<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>College students continue to improve their consumption levels due to compassion or vanity, but it not only increases the financial burden of the family, but is also not conducive to their personal health. In order not to affect the mental health of college students, to solve the problem of mutual comparison consumption, this paper establishes differential equation models to describe this phenomenon, from qualitative and quantitative angles to interpret and predict the results of comparison consumption. The results show that the current consumption behaviour of college students also has a reasonable place for being unreasonable, mainly from college students’ own and living environment.</p>
</abstract>

College students continue to improve their consumption levels due to compassion or vanity, but it not only increases the financial burden of the family, but is also not conducive to their personal health. In order not to affect the mental health of college students, to solve the problem of mutual comparison consumption, this paper establishes differential equation models to describe this phenomenon, from qualitative and quantitative angles to interpret and predict the results of comparison consumption. The results show that the current consumption behaviour of college students also has a reasonable place for being unreasonable, mainly from college students’ own and living environment.

College Students’ Mental Health Climbing Consumption Model Based on Nonlinear Differential Equations

Department of Information Systems, Faculty of Computing and Information Technology

Applied Mathematics and Nonlinear Sciences

This work is licensed under the Creative Commons Attribution 4.0 International License.

College students continue to improve their consumption levels due to compassion or vanity, but it not only increases the financial burden of the family, but is...

Λ, Λ	p, q	Equilibrium type	Stability (Yes/No)

Λ₁ < Λ₂ < 0	P > 0, q > 0, p² > 4q	Stable node	Y
Λ₁ > Λ₂ > 0	P < 0, q > 0, p² > 4q	Unstable node	N
Λ₁ < 0 < Λ₂	P < 0	Saddle point	N
Λ₁ = Λ₂ < 0	P > 0, q > 0, p² = 4q	Stable degradation point	Y
Λ₁ = Λ₂ > 0	P < 0, q > 0, p² = 4q	Instable degradation point	N
Λ_1,2 = α ± βi, α < 0	P > 0, q > 0, p² < 4q	Stable focus	Y
Λ_1,2 = α ± βi, α > 0	P < 0, q > 0, p² < 4q	Unstable focus	N
Λ_1,2 = α ± βi, α = 0	P = 0, q > 0	Center	N

College Students’ Mental Health Climbing Consumption Model Based on Nonlinear Differential Equations

Pubblicato online: 13 dic 2021

Pagine: 441 - 448

Ricevuto: 17 giu 2021

Accettato: 24 set 2021

DOI: https://doi.org/10.2478/amns.2021.2.00080

Parole chiave
Differential equation model, college students, compare consumption, mental health

© 2021 Licong Zhi et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Fig. 1

Fig. 2

Fig. 3

Fig. 4

Types and stability of balance points determined by the feature equation

College Students’ Mental Health Climbing Consumption Model Based on Nonlinear Differential Equations

Pubblicato online: 13 dic 2021

Pagine: 441 - 448

Ricevuto: 17 giu 2021

Accettato: 24 set 2021

DOI: https://doi.org/10.2478/amns.2021.2.00080

Parole chiaveDifferential equation model, college students, compare consumption, mental health

© 2021 Licong Zhi et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Fig. 1

Fig. 2

Fig. 3

Fig. 4

Types and stability of balance points determined by the feature equation

Parole chiave
Differential equation model, college students, compare consumption, mental health