一个慢性消耗性疾病模型的不变代数曲面  

Invariant algebraic surfaces of a chronic wasting disease model

作　　者：杨洋 谢峰[1] YANG Yang;XIE Feng(College of Science,Donghua University,Shanghai 201620,China)

机构地区：[1]东华大学理学院,上海201620

出　　处：《上海师范大学学报（自然科学版）》2021年第3期343-354,共12页Journal of Shanghai Normal University(Natural Sciences)

基　　金：The Natural Science Foundation of Shanghai(19ZR1400500)。

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.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.

关 键 词：慢性消耗性疾病(CWD)模型 不变代数曲面 达布多项式 

分 类 号：O175.1[理学—数学]