Permanence, extinction and periodic solutions in a mathematical model of cell populations affected by periodic radiation

DOI10.1016/j.aml.2011.04.036zbMath1216.92029OpenAlexW2085171789MaRDI QIDQ550483

Zijian Liu, Chun Yin, Wu-Fan Chen, Shou-ming Zhong

Publication date: 11 July 2011

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2011.04.036

zbMATH Keywords

stabilitypermanence

Mathematics Subject Classification ID

Probabilistic models, generic numerical methods in probability and statistics (65C20) Periodic solutions to ordinary differential equations (34C25) Medical applications (general) (92C50) Cell biology (92C37)

Related Items (7)

Dynamics of almost periodic solutions for a discrete Fox harvesting model with feedback control ⋮ Analytical behavior prediction for skewed thick plates on elastic foundation ⋮ Periodic solutions of angiogenesis models with time lags ⋮ On the role of optimization in the cancer treatment by radiation therapy (RT) ⋮ A mathematical model of cancer treatment by radiotherapy followed by chemotherapy ⋮ Soluciones periódicas para un modelo de población celular sujeto a una radiación periódica general ⋮ A mathematical model of cancer treatment by radiotherapy

Cites Work

• Stability criteria for the cure state in a cancer model with radiation treatment
• Stability theory and the existence of periodic solutions and almost periodic solutions
• An iterative scheme for the \(N\)-competing species problem
• On the periodic Lotka-Volterra competition model
• DNA damage caused by ionizing radiation
• Persistence and extinction in a mathematical model of cell populations affected by radiation
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Permanence, extinction and periodic solutions in a mathematical model of cell populations affected by periodic radiation