Commun. Korean Math. Soc. 2018; 33(3): 1039-1048
Online first article March 20, 2018 Printed July 1, 2018
https://doi.org/10.4134/CKMS.c170267
Copyright © The Korean Mathematical Society.
Shihe Xu
Zhaoqing University
In this paper we study the dynamics of a general $\omega$-periodic model. Necessary and sufficient conditions for the global stability of zero steady state of the model are given. The conditions under which there exists a unique periodic solutions to the model are determined. We also show that the unique periodic solution is the global attractor of all other positive solutions. Some applications to mathematical models for cancer and tumor growth are given.
Keywords: stability, periodic solution, mathematical model
MSC numbers: 34C25, 34D05
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