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一个慢性消耗性疾病模型的不变代数曲面
杨洋, 谢峰
东华大学 理学院, 上海 201620
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)
Invariant algebraic surfaces of a chronic wasting disease model
YANG Yang, XIE Feng
College of Science, Donghua University, Shanghai 201620, China
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