Can I use HMM to predict the spread of Ebola?

This would limit me to predicting changes one district at a time. I'm still in the planning stage of this homework assignment, but before I went too far down the HMM track I wanted to see if I'm barking up the right tree. I want to predict the number of Ebola cases by geographical district, over time. I have a data set which tracks new confirmed Ebola cases across 20 districts, through 100 weeks. This data is in the form of discrete integers representing the number of confirmed new cases.