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Further stability criteria for singular Hopf bifurcation in planar predator-prey systems

Jicai Huang1, Shimin Li2, Xiaoling Wang3

  • 1School of Mathematics and Statistics, and Hubei Key Laboratory of Mathematical Sciences, Central China Normal University, Wuhan, Hubei 430079, People's Republic of China.

Chaos (Woodbury, N.Y.)
|May 22, 2025
PubMed

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Consider an electrical power grid, where stability is essential to prevent blackouts. The Routh-Hurwitz criterion is a valuable tool for assessing system stability under varying load conditions or faults. By analyzing the closed-loop transfer function, the Routh-Hurwitz criterion helps determine whether the system remains stable.
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