Dynamical behavior of epidemiological models with nonlinear incidence rates
- 1 September 1987
- journal article
- research article
- Published by Springer Nature in Journal of Mathematical Biology
- Vol. 25 (4) , 359-380
- https://doi.org/10.1007/bf00277162
Abstract
Epidemiological models with nonlinear incidence rates λIpSqshow 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.Keywords
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