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. |
关键词: 慢性消耗性疾病(CWD)模型 不变代数曲面 达布多项式 |
DOI:10.3969/J.ISSN.1000-5137.2021.03.008 |
分类号:O175.1 |
基金项目:The Natural Science Foundation of Shanghai (19ZR1400500) |
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Invariant algebraic surfaces of a chronic wasting disease model |
YANG Yang, XIE Feng
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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. |
Key words: chronic wasting disease (CWD) model invariant algebraic surfaces Darboux polynomials |