id: 05711786
dt: j
an: 05711786
au: Li, Li; Sun, Gui-Quan; Jin, Zhen
ti: Bifurcation and chaos in an epidemic model with nonlinear incidence rates.
so: Appl. Math. Comput. 216, No. 4, 1226-1234 (2010).
py: 2010
pu: Elsevier Science Publishing Co. (North-Holland), New York
la: EN
cc: 
ut: epidemic model; discrete-time; nonlinear incidence rates; transcritical
    bifurcation; flip bifurcation; Hopf bifurcation; chaos; rich dynamics
ci: 
li: doi:10.1016/j.amc.2010.02.014
ab: 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.
rv: