title: A mathematical model of cancer treatment by radiotherapy.
abstract: A periodic mathematical model of cancer treatment by radiotherapy is presented and studied in this paper. Conditions on the coexistence of the healthy and cancer cells are obtained. Furthermore, sufficient conditions on the existence and globally asymptotic stability of the positive periodic solution, the cancer eradication periodic solution, and the cancer win periodic solution are established. Some numerical examples are shown to verify the validity of the results. A discussion is presented for further study.
authors.affiliation: School of Science, Chongqing Jiaotong University, Chongqing 400074, China ; Department of Mathematics, Hangzhou Normal University, Hangzhou, Zhejiang 310036, China.
authors.forename: Zijian
authors.identifier: 0000-0002-9481-8027
authors.initials: Z
authors.lastname: Liu
authors.affiliation: School of Computer Science and Engineering, University of Electronic Science and Technology of China, Chengdu 610054, China.
authors.forename: Chenxue
authors.initials: C
authors.lastname: Yang
mesh_terms: D006801:Humans; D008495:Medical Oncology / Q000379:methods; D008954:Models, Biological; D008962:Models, Theoretical; D009369:Neoplasms / Q000532:radiotherapy*; D011829:Radiation Dosage; D011878:Radiotherapy / Q000379:methods*; D013997:Time Factors; D016896:Treatment Outcome