Develop a random Markov chain model for the spread of infections

Develop a random Markov chain model for the spread of infections.The state of this Markov chain is a Show more Develop a random Markov chain model for the spread of infections.The state of this Markov chain is a pair (SI) 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 (SI): 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 (p_{si}(t) = Pr(S=s I=i)) Show less

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