Raheem Sterling came racing out of the blocks in the second half with a series of runs and shots, and eventually managed to put City back in front after reacting quickest to Danilo's spilled shot - and has now scored in every game he has played against Bournemouth for City.
It seemingly needs a sleepy start to a game to jolt Manchester United's players into action these days.
Manchester City's Gabriel Jesus celebrates after Raheem Sterling scores their second goal against Bournemouth on Saturday. The hosts failed to take heed and were punished in the 44th minute as Wilson met Simon Francis' cross with a firm header that looped beyond Ederson.
A City side showing five changes produced an uneven performance, and victory was only made certain when Ilkay Gundogan touched in Leroy Sane's low cross with 11 minutes left at the Etihad Stadium.
They have been able to maintain a remarkable level of consistency, with Guardiola able to bring the best out of those at his disposal.
The Reds fell behind to an early Stuart Armstrong strike and when Cedric doubled Southampton's lead from an excellent free-kick the signs looked ominous.
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Though he scored a hat-trick against Shakhtar Donetsk last month, Jesus has scored only one league goal for City in a largely frustrating season to date.
Palace leapt above Huddersfield in the standings by beating Burnley at Selhurst Park to lift the pressure on manager Roy Hodgson.
"In the first half it was flat, a lack of rhythm". Burnley remained in the relegation zone having slipped down to 18th after Cardiff City's 2-1 win over Wolverhampton Wanderers on Friday.
In the race for a top-four finish to qualify for the Champions League, which might be a minimum requirement for Mourinho to stay in his job, United is six points behind fourth-place Chelsea, whose game in hand is against Fulham on Sunday.
Jamie Vardy opened the scoring with a penalty after 12 minutes before James Maddison netted a brilliant volley to move Leicester up to seventh. Felipe Anderson added a third for West Ham in stoppage time, ensuring they move up to 13th in the table, while Rafa Benitez's side drop to 14th.