The assignment is to read this paper and implement and repeat the results of as much of it as you can in the SML language in the time available.
The sections are 2)The Basic Model, 3) The Model with Latent Infection, 4) Model with Quarantine, 5) Model with Treatment and 6) Impulsive Eradication. You will have to solve a small system of Ordinary Differential Equations which can be daunting, however, the author was kind enough to provide a coded solution for the basic model (pages 146 to 149, the code is reasonably well documented, and is written in MATLAB is you are curious to watch it actually run.)
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Nice to meet you I developed for several years, and have alots of experience in this part. I also have a small team which can help you. I hope works with you Best reagards