| 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].井冈山大学自然版,2019,40(3):9-13,23 |
| 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 |
| DYNAMICAL ANALYSIS OF A FRACTIONAL-ORDER PREDATOR-PREY MODEL WITH HOLLING IV FUNCTIONAL RESPONSE |
| 投稿时间：2019-02-21 修订日期：2019-03-12 |
| DOI：10.3969/j.issn.1674-8085.2019.03.002 |
| 中文关键词: 分数阶 平衡点 稳定性 Holling IV型功能反应 |
| 英文关键词: Fractional-Order Stability Equilibrium Point Holling IV Functional Response |
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| 中文摘要: |
| 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。 |
| 英文摘要: |
| 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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