China’s　birth　rate　has　declined,　but　its　mortality　rate　has　risen　year　after　year　due　to　the　new　coronavirus　pandemic.　Using　the　new　coronavirus　pandemic　as　a　feedback　control　variable,　we　proposed　a　new　non-autonomous　single-population　feedback　control　model　in　which　the　feedback　control　variable　reduces　the　population’s　birth　rate　while　increasing　the　population’s　mortality　rate.　We　determined　sufficient　conditions　for　the　persistence,　extinction,　and　global　stability.　The　analytical　results　are　then　compared　numerically　with　relevant　examples.　©　2024,　International　Association　of　Engineers.　All　rights　reserved.