The Periodic Solutions of Impulsive Competition System on Tumor-Normal Cell Interaction
- Resource Type
- Conference
- Authors
- Dou, Jia-wei; Zheng, Wei-wei
- Source
- 2010 4th International Conference on Bioinformatics and Biomedical Engineering Bioinformatics and Biomedical Engineering (iCBBE), 2010 4th International Conference on. :1-4 Jun, 2010
- Subject
- Bioengineering
Communication, Networking and Broadcast Technologies
Computing and Processing
Tumors
Differential equations
Mathematical model
Educational institutions
Mathematics
Information science
Biomass
Drugs
- Language
- ISSN
- 2151-7614
2151-7622
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.