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Complex dynamics in an SIS epidemic model with nonlinear incidence

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Figure

Figure 1 Graphs of different incidence rate functions. (a) Non-monotone incidence g1(I) =κI1+αI2 .(b) Nonlinear incidence g2(I) =κI21+αI2
Figure 2 When R∗ < R0 < 1, Λ > (1 – σ)/a. (a) ψ3 < 0, equilibria E0 and E3 are locally stable and E2 is unstable.(b) ψ3 > 0, equilibrium E0 is locally stable and E2 and E3 are unstable
Figure 3 When R0 > 1. (a) ψ5 < 0, the disease-free equilibrium E0 is unstable and the unique positiveequilibrium E5 is globally stable
Figure 5 When R0 = 1, and Λ > (1 – σ)/a. (a) When R0 = 1, Λ > 1–σaand ψ4 > 0, there exists a stable limitcycle
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