A　neutral　multispecies　Logarithmic　population　model　is　proposed　in　this　paper.　By　using　the　contraction　mapping　principle　and　constructing　a　suitable　Lyapunov　functional,　a　set　of　easily　applicable　criteria　are　established　for　the　existence,　uniqueness　and　global　attractivity　of　positive　periodic　solution　(positive　almost　periodic　solution)　of　the　model.　(c)　2005　Elsevier　Inc.　All　rights　reserved.