Suppose the number of cases of persons in West Africa infected with the Ebola virus grows at a rate proportional to the total number of cases. Write a differential equation to represent the situation described above. Use n for number of cases of Ebola and t for the time in months.

Differential equation =  N(t) = S(t) + L(t) + I(t) + R(t) + D(t)

where;

S(t) is the number of infected individuals at time t;

L= Individuals who are infected but not infectious yet

I = the class of infected, infectious, and isolated individuals;

R = group of recovered individuals;

D(t) = the number of individuals who died of EVD at time t.

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