A distributed asynchronous parallel evolutionary modeling algorithm for solving the evolutionary modeling problem of system of ordinary differential equations is proposed in this paper. Performed on a simulated parallel environment consisting of 128 Pentium III 500 PCs connected by a 10Mbps Ethernet, large-scale experiments have been done to systematically test the effect of some important parallel control parameters, which include the degree of connectivity between processors, the migration rate and the migration interval of individuals, on the performance of the algorithm. Many new experimental results are achieved as well as some analysis and explanations are given. Especially the best modeling results for the sequential algorithm and the parallel one are compared at the end.