Answer to Question #200449 in Differential Equations for Raghav

Question

The differential equations

dS/dt = - βSI + λS

dI/dt = βSI - γI

model a disease spread by contact, where S is the number of susceptibles, λ is the number

of infectives, β is the contact rate, γ is the removal rate and l is the birth rate of

susceptibles.

(i) Identify which term in the RHS of each differential equation arises from the birth of

susceptibles.

(ii) Discuss the model given by the above two differential equations.

Answer 1

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