TITLE:
Global Properties of Evolutional Lotka-Volterra System
AUTHORS:
Masafumi Yoshino, Yoshinari Tanaka
KEYWORDS:
Lotka-Volterra System; Global Dynamics; Evolution
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.3 No.9,
December
18,
2013
ABSTRACT:
We will study global properties of evolutional Lotka-Volterra system. We assume that the predatory efficiency is a function of a character of species whose evolution obeys a quantitative genetic model. We will show that the structure of a solution is rather different from that of a non-evolutional system. We will analytically show new ecological features of the dynamics.