| 具有避难所的分数阶捕食系统的稳定性分析 |
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| 引用本文： | 徐国明,赵国忠.具有避难所的分数阶捕食系统的稳定性分析[J].数学的实践与认识,2021(7):315-319. |
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| 作者姓名： | 徐国明 赵国忠 |
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| 作者单位： | 包头师范学院数学科学学院 |
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| 基金项目： | 国家自然科学基金(11761054)。 |
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| 摘 要： | 研究一类具有避难所的分数阶捕食系统,讨论了该系统解的存在唯一性、非负性及有界性,并证明了系统正平衡点的全局渐近稳定性.
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| 关 键 词： | 分数阶 捕食系统 避难所 全局渐近稳定 |
Stabiliy Analysis of a Fractional-Order Predator Prey System with Refuge |
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| XU Guo-ming,ZHAO Guo-zhong.Stabiliy Analysis of a Fractional-Order Predator Prey System with Refuge[J].Mathematics in Practice and Theory,2021(7):315-319. |
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| Authors: | XU Guo-ming ZHAO Guo-zhong |
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| Institution: | (Faculty of Mathematics,Baotou Teachers College,Baotou 014030,China) |
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| Abstract: | In this paper,a fractional-order predator-prey model incorporating a prey refuge is proposed.First prove the existence,uniqueness,non-negativity and boundedness of the solutions for the considered model.Moreover,The global asymptotic stability of the positive equilibrium is proved. |
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| Keywords: | fractional-order predator prey System refuge global asymptotic stability |
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