Asymptotic stability of a mathematical model of cell population

作者：Negreanu Mihaela^*; Ignacio Tello J

来源：Journal of Mathematical Analysis and Applications, 2014, 415(2): 963-971.

DOI：10.1016/j.jmaa.2014.02.032

• Free boundary problem
• Stability
• Comparison method
• Asymptotic behavior

We consider a simplified system of a growing colony of cells described as a free boundary problem. The system consists of two hyperbolic equations of first order coupled to an ODE to describe the behavior of the boundary. The system for cell populations includes non-local terms of integral type in the coefficients. By introducing a comparison with solutions of an ODE%26apos;s system, we show that there exists a unique homogeneous steady state which is globally asymptotically stable for a range of parameters under the assumption of radially symmetric initial data.

• 出版日期2014-7-15