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Dynamical behavior of epidemiological models with nonlinear incidence rates

โœ Scribed by Wei-min Liu; Herbert W. Hethcote; Simon A. Levin

Publisher
Springer
Year
1987
Tongue
English
Weight
1003 KB
Volume
25
Category
Article
ISSN
0303-6812

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โœฆ Synopsis

Epidemiological models with nonlinear incidence rates AIPS q show a much wider range of dynamical behaviors than do those with bilinear incidence rates hiS. These behaviors are determined mainly by p and A, and secondarily by q. For such models, there may exist multiple attractive basins in phase space; thus whether or not the disease will eventually die out may depend not only upon the parameters, but also upon the initial conditions. In some cases, periodic solutions may appear by Hopf bifurcation at critical parameter values.

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