Abstract—We deal with a system of nonlinear ordinary differential equations (ODEs), which models the dynamics of “immortality” 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.

Index Terms—Asymptotic behavior, blowing-up solutions, dynamics of interacting companies, system of nonlinear ordinary differential equations.

Naoyuki Ishimura is with the Graduate School of Economics, Hitotsubashi University, Tokyo, Japan (e-mail: ishimura@ econ.hit-u.ac.jp).
MasaAki Nakamura is with the College of Science and Technology, Nihon University, Kanda-Surugadai, Tokyo, Japan (e-mail: nakamura@math.cst.nihon-u.ac.jp).

Cite: Naoyuki Ishimura and Masaaki Nakamura, "A Model Dynamics of Interacting Firms," International Journal of Applied Physics and Mathematics  vol. 3, no. 2, pp. 143-145, 2013.