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Incoming links: Susceptible-infective model with exponential density-dependent birth
Past exam of the mathematics course of the University of Cambridge 2021 ii Paper 1 6E b i Solution Created 2026-09-24 Updated 2026-09-25
The susceptible equation may be writtenThe factor is a density-dependent per-capita birth rate. The law of mass action gives the infection incidence , which transfers individuals out of the susceptible compartment.
Likewise,There is no birth term in the infective equation, so only susceptible individuals reproduce in this model. Infectives die at total per-capita rate . These terms define the susceptible-infective model with exponential density-dependent birth.