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带有Markovian调制和Poisson跳的随机两种群捕食系统near-optimal捕获问题

Near-optimal Harvesting Control Problem of Stochastic Predator-pray System of Two Species with Markovian Switchings
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摘要 讨论了带有Markovian调制和Poisson跳的随机两种群捕食系统的near-optimal捕获问题.应用Eke-land变分原理和It公式给出了带有Markovian调制和Poisson跳的随机两种群捕食系统near-optimal捕获的必要条件. This paper is concerned with near-optimal harvesting problem for stochastic age-dependent predator-pray system of two species with Markovian switching and Poisson jumps. We obtain the necessary conditions for this system by ItO＇s formula, Barkholder-Davis-Gundy＇s inequality and Ekeland＇s variational principle.
作者 魏冬梅 张启敏
机构地区 宁夏大学数学计算机学院
出处 《河南师范大学学报（自然科学版）》 CAS 北大核心 2013年第1期1-5,10,共6页 Journal of Henan Normal University(Natural Science Edition)
基金 国家自然科学基金(11061024 11261043)
关键词 随机两种群捕食系统 near-optimal Markovian调制 POISSON跳 stochastic predator-pray system of two species near-optimal Markovian switchings Poisson jumps
分类号 O231 [理学—运筹学与控制论]
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参考文献7

  • 1Song Xueyu,Chen Lansun. Optimality harvesting and stability for a two species competitive system with stage structure[J]. Mathematical Biosciiences,2001,170(2) :173- 186.
  • 2Zhao Chun,Wang miansen,Zhao Ping. Optimal control of harvesting for age-dependent predator-prey system[J]. Math Comp Mod,2005. 42(5/6) : 573-584.
  • 3雒志学.具有年龄结构的捕食-食饵种群动力系统的最优收获控制[J].数学的实践与认识,2007,37(12):115-120. 被引量：5
  • 4He Zerong. Optimal harvesting control problem of two competing species with age dependence[J]. Nonlinear Analysis: Real World Appli- cations, 2006,7 (4) : 769-788.
  • 5Mi Ling, Zhang Qimin. Convergence of the Euler Scheme to a Stochastic Competitive Age-structured Population System[C]. Fourth Inter- national Conference on Intelligent Computation Technology and Automation,Shenzhen, 2011.
  • 6Liu Wei,Zhang Qimin. Convergence of numerical solutions to stochastic age-structured system of three species[J]. Applied Mathematics and Computation,2011,218(8) :3973-3980.
  • 7Bahlali K. Necessary and sufficient conditions for near-optimality in Stochastic control of FBSDEs[J]. System Control Letters, 2009,58 (12) :857-864.

二级参考文献9

  • 1Brokate M. Pontryagin's principle for control problems in age-dependent population dynamics[J].J Math Biol, 1985.23:75-101.
  • 2Murphy L F. Smith S J. Optimal harvesting of an age\structured population[J]. J Math. Biol,1990.29:77--90.
  • 3Clark C W. Mathematical Bioeconomics: the Optimal Management of Renewable Resouces[M]. 2ed New York, John Wiley and Sons Inc,1990.36--108.
  • 4Busoni G, Matucci S. A problem of optimal harvesting policy in two-stage age-dependent .population[J].Math Biosci. 1997.143 : 1--33.
  • 5Anita S. Analysis and Control of Age-Dependent Population Dynamics [M]. Dordrecht. Kluwer Academic Publishers. 2000. 39--118.
  • 6Albrecht F, Gatzke H, Haddad A. Wax N. On the control of certain interacting populations[J]. J Math Anal Appl. 1976.53 : 578--603.
  • 7Lenhart S, Liang M. Protopopescu V. Optimal control of boundary habitat hostility for interacting species[J]. Math Mecb Appl Sci.1999,22:1061--1077.
  • 8Crespo L G, Sun J Q. Optimal control of populations of competing species[J]. Nonlinear Dynamics, 2002,27: 197--210.
  • 9Barbu V. Precupanu T. Convexity and Optimization in Banach Spaces[M]. Dordrecht-Boston, D Reidel Publishing Company.1986.25--89.

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河南师范大学学报（自然科学版）
2013年 第1期

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