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

Bingnan Tang | Zendy

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

Author(s) -

Bingnan Tang

Publication year - 2021

Publication title -

complexity

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.447

H-Index - 61

eISSN - 1099-0526

pISSN - 1076-2787

DOI - 10.1155/2021/6402459

Subject(s) - uniqueness , mathematics , bifurcation , hopf bifurcation , volterra equations , stability (learning theory) , order (exchange) , population , variable (mathematics) , fractional calculus , matlab , set (abstract data type) , control theory (sociology) , mathematical optimization , computer science , mathematical analysis , nonlinear system , control (management) , physics , demography , finance , quantum mechanics , machine learning , sociology , artificial intelligence , economics , programming language , operating 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.

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