Bifurcation Analysis in Population Genetics Model with Partial Selfing

Figure 2

𝑢₁₁=1, 𝑢₁₂=0.5, 𝑢₂₂=0, and 𝜉=0.85. When 𝛾=27, (𝑝^∗,𝐹^∗) is stable for 𝛽∈(0,𝛽^∗)(𝛽^∗=0.27875). Stable 2-periodic points emerge at 𝛽=𝛽^∗. When 𝛾=38, stable 2-periodic points become stable 4-periodic points with the increase of 𝛽. When 𝛾=41, there is chaos for 0.47<𝛽<0.49. When 𝛾=69, stable 3-periodic points become stable 6-periodic points and then become stable 3-periodic points again.

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