View full-text article in PMC J Theor Biol. 2013 Oct 7;334:26–34. doi: 10.1016/j.jtbi.2013.05.029 Search in PMC Search in PubMed View in NLM Catalog Add to search Copyright and License information © 2013 The Authors Open Access under CC BY 3.0 license PMC Copyright notice Fig. 5. Eigenvalues of the internal equilibrium for a=0.8, b=10, c=1, d=9, r1=1, and r2∈(1,5). The real parts of the eigenvalues are depicted by the solid curves, their imaginary parts by the dashed curves. Eigenvalues turn complex at r2≈2.01, the Hopf bifurcation occurs at r2≈4.46.