Q) if a fraction λ of the population susceptible to a disease that provides immunity against...

Q) if a fraction λ of the population susceptible to a disease that provides immunity against reinfection moves out of the region of an epidemic, the situation may be modeled by system
S'=-βSI-λS
I'=βSI-α I.
Show that both S and I approach zero as t→∞.

Where,
S=The susceptible population
I=infected individuals
β=infection rate

Expert Solution

Colby Messinger answered 1 year ago

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