No Nyanko No Life: Bokura no Chiiki Neko Keikaku

They're not meant to be fed nor exterminated. So just what are "community cats" that are meant to simply coexist with humans?

Sou Fujima has just lost his beloved cat, Chiiko, who he had lived with since he was a child. Overwhelmed with grief, he ended up cutting himself off from the world and holed up in his room until one day, something appeared in front of him! Both happiness and connections to the heart, all will be taught by cats. This is a story brought about by these tiny lives.

(Source: Shueisha, translated)