The cosmic-ray positron flux calculated using the cosmic-ray nuclei interactions in our Galaxy can not explain observed data above 10 GeV .
An excess in the measured positron flux is therefore open to interpretation .
Nearby pulsars , located within sub-kiloparsec range of the Solar system , are often invoked as plausible sources contributing to the excess .
We show that an additional , sub-dominant population of sources together with the contributions from a few nearby pulsars can explain the latest positron excess data from the Alpha Magnetic Spectrometer ( AMS ) .
We simultaneously model , using the DRAGON code , propagation of cosmic-ray proton , Helium , electron and positron and fit their respective flux data .
Our fit to the Boron to Carbon ratio data gives a diffusion spectral index of 0.45 , which is close to the Kraichnan turbulent spectrum .