MTB tyres with better grip/handling? Wider perhaps?

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Greetings all!

I have recently begun using a mountain bike. It is singlespeed with 26'' wheels and I use it on the cycle paths in nearby Richmond Park. My current tyres are Schwalbe Marathon Plus 1.75s. On the whole the paths I use are fairly flat & hard but other parts are loose gravel/stones - a little road and grass too. On occasion I do lose a little control on the "loose" parts. Would a wider tyre be better too?

Can anyone please recommend a particular tyre or offer some advice?
 
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