Free Access
Math. Model. Nat. Phenom.
Volume 5, Number 6, 2010
Ecology (Part 2)
Page(s) 180 - 195
Published online 13 September 2010
  1. N. Apreutesei. Necessary optimality conditions for a Lotka-Volterra three species system. Math. Model. Nat. Phen., 1 (2006), 123-135.
  2. N. Apreutesei. An optimal control problem for prey-predator system with a general functional response. Appl. Math. Letters, 22 (2009), no. 7, 1062-1065. [CrossRef]
  3. V. Barbu. Mathematical methods in optimization of differential systems. Kluwer Academic Publishers, Dordrecht, 1994.
  4. G. Feichtinger ,G. Tragler, V. Veliov. Optimality conditions for age-structured control systems. J. Math. Anal. Appl., 288 (2003), no. 1, 47-68. [CrossRef] [MathSciNet]
  5. M. Garvie, C. Trenchea. Optimal control of a nutrient-phytoplankton-zooplankton-fish system. SIAM J. Control Optim., 46 (2007), no. 3, 775-791. [CrossRef] [MathSciNet]
  6. Z. He,S. Hong, C. Zhang. Double control problems of age-distributed population dynamics. Nonlinear Anal., Real World Appl., 10 (2009), no. 5, 3112-3121. [CrossRef] [MathSciNet]
  7. I. Hrinca, An optimal control problem for the Lotka-Volterra system with diffusion. Panam. Math. J., 12 (2002), no. 3, 23-46.
  8. N. Kato. Maximum principle for optimal harvesting in linear size-structured population. Math. Popul. Stud., 15 (2008), no. 2, 123-136. [CrossRef] [MathSciNet]
  9. Y. Kuang. Some mechanistically derived population models. Math. Biosci. Eng., 4 (2007), no. 4, 1-11. [MathSciNet] [PubMed]
  10. J. D. Murray. Mathematical Biology. Springer Verlag, Berlin-Heidelberg-New York, third edition, 2002.
  11. A. Pazy. Semigroups of Linear Operators and Applications to Partial Differential Equations. Applied Mathematical Sciences, 44. New York etc., Springer- Verlag, 1983.
  12. S. Xu. Existence of global solutions for a predator-prey model with cross-diffusion. Electron. J. Diff. Eqns., (2008), 1-14.
  13. S. Yosida. Optimal control of prey-predator systems with Lagrange type and Bolza type cost functionals. Proc. Faculty Science Tokai Univ., 18 (1983), 103-118.

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