an:00019106
Zbl 0737.92014
Brauer, Fred
Models for the spread of universally fatal diseases. II
EN
Differential equations models in biology, epidemiology and ecology, Proc. Conf., Claremont/CA (USA) 1990, Lect. Notes Biomath. 92, 57-69 (1991).
1991
a
92D30 45M10 45J05 45M05
long infective periods; universally fatal disease; stability of endemic equilibrium; distribution of infective periods
Summary: [For the entire collection see Zbl 0732.00026; and for part I see J. Math. Biol. 28, No. 4, 451-462 (1990; Zbl 0718.92021).]
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.
Reviewer (Berlin)
Zbl 0732.00026; Zbl 0718.92021