Stability and Hopf Bifurcation of a Fractional-Order Food Chain Model With Disease and Two Delays-Reference-Cited by-同舟云学术

Stability and Hopf Bifurcation of a Fractional-Order Food Chain Model With Disease and Two Delays

Published:2020-01-16 Issue:3 Volume:15 Page:
ISSN:1555-1415
Container-title:Journal of Computational and Nonlinear Dynamics
language:en
Short-container-title:

Author:

Wang Xinhe¹,Wang Zhen¹,Shen Xiao²

Affiliation:

1. College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao 266590, China

2. College of Mechanical and Electronic Engineering, Shandong University of Science and Technology, Qingdao 266590, China

Abstract

AbstractIn this study, a fractional-order food chain model with disease and two delays is proposed. The existence conditions for a positive equilibrium point are given, and the stability conditions without the effects of delays are established. The effects of a single time delay and two time delays are discussed, the bifurcation and stability criteria are obtained, and the bifurcation points are calculated. To support the theoretical analysis, numerical simulations are presented.

Publisher

ASME International

Subject

Applied Mathematics,Mechanical Engineering,Control and Systems Engineering,Applied Mathematics,Mechanical Engineering,Control and Systems Engineering

Link

http://asmedigitalcollection.asme.org/computationalnonlinear/article-pdf/doi/10.1115/1.4045683/6483189/cnd_015_03_034501.pdf

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