具有Crowley-Martin型功能反应的随机捕食一被捕食系统的稳定性 |
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引用本文: | 刘显清,钟守铭,项丽江.具有Crowley-Martin型功能反应的随机捕食一被捕食系统的稳定性[J].西南科技大学学报,2014(1):82-86. |
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作者姓名: | 刘显清 钟守铭 项丽江 |
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作者单位: | 电子科技大学数学科学学院,四川成都611731 |
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摘 要: | 研究了一类具有Crowley-Martin型功能反应的随机捕食一被捕食系统,通过构造适当的Lyapunov函数,得到了系统全局随机渐近稳定性的充分条件。
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关 键 词: | 全局随机渐近稳定性 Crowley-Martin型功能反应 白噪声 |
Stability of a Stochastic Predator- prey System with Crowley- Martin Functional Response |
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Institution: | LIU Xian- qing ZHONG Shou- ming XIANG Li -jiang ( School of Mathematics and Science, University of Electronic Science and Technology of China, Chengdu 611731, Sichuan , China) |
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Abstract: | A stochastic predator - prey system with Crowley - Martin functional response was studied. By constructing a suitable Lyapunov function, sufficient conditions for stochastically global asymptotic stabili ty were also established. |
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Keywords: | :Stochastically global asymptotic stability Crowley -Martin functional response White noise |
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