Further Study on Dynamics for a Fractional-Order Competitor-Competitor-Mutualist Lotka-Volterra System

On the basis of the previous publications, a new fractional-order prey-predator model is set up. Firstly, we discuss the existence, uniqueness, and nonnegativity for the involved fractional-order prey-predator model. Secondly, by analyzing the characteristic equation of the considered fractional-order Lotka-Volterra model and regarding the delay as bifurcation variable, we set up a new sufficient criterion to guarantee the stability behavior and the appearance of Hopf bifurcation for the addressed fractional-order Lotka-Volterra system. Thirdly, we perform the computer simulations with Matlab software to substantiate the rationalisation of the analysis conclusions. The obtained results play an important role in maintaining the balance of population in natural world.

Automated summary

A new fractional-order prey-predator model was established in this study, with discussions on its existence and stability. Computer simulations with Matlab software were conducted to validate the analysis conclusions, which play an important role in maintaining population balance in the natural world.