%0 Journal Article %T A Model Dynamics of Interacting Firms %A Naoyuki Ishimura %A MasaAki Nakamura %J International Journal of Applied Physics and Mathematics %D 2013 %I IACSIT Press %R 10.7763/ijapm.2013.v3.194 %X We deal with a system of nonlinear ordinary differential equations (ODEs), which models the dynamics of ˇ°immortalityˇ± of interacting companies. The system possesses blowing-up solutions. We determine the asymptotic behavior of these blowing-up solutions, and discuss the meaning in financial economics %K Asymptotic behavior %K blowing-up solutions %K dynamics of interacting companies %K system of nonlinear ordinary differential equations %U http://www.ijapm.org/papers/194-PM010.pdf