Develop a random Markov chain model for the spread of infections.The state of th

Question

Develop a random Markov chain model for the spread of infections.The state of this Markov chain is a pair (S,I) with both S and I non-negative integers representing the number of susceptible individuals and infected individiuals. Describe the following transitions in terms of transitions between pairs (S,I):

1. A susceptible person becomes infected.

2. An infected person recovers (and becomes immune).

3. A susceptible person is born.

Give rates for each of these transitions in terms of basic person-to-person transmission rates and other measurable quantities. Write the differential equations for the probabilities (undefined)

Explanation / Answer

I hope this much is enough...if you want more calculations, parametric estimation and calculation of belief states..let me know...

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