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  • Homoclinic-loop bifurcation  (1)
  • 1985-1989  (1)
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  • 1985-1989  (1)
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    Electronic Resource
    Electronic Resource
    Dynamical behavior of epidemiological models with nonlinear incidence rates (1987)
    Springer
    Journal of mathematical biology 25 (1987), S. 359-380 
    Details
    ISSN: 1432-1416
    Keywords: Epidemiological models ; Nonlinear incidence rates ; Hopf bifurcation ; Homoclinic-loop bifurcation
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Notes: 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.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00277162
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