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Maintenance of Age-structured Populations: Optimal Control, State Constraints, and Bang-bang Regime

Bibliographic reference Hritonenko, Natali ; Yatsenko, Yuri. Maintenance of Age-structured Populations: Optimal Control, State Constraints, and Bang-bang Regime. In: Journal of Biological Systems, Vol. 17, no. 4, p. 793-816 (2009)
Permanent URL http://hdl.handle.net/2078.1/34268
  1. Aniţa Sebastian, Analysis and Control of Age-Dependent Population Dynamics, ISBN:9789048155903, 10.1007/978-94-015-9436-3
  2. Aniţa Sebastian, Optimal Harvesting for a Nonlinear Age-Dependent Population Dynamics, 10.1006/jmaa.1998.6064
  3. Barbu V., Analysis and Control of Nonlinear Infinite Dimensional Systems (1999)
  4. Barbu V., Iannelli M., Optimal Control of Population Dynamics, 10.1023/a:1021865709529
  5. Brokate Martin, Pontryagin's principle for control problems in age-dependent population dynamics, 10.1007/bf00276559
  6. Goetz Renan-Ulrich, Hritonenko Natali, Yatsenko Yuri, The optimal economic lifetime of vintage capital in the presence of operating costs, technological progress, and learning, 10.1016/j.jedc.2007.12.003
  7. Greenhalgh David, Some results on optimal control applied to epidemics, 10.1016/0025-5564(88)90040-5
  8. Gurtin M., Arch. Ration. Mech. Anal., 3, 281
  9. Medhin N., J. Opt. Theory Appl., 74, 1
  10. Webb G. F., Theory of Nonlinear Age-Dependent Population Dynamics (1985)
  11. Hritonenko Natali, Yatsenko Yuri, The structure of optimal time- and age-dependent harvesting in the Lotka–McKendrik population model, 10.1016/j.mbs.2006.09.008
  12. de la Rosa Diego, Anaya-Romero Maria, Diaz-Pereira Elvira, Heredia Norberto, Shahbazi Farzin, Soil-specific agro-ecological strategies for sustainable land use – A case study by using MicroLEIS DSS in Sevilla Province (Spain), 10.1016/j.landusepol.2009.01.004
  13. Maas James A., Garnsworthy Philip C., Flint Anthony P.F., Modelling responses to nutritional, endocrine and genetic strategies to increase fertility in the UK dairy herd, 10.1016/j.tvjl.2008.02.003
  14. Szabó F., Dákay I., Estimation of some productive and reproductive effects on longevity of beef cows using survival analysis, 10.1016/j.livsci.2008.09.024
  15. Taylor R. E., Scientific Farm Animal Production (2008)
  16. Hritonenko Natali, Yatsenko Yuri, Mathematical Modeling in Economics, Ecology and the Environment, ISBN:9781441948212, 10.1007/978-1-4419-9733-3
  17. Hritonenko N., Math. Methods Oper. Res., 65, 483
  18. Ghaffar A., Shimizu H., Factors affecting age structures and genetic responses to truncation selection schemes in a population with overlapping generations, 10.5713/ajas.1993.497
  19. Yatsenko Yuri, Maximum principle for Volterra integral equations with controlled delay time, 10.1080/02331930410001699919
  20. Ahmed N. U., Optimal Control of Distributed Parameter Systems (1981)
  21. Ioffe A. D., Theory of Extremal Problems (1979)
  22. Neustadt L., Optimization: A Theory of Necessary Conditions (1976)
  23. Hamblin Ann, Policy directions for agricultural land use in Australia and other post-industrial economies, 10.1016/j.landusepol.2009.01.002
  24. Alibert J. -J., Raymond J. -P., A lagrange multiplier theorem for control problems with state constraints, 10.1080/01630569808816854
  25. Warga J., Optimal Control of Differential and Functional Equations (1972)
  26. Hritonenko N., Yatsenko Yu., Turnpike and Optimal Trajectories in Integral Dynamic Models with Endogenous Delay, 10.1007/s10957-005-6395-2
  27. van der Ploeg J.D., Laurent C., Blondeau F., Bonnafous P., Farm diversity, classification schemes and multifunctionality, 10.1016/j.jenvman.2008.11.022
  28. Hritonenko Natali, Yatsenko Yuri, Optimization of harvesting age in an integral age-dependent model of population dynamics, 10.1016/j.mbs.2005.03.001
  29. Murphy L. F., J. Math. Biol., 29, 77