REFERENCES
- Alho , J. M. , & Spencer , B. D. ( 2005 ). Statistical demography and forecasting (pp. 166 – 193 ). Berlin , Germany : Springer .
- Almeder , C. ( 2004 ). Solution methods for age-structured optimal control models with feedback . In I. Lirkov , S. Margenov , J. Wasniewski , & P. Yalamov (Eds.), Large-scale scientific computing (Lecture Notes in Computer Science, Vol. 2907 , pp. 197–203). Berlin , Germany : Springer .
- Anand , S. , & Sen , A. ( 1994 ). Human development index: Methodology and measurement (Human Development Report Office Occasional Paper 12). New York , NY : Human Development Report Office .
- Anita , S. , Iannelli , M. , Kim , M. Y. , & Park , E. J. ( 1998 ). Optimal harvesting for periodic age-dependent population-dynamics . SIAM Journal on Applied Mathematics , 58 , 1648 – 1666 .
- Bacaër , N. , Abdurahman , X. , & Ye , J. ( 2006 ). Modeling the HIV = AIDS epidemic among injecting drug users and sex workers in Kunming, China . Bulletin of Mathematical Biology , 68 , 525 – 550 .
- Barbu , V. , Iannelli , M. , & Martcheva , M. ( 2001 ). On the controllability of the Lotka- McKendrick model of population dynamics . Journal of Mathematical Analysis and Applications , 253 ( 1 ), 142 – 165 .
- Canh , N. T. ( 2003 ). El desafío de la población [The population challenge] . Retrieved from http://www.eurosur.org/futuro/03.htm
- Caselles , A. ( 1992a ). Simulation of large scale stochastic systems . In R. Trappl (Ed.), Cybernetics and systems ’92 (pp. 221 – 228 ). Singapore : World Scientific .
- Caselles , A. ( 1992b ). Structure and behavior in general systems theory . Cybernetics and Systems: An International Journal , 23 , 549 – 560 .
- Caselles , A. ( 1993 ). System decomposition and coupling . Cybernetics and Systems: An International Journal , 24 , 305 – 323 .
- Caselles , A. ( 1994 ). Improvements in the systems based program generator SIGEM . Cybernetics and Systems: An International Journal , 25 , 81 – 103 .
- Caselles , A. ( 1998 ). A tool for discovery by complex function fitting . In R. Trappl (Ed.), Cybernetics and systems research ’98 (pp. 787 – 792 ). Vienna , Austria : Austrian Society for Cybernetic Studies .
- Caselles , A. ( 2008 ). Modelización y simulación de sistemas complejos [Modeling and simulation of complex systems] . València , Spain : Universitat de València . Retrieved from http://www.uv.es/caselles
- Caselles , A. , Micó , J. C. , Soler , D. , & Sanz , M. T. ( 2008 ). Population growth and social well-being: A dynamic model approach. In Associação Portuguesa de Complexidade Sistémica (Ed.), Proceedings of the 7th Congress of the UES (Systems Science European Union). Lisbon, Portugal: Associação Portuguesa de Complexidade Sistémica. Retrieved from http://www.afscet.asso.fr/resSystemica/Lisboa08/entete08.htm .
- Caswell , H. , & Weeks , D. E. ( 1986 ). Two-sex models: Chaos, extinction, and other dynamic consequences of sex . The American Naturalist , 128 , 707 – 735 .
- Chowdhury , M. , & Allen , E. J. ( 2001 ). A stochastic continuous-time age-structured population-model . Nonlinear Analysis-Theory Methods & Applications , 47 , 1477 – 1488 .
- Clemons , C. B. , Hariharan , S. I. , & Quinn , D. D. ( 2001 ). Amplitude equations for time solutions of the McKendrick equations . SIAM Journal on Applied Mathematics , 62 , 684 – 705 .
- Djidjeli , K. , Price , W. G. , Temarel , P. , & Twizell , E. H. (1998). Partially implicit schemes for the numerical solutions of some non-linear differential equations. Applied Mathematics and Computation , 96, 177–207.
- Dugarte , A. M. ( 2000 ). Explosión demográfica: Superpoblación [Demographic explosion: Overpopulation] (Doctoral dissertation). Universidad José María Vargas, Caracas, Venezuela .
- Farkas , J. Z. ( 2004 ). Stability conditions for the non-linear McKendrick equations . Applied Mathematics and Computation , 156 , 771 – 777 .
- Feichtinger , G. , Tragler , G. , & Veliov , V. M. ( 2003 ). Optimality conditions for age structured control systems . Journal of Mathematical Analysis and Applications , 288 , 47 – 68 .
- Guo , B.-Z. , & Sun , B. ( 2005 ). Numerical solution to the optimal birth feedback control of a population dynamics: Viscosity solution approach . Optimal Control Applications and Methods , 26 , 229 – 254 .
- Hagerty , M. R. , & Land , K. C. ( 2007 ). Constructing summary indices of quality of life: A model for the effect of heterogeneous importance weights . Sociological Methods and Research , 35 , 455 – 496 .
- Inaba , H. ( 2001 ). Kermack and McKendrick revisited: The variable susceptibility model for infectious diseases . Japan Journal of Industrial and Applied Mathematics , 18 ( 2 ), 273 – 292 .
- Kim , M.-Y. ( 2006 ). Discontinuous Galerkin methods for the Lotka-McKendrick equation with definite life-span . Mathematical Models and Methods in Applied Sciences , 16 , 161 – 176 .
- Land , K. C. , Yang , Y. , & Yi , Z. ( 2005 ). Mathematical demography . In D. L. Poston & M. Micklin (Eds.), Handbook of population (pp. 659 – 717 ). New York , NY : Kluwer Academic/Plenum .
- Letellier , C. , Elaydi , S. , Aguirre , L. A. , & Alaoui , A. ( 2004 ). Difference equations versus differential equations, a possible equivalence for the Rossler system? Physica D: Nonlinear Phenomena , 195 , 29 – 49 .
- Marchetti , C. , Meyer , P. S. , & Ausubel , J. H. ( 1996 ). Human population dynamics revisited with the logistic model: How much can be modeled and predicted? Technological Forecasting and Social Change , 52 , 1 – 30 .
- Micó , J. C. , & Caselles , A. ( 1998 ). Space-time simulation for social systems . In R. Trappl (Ed.), Cybernetics and systems ’98 (pp. 486 – 491 ). Vienna , Austria : Austrian Society for Cybernetics Studies .
- Micó , J. C. , Caselles , A. , & Soler , D. ( 2006 ). Age-structured human population dynamics . Journal of Mathematical Sociology , 30 , 1 – 31 .
- Micó , J. C. , Caselles , A. , Soler , D. , Sanz , T. , & Martínez , E. ( 2008 ). A side-by-side single age-structured human population dynamic model: Exact solution and model validation . Journal of Mathematical Sociology , 32 , 285 – 321 .
- Mischler , S. , Perthame , B. , & Ryzhik , L. ( 2002 ). Stability in a nonlinear population maturation model . Mathematical Models and Methods in Applied Sciences , 12 , 1751 – 1772 .
- Murphy , L. F. , & Smith , S. J. ( 1991 ). Maximum sustainable-yield of a nonlinear 890 population model with continuous age structure . Mathematical Biosciences , 104 , 259 – 270 .
- Norhayati , H. , & Wake , G. C. ( 2003 ). The solution and the stability of a non-linear age-structured population model . ANZIAM Journal of Applied Mathematics , 45 , 153 – 165 .
- Noymer , A. ( 2001 ). The transmission and persistence of urban legends: Sociological 895 application of age-structured epidemic models . Journal of Mathematical Sociology , 25 , 299 – 323 .
- Patten , S. B. ( 1999 ). Epidemics of violence . Medical Hypotheses , 53 , 217 – 220 .
- Pollak , R. A. ( 1986 ). A reformulation of the two-sex problem . Demography , 23 , 247 – 259 .
- Pollak , R. A. ( 1990 ). Two-sex demographic models . Journal of Political Economy , 98 , 399 – 420 .
- Sanz , T. , Micó , J. C. , Caselles , A. , Soler , D. , & Amigó , S. ( 2009 ). New trends in population dynamics . Revista Internacional de Sistemas , 16 , 57 – 69 .
- Schoen , R. ( 1988 ). Modeling multigroup populations . New York , NY : Plenum Press .
- Segarra , J. , Jeger , M. J. , & Vandenbosch , F. (2001). Epidemic dynamics and patterns of plant diseases. Phytopathology , 91, 1001–1010.
- Takada , T. , & Caswell , H. ( 1997 ). Optimal size at maturity in size-structured populations . Journal of Theoretical Biology , 187 , 81 – 93 .
- UNDP . ( 1990–2008 ). Human development report . New York , NY : Oxford University Press . Retrieved from http://hdr.undp.org/en/
- Webb , G. F. ( 1985 ). Theory of nonlinear age-dependent population dynamics . New York , NY : Marcel Dekker .