Sensitivity analysis and global attractivity of the hpa axis in a depression model

Authors

  • Arunrat T Master Student in Department of Mathematics, Faculty of Applied Science, King Mongkut's University of Technology North Bangkok, Bangkok 10800, Thailand
  • Koonprasert S Associate Professor in Department of Mathematics, Faculty of Applied Science, King Mongkut's University of Technology North Bangkok, Bangkok 10800, Thailand
  • Sirisubtawee S Assistant Professor in Department of Mathematics, Faculty of Applied Science, King Mongkut's University of Technology North Bangkok, Bangkok 10800, Thailand

Keywords:

Depression, HPA axis, Mathematical modelling, Sensitivity analysis, Global attractivity

Abstract

In this paper, we present mathematical model of depression that related hypothalamic-pituitary-adrenal (HPA) axis. HPA axis is an endocrine responsible for stress management that effects from changing level of hormones in HPA axis. Stress management affects the function of the HPA axis causing abnormal hormone secretion, which results in a tendency to depression. Dynamic of depression model is proposed by analysing positive and bounded solutions, existence of equilibria, local stability and sensitivity analysis of equilibrium point. Results of sensitivity analysis can determine which parameters have the most effect on the behaviour of the system. We also analyse global attractivity for impulsive behaviour of the HPA axis model. Moreover, some numerical results of these models may be more inspiring to treat patients more thoroughly and help to diagnose specific patients for low level of risk for depression.

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Published

2024-02-26

How to Cite

Arunrat, T., Koonprasert, S., & Sirisubtawee, S. (2024). Sensitivity analysis and global attractivity of the hpa axis in a depression model. COMPUSOFT: An International Journal of Advanced Computer Technology, 9(04), 3652–3661. Retrieved from https://ijact.in/index.php/j/article/view/566

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Section

Original Research Article

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