Vo2max increase initial ramp up, run coach Amy 10km plan

Last year I tried a running workout with the coach and my vo2max increased by 5 points in two months. It then stabilized but never reached the same value as my cycling one (5 more points higher)
but I have to add that I don't put as much effort into running as I do into cycling.

Thanks for the feedback,

lets see, 5 points-2month is impressive, I started at 49 now and gained almost 3points, Based on your comment I feel comfortable to gain 2 points more, reaching 54 :). 

which running coach and targets have had set?

Maybe you can also tell how your cycling vo2max increased, and whether you feel a performance change that correlates to the vo2max increase?

I wanted to improve my 10km time (40min). I tried to do it with coach Jeff Galloway and the improvement occurred on the anaerobic threshold. I have always used the HRM-DUAL heart rate monitor because the optical sensor of the fenix 7x is not precise while you run high intensity repetitions (no watch can be). I recommend using a garmin HRM dual pro o other for precise results.
I have been a cyclist for many years, my vo2max has always been very high (75 at 20 years old, 65 at 30), unfortunately lately it has been going down perhaps because I alternate with running and my legs need to rest more.

Thanks again for your insights, 

I understand , you where already quite fit and then you jumped 5 points last year.  running vo2max

I am planning to buy the HRM pro plus soon, until then I have to work with my Fenix 7x;

Maybe I will try for the next run goal also Jeff, I heard a lot of good recommendations, even though I am quite happy with Amy, 

Are you running without HRM chest strap? Only with watch optical  hrm sensor?

Only optical sensor from my watch. 
hrm I will buy soon …