The dramatic growth of deer and rodent population, as well as ticks, is well studied however.
Since you seem interested in this topic here are a few relevant links:
http://www.ct.gov/caes/lib/caes/documents/publications/fact_...
https://www.nrcs.usda.gov/Internet/FSE_DOCUMENTS/nrcs141p2_0...
http://www.nbcnews.com/id/6835501/ns/us_news-environment/t/d...
https://www.npr.org/sections/goatsandsoda/2017/03/06/5182194...
https://blog.nature.org/science/2013/08/22/too-many-deer/