摘要
本文讨论具有时滞和扩散的Marchuk模型.根据模型参数求出了模型方程的上、下解,利用单调方法和Liapunov函数分别证明了周期解和概周期解的存在性及其稳定性.
Marchuk＇s model with time delays and diffusion is discussed in this paper. Since the pa- rameters of the model which satisfy some conditions, the upper-lower solutions of this model equa- tions are obtained. The existence and stability of periodic solution and almost periodic solutions are investigated by using monotone iterative method and Liapunov＇s function, respectively.
出处
《应用数学》
CSCD
北大核心
2012年第3期553-559,共7页
Mathematica Applicata
基金
Supported by the Fundamental Research Funds for the Central Universities (CUG090112)
the National Basic Research Program of China(2011CB710602,2011CB710604)
关键词
Marchuk模型
上、下解
周期解
概周期解
稳定性
Marchuk model
Upper-lower solution
Periodic solution
Almost periodic solution
Stability
