Presenting a mathematical model at a technical conference
We can be sure you do not have more than 20-25 minutes for your presentation.
As you implied, in such conferences you have to satisfy the novice audience along with the most professional one. So it is highly recommended that you try to present for all of the audience in proper time limits.

In my opinion, SOMETIMES it is necessary to get into some details in order to show the professionals what you did (in reputable conferences mostly). Also you should not make your ordinary audiences bored. So you can show the beginners the big picture such as ideas, examples, etc. (not so much detail) and in some few slides you may want to show some details for your professional audiences, though you do not have too much time for that and you should consider the time limits seriously.

All in all, do not stick in details you give a fair chance no one will care about it. But it does not mean you should skip every detail. Also, try to use your colleagues ideas and feedback in your PRE-PRESENTATION practice about these matters. In my opinion, they are the most reliable resources for us. I myself, really care about my friends and colleagues comments before my presentations or even my paper submissions.

And finally it might be worthy to take a look at How to Present a Paper at an Academic Conference. Moreover, It is great to know that you are using LaTex for your presentation.