The Periodic Solutions of Impulsive Competition System on Tumor-Normal Cell Interaction

Jiawei Dou, Weiming Zheng
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引用次数: 1

Abstract

In this work we investigate a problem of existence of positive periodic solutions for a class of impulsive differential equations in the plane. This describes generally the competition between normal and tumor cells in a periodically changing environment under chemotherapeutic treatment. The mathematical problem involves a coupled system of Lotka-Volterra together with periodically pulsed conditions. We use the monotone method to construct the upper and lower sequences converging to the periodic solution of the system.
肿瘤-正常细胞相互作用脉冲竞争系统的周期解
本文研究了一类脉冲微分方程在平面上正周期解的存在性问题。这通常描述了正常细胞和肿瘤细胞在化疗治疗下周期性变化的环境中的竞争。这个数学问题涉及到一个周期性脉冲条件下的Lotka-Volterra耦合系统。利用单调法构造了收敛于系统周期解的上下序列。
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