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Optimal Control for the Forest Kinematic Model

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초록

This paper is concerned with the optimal control for the forest kinematic model. That is, we show the exiatence of the strong solution for the forest kinematic model and then show the existence of the optimal control.

Abstract

This paper is concerned with the optimal control for the forest kinematic model. That is, we show the exiatence of the strong solution for the forest kinematic model and then show the existence of the optimal control.

참고문헌 (10)

  1. Spatial-temporal structure of mixed-age forest boundary: The simplest mathematical model, "M. Ya. Antonovsky", International Institute for Applied Systems Analysis, ~, pp.WP-89-54 (1989)
  2. On the stability analysis of the standing forest boundary, "M. Ya. Antonovsky", International Institute for Applied Systems Analysis, ~, pp.WP-91-010 (1991)
  3. N. C. Apreutesei, "An optimal control prolem for a pest, predator, and plant system", Nonlinear Anal. RWA, 13, pp.1391~1400 (2012)
  4. N. Apreutesei, "An optimal control prolem for a two-prey and one-predator model with diffusion", Comput. Math. Appl, 67, pp.2127~2143 (2014)
  5. V. Barbu, "Mathematical Methods in Optimization of Differential Systems" (1994), Kluwer Academic Publishers
  6. A.J.V. Brandao, "Theoretical analysis and control results for the FitzHugh-Nagumo equation", Electron. J. Differential Equations, 2008(164), pp.1~20 (2008)
  7. L. Zhang, "Optimal control prolem for an ecosystem with two competing preys and one predator", J. Math. Anal. Appl, 424, pp.201~220 (2015)
  8. S.-U. Ryu, "Optimal control of Keller-Segel equations", J. Math. Anal. Appl, 256, pp.45~66 (2001)
  9. J. Simon, "Compact sets in the space Lp(0; T;B)", Ann. Mat. Pura Appl, 146, pp.65~96 (1987)
  10. A. Yagi, "Abstract parabolic evolution equations and their applications" (2010), Springer-Verlag

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