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

Licong Zhi

Licong Zhi

Psychological Research Institute, Journal of Sanmenxia PolytechnicSanmenxia, China
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Zhi, Licong
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Fahd S Alotaibi

Fahd S Alotaibi

Department of Information Systems, Faculty of Computing and Information Technology, King Abdulaziz UniversityJeddah, Saudi Arabia
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Alotaibi, Fahd S
  
13 dic 2021
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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
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© 2021 Licong Zhi et al., published by Sciendo
This work is licensed under the Creative Commons Attribution 4.0 International License.

Fig. 1

αβ > k1, x(t), y(t) change trend
αβ > k1, x(t), y(t) change trend

Fig. 2

αβ > k1 phase track line image
αβ > k1 phase track line image

Fig. 3

Alpha beta & lt; the trend of x(t) and y(t) at k1
Alpha beta & lt; the trend of x(t) and y(t) at k1

Fig. 4

Alpha beta & lt; phase orbit image at k1
Alpha beta & lt; phase orbit image at k1

Types and stability of balance points determined by the feature equation

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
Λ1,2 = α ± βi, α < 0 P > 0, q > 0, p2 < 4q Stable focus Y
Λ1,2 = α ± βi, α > 0 P < 0, q > 0, p2 < 4q Unstable focus N
Λ1,2 = α ± βi, α = 0 P = 0, q > 0 Center N
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Inglese
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Scienze biologiche, Scienze della vita, altro, Matematica, Matematica applicata, Matematica generale, Fisica, Fisica, altro
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