| 一个慢性消耗性疾病模型的不变代数曲面 |
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| 引用本文： | 杨洋,谢峰.一个慢性消耗性疾病模型的不变代数曲面[J].上海师范大学学报(自然科学版),2021,50(3):343-354. |
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| 作者姓名： | 杨洋 谢峰 |
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| 作者单位： | 东华大学 理学院, 上海 201620 |
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| 基金项目： | The Natural Science Foundation of Shanghai (19ZR1400500) |
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| 摘 要： | 研究了一个由三维常微分方程组成的慢性消耗性疾病(CWD)模型.用特征曲线法求出了该系统的全部不变代数曲面,并给出广义首次积分存在的条件.
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| 关 键 词： | 慢性消耗性疾病(CWD)模型 不变代数曲面 达布多项式 |
| 收稿时间： | 2021/1/22 0:00:00 |
Invariant algebraic surfaces of a chronic wasting disease model |
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| YANG Yang,XIE Feng.Invariant algebraic surfaces of a chronic wasting disease model[J].Journal of Shanghai Normal University(Natural Sciences),2021,50(3):343-354. |
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| Authors: | YANG Yang XIE Feng |
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| Institution: | College of Science, Donghua University, Shanghai 201620, China |
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| Abstract: | In this paper we study a chronic wasting disease (CWD) model of three dimensional ordinary differential equations. We use the method of characteristic curves to give a complete classification of this system with invariant algebraic surfaces. In addition, we give some conditions of this system on the existence of generalized first integrals. |
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| Keywords: | chronic wasting disease (CWD) model invariant algebraic surfaces Darboux polynomials |
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