摘要
研究了两个非线性常微分方程系统二次型CSTR模型和SG模型.证明了这两个模型分别存在一个严格的正不变区域且它们在各自的正不变区域内只有一个恒稳定解,这个恒稳定解的Degree是1.这为研究推广的二次型CSTR模型和SG模型解的存在性奠定了基础.
Two systems of nonlinear ordinary differential equations are studied, which are quadratic CSTR model and SG model. Strictly positive invariant regions are found for these models. It is shown that for each model ,there exists only one steady-state solution in invariant region and its degree equals 1. These establish a foundation for studying the patterns of the extended quadratic CSTR model and SG model.
出处
《内蒙古大学学报（自然科学版）》
CAS
CSCD
北大核心
2006年第5期503-507,共5页
Journal of Inner Mongolia University：Natural Science Edition
基金
国家自然科学基金资助项目
华北电力大学引进人才科研基金资助项目~~
