DOI: 10.3390/sym15081609 ISSN:
Stability Analysis of a Mathematical Model for Adolescent Idiopathic Scoliosis from the Perspective of Physical and Health Integration
Yuhua Zhang, Haiyin Li- Physics and Astronomy (miscellaneous)
- General Mathematics
- Chemistry (miscellaneous)
- Computer Science (miscellaneous)
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.