Open AccessStability analysis for a new fractional order <i>N</i> species network
Author(s) -
Ying Xie,
Junwei Lu,
Bo Meng,
Zhen Wang
Publication year - 2020
Publication title -
mathematical biosciences and engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.451
H-Index - 45
eISSN - 1551-0018
pISSN - 1547-1063
DOI - 10.3934/mbe.2020154
Subject(s) - uniqueness , mathematics , stability (learning theory) , eigenvalues and eigenvectors , simple (philosophy) , lyapunov function , exponential stability , order (exchange) , equilibrium point , mathematical analysis , differential equation , computer science , physics , nonlinear system , philosophy , epistemology , finance , quantum mechanics , machine learning , economics
The present paper considers a fractional-order N species network, in which, the general functions are used for finding general theories. The existence, uniqueness, and non-negativity of the solutions for the considered model are proved. Moreover, the local and global asymptotic stability of the equilibrium point are studied by using eigenvalue method and Lyapunov direct method. Finally, some simple examples and numerical simulations are provided to demonstrate the theoretical results.