vital Statistics Reports 51, No. 3: Table 3 (December 19, 2002). Life table for females: United States, 2000.
22. Whelpton P.K. An empirical method of calculating future population. J. Am. Statist. Assoc. 31 (1936) 457