  In our previous paper \cite{8}, we proposed a cosmological model from the
emergence of space, which possesses a significant character of evaluating the
vacuum energy from the Hubble constant and the age of universe. And one problem
of this model is that there is no inflation in the early universe. In this
paper, we aim at resolving this problem which leads us to a rather surprising
conclusion that our cosmological model can avoid the horizon and flatness
problems.
