Global Attractivity of Pseudo Almost Periodic Solutions to a Class of Lasota-Wazewska Models
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摘要: Lasota-Wazewska模型常被用来描述动物体内红血球的再生情况.基于Banach压缩映射原理同时构造合适的Lyapunov函数,针对一类带时滞的Lasota-Wazewska模型研究了其伪概周期解的存在性、唯一性及全局吸引性.该文结果具有一定的优越性,且能够使关于Lasota-Wazewska模型动力学行为的刻画更加丰富.
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关键词:
- Lasota-Wazewska模型 /
- 伪概周期解 /
- Lyapunov函数 /
- 全局吸引性
Abstract: The Lasota-Wazewska model is often used to describe the regeneration of red blood cells in animals. Based on the Banach contraction mapping principle and through construction of the Lyapunov function, the existence, uniqueness and global attractivity of pseudo almost periodic solutions to a class of Lasota-Wazewska models were studied. The results have some advantages, and can enrich the characterization of the dynamic behavior of the Lasota-Wazewska model. -
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