Abstract
We consider a simple model for a universally fatal disease with an infective period long enough to allow natural deaths during the infective period. The analysis of this model is considerably more complicated than the analysis of a model with an infective period short enough that the population dynamics are confined to the susceptible class. However, the basic result that in some circumstances the stability of an endemic equilibrium may depend on the distribution of infective periods is shared by both models.
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© 1991 Springer-Verlag Berlin Heidelberg
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Brauer, F. (1991). Models for the Spread of Universally Fatal Diseases II. In: Busenberg, S., Martelli, M. (eds) Differential Equations Models in Biology, Epidemiology and Ecology. Lecture Notes in Biomathematics, vol 92. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-45692-3_5
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DOI: https://doi.org/10.1007/978-3-642-45692-3_5
Publisher Name: Springer, Berlin, Heidelberg
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