Journal of Mathematical Biology

, Volume 28, Issue 1, pp 65-82

First online:

Population models for diseases with no recovery

  • A. PuglieseAffiliated withDipartimento di Matematica, Università di Trento

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An SI epidemic model with a general shape of density-dependent mortality and incidence rate is studied. The asymptotic behaviour is global convergence to an endemic equilibrium, above a threshold, and to a disease-free equilibrium, below the threshold. The effect of vaccination is then examined.

Key words

Epidemic models Nonlinear incidence rate Population regulation