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All issues Volume 9 / No 4 (2014) Math. Model. Nat. Phenom., 9 4 (2014) 122-130 References
Free Access
Issue
Math. Model. Nat. Phenom.
Volume 9, Number 4, 2014
Optimal control
Page(s) 122 - 130
DOI https://doi.org/10.1051/mmnp/20149408
Published online 20 June 2014
  1. A.S. Ackleh, H.T. Banks, K. Deng. A finite difference approximation for a coupled system of nonlinear size- structured populations. Nonlinear Anal., 50 (2002), 727–748. [CrossRef] [MathSciNet] [Google Scholar]
  2. S. Anita. Analysis and control of age-dependent population dynamics. Kluwer Acad. Publ., Dordrech, 2000. [Google Scholar]
  3. A. Calsina, J. Saldaña. A model of physiologically structured population dynamics with a nonlinear individual growth rate. J. Math. Biol., 33 (1995), 335–364. [CrossRef] [Google Scholar]
  4. D. Daners, P. Koch Medina. Abstract evolution equations, periodic problems and applications. Pitman Research Notes in Mathematics Series Vol. 279, Longman Scientific & Technical, 1992. [Google Scholar]
  5. A.M. de Roos. A gentle introduction to physiologically structured population models. in Structured-population models in marine, terrestrial, and freshwater systems (S. Tuljapurkar and H. Caswell eds.), Chapman & Hall, New York, 1996. [Google Scholar]
  6. J.Z. Farkas, T. Hagen. Stability and regularity results for a size-structured population model. J. Math. Anal. Appl., 328 (2007), 119–136. [CrossRef] [MathSciNet] [Google Scholar]
  7. N. Hritonenko, Yu. Yatsenko, R. Goetz, A. Xabadia. Optimal harvesting in forestry: steady-state analysis and climate change impact. J. Biological Dynamics, 7 (2012), 41-58. [CrossRef] [Google Scholar]
  8. N. Kato, H. Torikata. Local existence for a general model of size-dependent population dynamics. Abstract Appl. Anal., 2 (1997) 207–226. [CrossRef] [Google Scholar]
  9. N. Kato. Positive global solutions for a general model of size-dependent population dynamics. Abstract Appl. Anal., 5 (2000) 191–206. [CrossRef] [Google Scholar]
  10. N. Kato. A general model of size-dependent population dynamics with nonlinear growth rate. J. Math. Anal. Appl., 297 (2004), 234–256. [CrossRef] [Google Scholar]
  11. N. Kato. Linear size-structured population models and optimal harvesting problems. J. Ecol. Dev., 5 (2006), No. F06, 6–19. [Google Scholar]
  12. C. Walker. Some remarks on the asymptotic behavior of the semigroup associated with age-structured diffusive populations. Monatsh Math., 170 (2013), 481–501. [Google Scholar]
  13. G.F. Webb. Theory of Nonlinear Age-Dependent Population Dyanmics. Marcel Dekker, New York, 1985. [Google Scholar]
  14. G.F. Webb. Population models structured by age, size, and spatial position. in Structured population models in biology and epidemiology, Lecture Notes in Math. 1936, Springer, Berlin, 2008. [Google Scholar]

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