Mathematical Biosciences and Engineering (Jun 2021)

Dynamical analysis of fractional-order Holling type-II food chain model

  • Cuimin Liu,
  • Zhen Wang,
  • Bo Meng

DOI
https://doi.org/10.3934/mbe.2021265
Journal volume & issue
Vol. 18, no. 5
pp. 5221 – 5235

Abstract

Read online

This paper proposed a fractional-order Holling type-II food chain model. First, we verified the existence, uniqueness, nonnegativity and boundedness of the solution of the model, and some conditions for equilibrium existence and local stability were studied. Second, a controller was proposed, and the Lyapunov method was used to study the global stability of the positive equilibrium point. Finally, numerical simulations were performed to verify the theoretical results.

Keywords