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Dynamic behaviors of a modified SIR model in epidemic diseases using nonlinear incidence and recovery rates

Fig 5

Graphs of Bifurcation curve in parameters plane (β, b) and the phase trajectory for system (5).

(a) Curve q(β, b) = 0. The green curve is supercritical Hopf bifurcation; The red curve is subcritical Hopf bifurcation. σ1 becomes 0 at the DH point. (b) Two limit cycles bifurcation from the weak focus E2.

Fig 5

doi: https://doi.org/10.1371/journal.pone.0175789.g005