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Modelling the role of delay in blood flow dynamics in human body using delay differential equations

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  • Dipesh,
  • Kumar, Pankaj

Abstract

The blood flow dynamics in the human circulatory system, where blood passes through various arteries, capillaries and veins is realistically modelled in this research paper. Several physiological, pathological, or environmental conditions might cause a delay in the passage of blood from arteries to capillaries such as hypotension, atherosclerosis, vascular resistance etc. This delay has been incorporated in this mathematical model. Feasible non-zero equilibrium is calculated and the stability analysis is carried about this equilibrium point. The asymptotic stability is seen for below-critical point value of delay parameter. Hopf-bifurcation through limit cycles is observed when value of delay parameter crosses the critical point. The analytical results are supported by numerical simulation using MATLAB and play a significant role in good health and well-being.

Suggested Citation

  • Dipesh, & Kumar, Pankaj, 2025. "Modelling the role of delay in blood flow dynamics in human body using delay differential equations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 668(C).
    • Handle: RePEc:eee:phsmap:v:668:y:2025:i:c:s0378437125002547
    DOI: 10.1016/j.physa.2025.130602
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