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Theory of optimal harvesting for a nonlinear size-structured population in periodic environments 被引量:4

Theory of optimal harvesting for a nonlinear size-structured population in periodic environments
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出处 《International Journal of Biomathematics》 2014年第4期201-218,共18页 生物数学学报(英文版)
关键词 环境理论 最优收获 非线性 周期性 人口结构 EKELAND变分原理 最优化条件 可再生能源 Body size population model harvesting fixed point normal cone Ekeland'sprinciple.
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参考文献19

  • 1L.-I. Anita, S. Anita and V. Arnautu, Optimal harvesting for periodic age-dependent population dynamics with logistic term, Appl. Math. Comput. 215 (2009) 2701-2715.
  • 2S. Anita, Analysis and Control of Age-Dependent Population Dynamics (Kluwer Academic Publishers, Dordrecht, 2000).
  • 3S. Anita, M. Iannelli, M.- Y. Kim and E.-J. Park, Optimal harvesting for periodic age-dependent population dynamics, SIAM J. Appl. Math. 58 (1998) 1648-1666.
  • 4L. W. Botsford, Optimal fishery policy for size-specific, density-dependent population models, J. Math. BioI. 12 (1981) 265-293.
  • 5H. Caswell, Matrix Population Models: Construction, Analysis and Interpretation, 2nd edn. (Sinauer Associations, Sunderland, MA, 2001).
  • 6J. M. Cushing, An Introduction to Structured Population Dynamics (SIAM, Philadelphia, 1998).
  • 7B. Ebenman and L. Persson, Size-Structured Populations: Ecology and Evolution (Springer, Berlin, 1988).
  • 8Z.-R. He and Y. Liu, An optimal birth control problem for a dynamical population model with size-structure, Nonlinear Anal. Real World Appl. 13 (2012) 1369-1378.
  • 9N. Hritonenko, Y. Yatsenko, R.-U. Goetz and A. Xabadia, Maximum principle for a size-structured model of forest and carbon sequestration management, Appl. Math. Comput. 21 (2008) 1090-1094.
  • 10M. Iannelli, Mathematical Theory of Age-Structured Population Dynamics (Giardini Editori e Stampatori, Pisa, 1995).

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