Effect of nearby supernova remnants on local Cosmic-Rays

We study in detail the effect of different particle release times from sources on the cosmic-ray (CR) spectrum below ${10}^{15}eV$ in the Galaxy. We discuss different possible forms of particle injection such as burst-like injection, continuous injection for a finite time, injection from a stationary source and energy dependent injection. When applied to the nearby known supernova remnants, we find that the observed CR anisotropy data favour the burst-like particle injection model for the CR diffusion coefficient $D(E)\propto E^a$ with $a=0.3-0.6$ in the local region. In the study we have also found that the contribution of the sources G114.3+0.3 and Monogem dominate if the observed anisotropy is a result of the effect of the nearby sources. Further study shows that we should not neglect the contribution of the undetected old sources to the local CR anisotropy.