Stability and Bifurcation of Two Kinds of Three-Dimensional Fractional Lotka-Volterra Systems

Abstract EN

Two kinds of three-dimensional fractional Lotka-Volterra systems are discussed.

For one system, the asymptotic stability of the equilibria is analyzed by providing some sufficient conditions.

And bifurcation property is investigated by choosing the fractional order as the bifurcation parameter for the other system.

In particular, the critical value of the fractional order is identified at which the Hopf bifurcation may occur.

Furthermore, the numerical results are presented to verify the theoretical analysis.