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\iteman{io-port 05711786}
\itemau{Li, Li; Sun, Gui-Quan; Jin, Zhen}
\itemti{Bifurcation and chaos in an epidemic model with nonlinear incidence rates.}
\itemso{Appl. Math. Comput. 216, No. 4, 1226-1234 (2010).}
\itemab
Summary: This paper investigates a discrete-time epidemic model by qualitative analysis and numerical simulations. It is verified that there are phenomena of transcritical bifurcation, flip bifurcation, Hopf bifurcation types and chaos. Also the largest Lyapunov exponents are numerically computed to confirm further the complexity of these dynamic behaviors. The obtained results show that discrete epidemic model can have rich dynamical behavior.
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\itemut{epidemic model; discrete-time; nonlinear incidence rates; transcritical bifurcation; flip bifurcation; Hopf bifurcation; chaos; rich dynamics}
\itemli{doi:10.1016/j.amc.2010.02.014}
\end