Get 20M+ Full-Text Papers For Less Than $1.50/day. Start a 14-Day Trial for You or Your Team.

Learn More →

Dynamical behavior of epidemiological models with nonlinear incidence rates

Dynamical behavior of epidemiological models with nonlinear incidence rates Epidemiological models with nonlinear incidence rates λI pSqshow a much wider range of dynamical behaviors than do those with bilinear incidence rates λIS. These behaviors are determined mainly by p and λ, 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Journal of Mathematical Biology Springer Journals

Dynamical behavior of epidemiological models with nonlinear incidence rates

Loading next page...
 
/lp/springer-journals/dynamical-behavior-of-epidemiological-models-with-nonlinear-incidence-fwUUBxm0EN

References (18)

Publisher
Springer Journals
Copyright
Copyright © 1987 by Springer-Verlag
Subject
Mathematics; Mathematical and Computational Biology; Applications of Mathematics
ISSN
0303-6812
eISSN
1432-1416
DOI
10.1007/BF00277162
Publisher site
See Article on Publisher Site

Abstract

Epidemiological models with nonlinear incidence rates λI pSqshow a much wider range of dynamical behaviors than do those with bilinear incidence rates λIS. These behaviors are determined mainly by p and λ, 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.

Journal

Journal of Mathematical BiologySpringer Journals

Published: Aug 12, 2004

There are no references for this article.