Stability Analysis of a Mathematical Model for Adolescent Idiopathic Scoliosis from the Perspective of Physical and Health Integration-Reference-Cited by-同舟云学术

Stability Analysis of a Mathematical Model for Adolescent Idiopathic Scoliosis from the Perspective of Physical and Health Integration

Published:2023-08-20 Issue:8 Volume:15 Page:1609
ISSN:2073-8994
Container-title:Symmetry
language:en
Short-container-title:Symmetry

Author:

Zhang Yuhua¹,Li Haiyin²

Affiliation:

1. Institute of Physical Education, Henan University of Economics and Law, Zhengzhou 450046, China

2. Department of Mathematics and Information, Henan University of Economics and Law, Zhengzhou 450046, China

Abstract

In this paper, we take physical and health integration as the entry point. Firstly, based on the transformation mechanism of adolescent idiopathic scoliosis we construct a time delay differential model. Moreover, using the theory of characteristic equation we discuss the stability of a positive equilibrium under the delays of τ=0 and τ≠0. Furthermore, through numerical simulation, it has been verified the delay, τ, exceeds a critical value, the positive equilibrium loses its stability and Hopf bifurcation occurs. Lastly, we determine that sports have a positive effect on adolescent idiopathic scoliosis, directly reducing the number of people with adolescent idiopathic scoliosis.

Funder

Science and Technology Project of Henan Province

Key Research Projects of Higher Education Institutions in Henan Province

Publisher

MDPI AG

Subject

Physics and Astronomy (miscellaneous),General Mathematics,Chemistry (miscellaneous),Computer Science (miscellaneous)

Link

https://www.mdpi.com/2073-8994/15/8/1609/pdf

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