| 带有Markovian调制和Poisson跳的随机两种群捕食系统near-optimal捕获问题 |
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| 引用本文： | 魏冬梅,张启敏.带有Markovian调制和Poisson跳的随机两种群捕食系统near-optimal捕获问题[J].河南师范大学学报(自然科学版),2013,41(1):1-5,10. |
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| 作者姓名： | 魏冬梅 张启敏 |
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| 作者单位： | 宁夏大学数学计算机学院,银川,750021 |
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| 基金项目： | 国家自然科学基金(11061024;11261043) |
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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.
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| 关 键 词： | 随机两种群捕食系统 near-optimal Markovian调制 Poisson跳 |
Near-optimal Harvesting Control Problem of Stochastic Predator-pray System of Two Species with Markovian Switchings |
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| WEI Dongmei
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ZHANG Qimin.Near-optimal Harvesting Control Problem of Stochastic Predator-pray System of Two Species with Markovian Switchings[J].Journal of Henan Normal University(Natural Science),2013,41(1):1-5,10. |
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| Authors: | WEI Dongmei ZHANG Qimin |
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| Institution: | (School of Mathematics and Computer Science,Ningxia University,Yinchan 750021,China) |
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| Abstract: | 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 It's formula,Barkholder-Davis-Gundy's inequality and Ekeland's variational principle. |
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| Keywords: | stochastic predator-pray system of two species near-optimal Markovian switchings Poisson jumps |
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