| 具有Hollinglll功能性反应和扩散的三种群模型的持久性和全局吸引性 |
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| 引用本文： | 章金凤.具有Hollinglll功能性反应和扩散的三种群模型的持久性和全局吸引性[J].福建农业大学学报,2011(2):211-216. |
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| 作者姓名： | 章金凤 |
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| 作者单位： | 福建农林大学计算机与信息学院,福建福州350002 |
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| 摘 要： | 研究一类含有连续时滞的HollingⅢ功能性反应和扩散的三种群捕食一食饵模型，讨论了该模型的一致持久性，从而得到了保证该系统持久性的充分条件；通过构造适当的Lyapunov函数得到了保证此系统全局吸引的充分条件．
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| 关 键 词： | HollingⅢ功能性反应 连续时滞 持久性 全局吸引 |
Permanence and global attractiveness of three species model with Holling HI functional response and diffusion |
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| ZHANG Jin feng.Permanence and global attractiveness of three species model with Holling HI functional response and diffusion[J].Journal of Fujian Agricultural University,2011(2):211-216. |
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| Authors: | ZHANG Jin feng |
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| Affiliation: | ZHANG Jin feng (College of Computer and Information, Fujian Agriculture and Forestry University, Fuzhou, Fujian 350002, China) |
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| Abstract: | A three species model with HoUing m functional response and diffusion was studied. The uniform persistence of this model was discussed, a set of verifiable sttficient conditions which could guarantee the persistence of this system were obtained. By constructing suitabe Lyapunov functions, the sufficient conditions which could guarantee the global attractiveness of this system were obtained. |
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| Keywords: | Holling Ⅲ functional respor se continuous time delay uniform persistence global attractiveness |
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