Free Access
Math. Model. Nat. Phenom.
Volume 9, Number 4, 2014
Optimal control
Page(s) 6 - 19
Published online 20 June 2014
  1. B. Ainseba, S. Aniţa. Internal nonnegative stabilization for some parabolic equations. Comm. Pure Appl. Math., 7 (2008), no. 3, 491–512. [Google Scholar]
  2. L.-I. Aniţa, S. Aniţa, V. Arnăutu. Internal null stabilization for some diffusive models in population dynamics. Appl. Math. Comput., 219 (2013), no. 20, 10231–10244. [CrossRef] [Google Scholar]
  3. S. Aniţa, V. Capasso. A stabilization strategy for a reaction-diffusion system modelling a class of spatially structured epidemic systems (think globally, act locally). Nonlin. Anal. Real World Appl. 10 (2009), no. 4, 2026–2035. [CrossRef] [Google Scholar]
  4. S. Aniţa, W. Fitzgibbon, M. Langlais. Global existence and internal stabilization for a class of predator-prey systems posed on non coincident spatial domains. Discrete Cont. Dyn. Syst.- B, 11 (2009), no. 4, 805–822 [CrossRef] [Google Scholar]
  5. V. Barbu. Analysis and Control of Nonlinear Infinite Dimensional Systems. Academic Press, Boston, 1993. [Google Scholar]
  6. V. Barbu. Partial Differential Equations and Boundary value problems. Kluwer Academic Press, Dordrecht, 1998. [Google Scholar]
  7. V. Capasso, R.E. Wilson. Analysis of a reaction-diffusion system modelling man-environment-man epidemics. SIAM J. Appl. Math. 57 (1997), no. 2, 327–346. [CrossRef] [Google Scholar]
  8. K. Deimling. Nonlinear Functional Analysis. Springer-Verlag, Berlin, 1985. [Google Scholar]
  9. R.A. Fisher. The wave of advance of advantageous genes. Ann. Eugen. 7 (1937), 355–369. [CrossRef] [Google Scholar]
  10. A.V. Fursikov, O. Yu. Imanuvilov. Controllability of Evolution Equations. Lecture Notes Series 34, RIM Seoul National University, Korea, 1996. [Google Scholar]
  11. S. Genieys, V. Volpert, P. Auger. Pattern and waves for a model in population dynamics with nonlocal consumption of resources. Math. Modelling Nat. Phenom. 1, (2006), no. 1, 65–82. [Google Scholar]
  12. J.-M. Ghidaglia. Some backward uniqueness results. Nonlin. Anal. TMA, 10 (1986), no. 8, 777–790. [Google Scholar]
  13. W.M. Haddad, V.S. Chellaboina, Q. Hui. Nonnegative and Compartmental Dynamical Systems. Princeton Univ. Press, Princeton, New Jersey, 2010. [Google Scholar]
  14. A. Henrot, El Haj Laamri, D. Schmitt. On some spectral problems arising in dynamic populations. Comm. Pure Appl. Anal. 11 (2012), no. 6, 2429–2443. [CrossRef] [Google Scholar]
  15. A. Henrot, M. Pierre. Variation et Optimisation de Formes. Une Analyse Géométrique. Springer, Berlin, 2005. [Google Scholar]
  16. B. Kawohl. Rearrangements and Convexity of Level Sets in PDE. Springer Lecture Notes in Math. 1150, 1985. [Google Scholar]
  17. J. Klamka. Controllability for partial functional differential equations. Advances in Mathematical Population Dynamics, World Scientific, Ch. 7, 809-814, Houston, 1997. [Google Scholar]
  18. J. Klamka. Reachability and controllability of positive continuous-time linear systems with time variable coefficients. Bull. Pol. Acad. Sci., Tech. Sci., 49 (2001), no. 4, 633–641. [Google Scholar]
  19. G. Lebeau, L. Robbiano. Contrôle exact de l’équation de la chaleur. Comm. in PDE, 20 (1-2) (1995), 335–357. [CrossRef] [Google Scholar]
  20. J.-L. Lions. Controlabilité Exacte, Stabilisation et Perturbation de Systemes Distribués. RMA 8, Masson, Paris, 1988. [Google Scholar]
  21. A. Okubo. Diffusion and Ecological Problems: Mathematical Models. Springer-Verlag, Berlin, 1980. [Google Scholar]
  22. J.D. Murray. Mathematical Biology. II. Spatial Models and Biomedical Applications, 3rd edition. Springer-Verlag, New York, 2003. [Google Scholar]
  23. M.H. Protter, H.F. Weinberger. Maximum Principles in Differential Equations. Springer-Verlag, New York, 1984. [Google Scholar]
  24. J. Smoller. Shock Waves and Reaction Diffusion Equations. Springer Verlag, Berlin, 1983. [Google Scholar]

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