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All issues Volume 30 (2024) ESAIM: COCV, 30 (2024) 28 References
Open Access
Issue
ESAIM: COCV
Volume 30, 2024
Article Number 28
Number of page(s) 35
DOI https://doi.org/10.1051/cocv/2024018
Published online 09 April 2024
  1. A. Bressan, M.T. Chiri and N. Salehi, On the optimal control of propagation fronts. Math. Models Methods Appl. Sci. 32 (2022) 1109–1140. [CrossRef] [MathSciNet] [Google Scholar]
  2. S. Anita, V. Capasso and S. Scacchi, Controlling the spatial spread of a Xylella epidemic Bull. Math. Biol. 83 (2021) 32. [CrossRef] [PubMed] [Google Scholar]
  3. A. Bressan, M.T. Chiri and N. Salehi, Optimal control of moving sets. J. Differ. Equ. 361 (2023) 97–137. [CrossRef] [Google Scholar]
  4. P.C. Fife, Mathematical Aspects of Reacting and Diffusing Systems. Springer Lecture Notes in Biomathematics. Springer (1979). [CrossRef] [Google Scholar]
  5. A. Volpert, V. Volpert and V. Volpert, Traveling Wave Solutions of Parabolic Systems. Translations of Mathematical Monographs 140. American Mathematical Society, Providence, RI (1994). [CrossRef] [Google Scholar]
  6. D.G. Aronson and H.F. Weinberger, Nonlinear diffusion in population genetics, combustion, and nerve pulse propagation. Partial Differential Equations and Related Topics, Edited by J.A. Goldstein. Springer, Berlin, Heidelberg (1975) 5–49. [Google Scholar]
  7. Y. Hosono and B. Ilyas, Traveling waves for a simple diffusive epidemic model. Math. Models Methods Appl. Sci. 5 (1995) 935–966. [CrossRef] [Google Scholar]
  8. X. Liang and X.Q. Zhao, Spreading speeds and traveling waves for abstract monostable evolution systems. J. Funct. Anal. 259 (2010) 857–903. [CrossRef] [MathSciNet] [Google Scholar]
  9. G.M. Coclite and M. Garavello, A time dependent optimal harvesting problem with measure valued solutions. SIAM J. Control Optim. 55 (2017) 913–935. [CrossRef] [MathSciNet] [Google Scholar]
  10. G.M. Coclite, M. Garavello and L.V. Spinolo, Optimal strategies for a time-dependent harvesting problem. Discrete Contin. Dyn. Syst. Ser. S 11 (2018) 865–900. [MathSciNet] [Google Scholar]
  11. S.M. Lenhart and J.A. Montero, Optimal control of harvesting in a parabolic system modeling two subpopulations. Math. Models Methods Appl. Sci. 11 (2001) 1129–1141. [CrossRef] [MathSciNet] [Google Scholar]
  12. D. Ruiz-Balet and E. Zuazua, Control under constraints for multi-dimensional reaction-diffusion monostable and bistable equations. J. Math. Pures Appl. 143 (2020) 345–375. [CrossRef] [MathSciNet] [Google Scholar]
  13. S. Aniţa, V. Capasso and G. Dimitriu, Regional control for a spatially structured malaria model. Math. Meth. Appl. Sci. 42 (2019) 2909–2933. [CrossRef] [Google Scholar]
  14. S. Aniţa, V. Capasso and A.M. Mosneagu, Global eradication for spatially structured populations by regional control. Discr. Cont. Dyn. Syst. Ser. B 24 (2019) 2511–2533. [Google Scholar]
  15. R.M. Colombo and E. Rossi, A modeling framework for biological pest control. Math. Biosci. Eng. 17 (2020) 1413–1427. [CrossRef] [MathSciNet] [Google Scholar]
  16. L. Seirin, R. Baker, E. Gaffney and S. White, Optimal barrier zones for stopping the invasion of Aedes aegypti mosquitoes via transgenic or sterile insect techniques. Theoret. Ecol. 6 (2013) 427–442. [CrossRef] [Google Scholar]
  17. M.A. Lewis and P. Van Den Driessche, Waves of extinction from sterile insect release. Math. Biosci. 116 (1993) 221–247. [CrossRef] [Google Scholar]
  18. A. Léculier and N. Nguyen, A control strategy for sterile insect techniques using exponentially decreasing releases to avoid the hair-trigger effect. Math. Model. Nat. Phenom. 18 (2023) 25. [CrossRef] [EDP Sciences] [Google Scholar]
  19. E. Trélat, J. Zhu and E. Zuazua, Optimal population control through sterile males (2017). hal-01624448 [Google Scholar]
  20. E. Trélat, J. Zhu and E. Zuazua. Allee optimal control of a system in ecology. Math. Mod. Meth. Appl. Sci. 28 (2018) 1665–1697. [CrossRef] [Google Scholar]
  21. L. Almeida, A. Léculier, G. Nadin and Y. Privat, Optimal control of bistable travelling waves: looking for the best spatial distribution of a killing action to block a pest invasion. HAL Id: hal-03811940. [Google Scholar]
  22. L. Almeida, A. Léculier and N. Vauchelet, Analysis of the ‘Rolling carpet’ strategy to eradicate an invasive species, SIAM J. Math. Anal. 55 (2023) 275–309. [CrossRef] [MathSciNet] [Google Scholar]
  23. A. Bressan and D. Zhang, Control problems for a class of set valued evolutions. Set-Valued Var. Anal. 20 (2012) 581–601. [CrossRef] [MathSciNet] [Google Scholar]
  24. R.M. Colombo and N. Pogodaev, On the control of moving sets: positive and negative confinement results. SIAM J. Control Optim. 51 (2013) 380–401. [CrossRef] [MathSciNet] [Google Scholar]
  25. R.M. Colombo, T. Lorenz and N. Pogodaev, On the modeling of moving populations through set evolution equations. Discrete Contin. Dyn. Syst. 35 (2015) 73–98. [CrossRef] [MathSciNet] [Google Scholar]
  26. L.C. Evans, Partial Differential Equations, 2nd edn. AMS, Providence, RI (2010). [Google Scholar]
  27. A. Bressan and B. Piccoli, Introduction to the Mathematical Theory of Control. AIMS Series in Applied Mathematics, Springfield MO (2007). [Google Scholar]
  28. L. Cesari, Optimization Theory and Applications, Springer-Verlag (1983). [CrossRef] [Google Scholar]
  29. A. Bressan, M. Mazzola and K.T. Nguyen, Approximation of sweeping processes and controllability for a set valued evolution. SIAM J. Control Optim. 57 (2019) 2487–2514. [CrossRef] [MathSciNet] [Google Scholar]
  30. W. Huang, Traveling waves for a biological reaction-diffusion model. J. Dynam. Diff. Equat. 16 (2004) 745–765. [CrossRef] [Google Scholar]

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