Assertion: saddle node bifurcation | /r/CapableOf | take place
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text: Note that , implying that there is a backward bifurcation at when , and for this value of the bifurcation parameter we have This is labeled as BP (branching point), the point where the unstable endemic equilibrium meets the disease-free equilibrium The red dotted curve corresponds to that unstable equilibrium point, which coalesces with the stable endemic equilibrium at LP (limit point, where a saddle-node bifurcation takes place).