| 一类具有连续时滞和HollingⅣ功能反应的非自治扩散系统 |
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| 引用本文： | 田宝丹,方小洪.一类具有连续时滞和HollingⅣ功能反应的非自治扩散系统[J].西南民族学院学报(自然科学版),2005,31(3):346-350. |
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| 作者姓名： | 田宝丹 方小洪 |
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| 作者单位： | [1]成都理工大学应用数学系，成都610059 [2]成都理工大学应用数学系，成都610059／／景德镇陶瓷学院信息工程学院，景德镇333001 |
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| 摘 要： | 对一类具有HollingⅣ功能反应和连续时滞的非自治扩散系统进行了研究，得到了系统一致持久生存，正周期解存在和全局稳定的充分判据．
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| 关 键 词： | Holling Ⅳ功能反应 连续时滞 扩散 正周期解 一致持久生存 全局稳定 |
On a nonautonomous diffusive prey-predator system with continuous time-delay and Holling Ⅳ functional response |
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| TIAN Bao-dan,FANG Xiao-hong.On a nonautonomous diffusive prey-predator system with continuous time-delay and Holling Ⅳ functional response[J].Journal of Southwest Nationalities College(Natural Science Edition),2005,31(3):346-350. |
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| Authors: | TIAN Bao-dan FANG Xiao-hong |
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| Abstract: | In this paper, the author consideres a diffusive prey-predator system with Holling IV functional response and continuous time-delay. Some sufficient conditions for the persistence of the system are obtained. Also, when the system is periodic, some sufficient conditions for the existence and asymptotic stability of a periodic solution of the system are given by constructing a special Lyapunov function. |
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| Keywords: | continuous time-delay diffusion uniform persistence positive periodic solution global asymptotic stability |
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