| 具有Holling IV型功能反应的分数阶捕食者-食饵模型的动力学分析 |
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| 引用本文： | 杜争光.具有Holling IV型功能反应的分数阶捕食者-食饵模型的动力学分析[J].井冈山大学学报（自然科学版）,2019,40(3):9-13,23. |
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| 作者姓名： | 杜争光 |
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| 作者单位： | 陇南师范高等专科学校数学系,甘肃,成县742500 |
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| 摘 要： | 讨论了一类具有Holling IV型功能反应和Leslie-Gower数值反应的分数阶捕食者-食饵模型。利用分数阶微分系统的稳定性理论，给出了该系统在平衡点稳定的必要条件和充分条件。数值模拟也体现了分数阶微分系统的复杂性和丰富性。
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| 关 键 词： | 分数阶 平衡点 稳定性 HollingIV型功能反应 |
| 收稿时间： | 2019/2/21 0:00:00 |
| 修稿时间： | 2019/3/12 0:00:00 |
DYNAMICAL ANALYSIS OF A FRACTIONAL-ORDER PREDATOR-PREY MODEL WITH HOLLING IV FUNCTIONAL RESPONSE |
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| DU Zheng-guang.DYNAMICAL ANALYSIS OF A FRACTIONAL-ORDER PREDATOR-PREY MODEL WITH HOLLING IV FUNCTIONAL RESPONSE[J].Journal of Jinggangshan University(Natural Sciences Edition),2019,40(3):9-13,23. |
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| Authors: | DU Zheng-guang |
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| Institution: | Department of Mathematics, Longnan Teachers College, Chengxian, Gansu 742500, China |
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| Abstract: | A fractional-order predator-prey model with Holling IV functional response and Leslie-Gower type numerical responses is investigated. By applying the stability theory of fractional-orderdifferential systems, we give some necessary conditions and sufficient conditions for the stability of the equilibrium point. Moreover, the numerical simulation also shows that the complexity and richness of the fractional-order differential systems. |
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| Keywords: | Fractional-Order Stability Equilibrium Point Holling IV Functional Response |
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