I am looking for some simple definitions or explinations on Laboratory
animal terms. For example what is an induced animal model or a natural
animal model?
I am having a hard time searching everything i find online is far too
indepth.

From the reports I examined, it appears that a natural animal model is
an experiment conducted on an animal in which the (usually) disease
being studied occurs in the animal subject on its own without lab
interference or introduction of a disease.

In contrast, an induced animal model is when the animal is used by a
scientist to test something that does not occur normally in that
animal, whether it be testing cosmetics on the skin surface, doing
drug trials, or whatever the scientific test might be.

If this does not make sense in the context of your "bigger question",
please post a request for clarification, and I will be glad to do some
more in-depth searching. Since it appears you are looking for
something simple and straightforward, I decided to limit my response
initially.

Google Search 
"natural animal model"
://www.google.com/search?as_q=&num=50&hl=en&ie=UTF-8&oe=UTF-8&btnG=Google+Search&as_epq=natural+animal+model&as_oq=&as_eq=&lr=&as_ft=i&as_filetype=&as_qdr=all&as_occt=any&as_dt=i&as_sitesearch=&safe=images

"induced animal model"
://www.google.com/search?as_q=&num=50&hl=en&ie=UTF-8&oe=UTF-8&btnG=Google+Search&as_epq=induced+animal+model&as_oq=&as_eq=&lr=&as_ft=i&as_filetype=&as_qdr=all&as_occt=any&as_dt=i&as_sitesearch=&safe=images

Regards,
readersguide