We　propose　and　study　a　nonautonomous　harvesting　Lotka–Volterra　commensalism　model　incorporating　partial　closure　for　the　populations.　By　using　the　differential　inequality　theory　we　obtain　sufficient　conditions　that　ensure　the　extinction,　partial　survival,　and　permanence　of　the　system.　By　applying　the　fluctuation　lemma　we　establish　sufficient　conditions　that　ensure　the　extinction　of　one　of　the　components　and　the　stability　of　the　the　other　one.　For　the　permanent　case,　by　constructing　a　suitable　Lyapunov　function　we　obtain　some　sufficient　conditions　for　the　globally　attractivity　of　the　positive　solution　of　the　system.　Examples,　together　with　their　numeric　simulations,　show　the　feasibility　of　the　main　results.　To　ensure　the　stable　coexistence　of　the　two　species,　the　harvesting　area　should　be　carefully　restricted.　©　2018,　The　Author(s).