Under　the　assumption　that　the　feedback　control　variable　could　reduce　the　birth　rate　and　increase　the　death　rate　of　the　species,　a　new　type　of　single-species　feedback　control　system　is　proposed　and　studied.　Sufficient　conditions　are　obtained　to　ensure　the　system　admits　a　unique　globally　asymptotically　stable　positive　equilibrium.　Our　research　shows　that　if　the　birth　rate　of　a　species　is　higher　than　its　death　rate,　the　feedback　control　variable　does　not　affect　the　existence　and　global　stability　of　the　positive　equilibrium.　However,　as　the　feedback　control　goes　up,　the　final　density　of　the　species　goes　down.　　©　2023　IEEE.