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A novel mathematical model for heart disease with time delay

M Logambal & S Padmasekaran

SIMULATION: Transactions of The Society for Modeling and Simulation International2026https://doi.org/10.1177/00375497251411040article
AJG 1
Weight
0.50

What the paper says

This paper proposes a new approach to delay differential equations and combat the growing heart disease epidemic. A stability analysis of heart disease modeling is conducted using approximate state data, focusing on its connection to cardiovascular disease, heart attacks, and strokes. The model considers the connection of heart disease to specific infections. Analysis is done on qualitative behaviors, like the presence and uniqueness of solutions. In addition, the positivity and boundedness of the solution are investigated. The stability requirements and equilibrium points are satisfied. Since the existing solutions are asymptotically stable locally when R 0 < 1 and globally for R 0 > 1 , we next calculate the fundamental reproduction ratio, also known as the reproduction number. In addition, locally stable steady-state solutions for R 0 < 1 are found to be included in infection. Finally, the theoretical insights about heart disease are ultimately confirmed through empirical numerical data.

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https://doi.org/https://doi.org/10.1177/00375497251411040

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@article{m2026,
  title        = {{A novel mathematical model for heart disease with time delay}},
  author       = {M Logambal & S Padmasekaran},
  journal      = {SIMULATION: Transactions of The Society for Modeling and Simulation International},
  year         = {2026},
  doi          = {https://doi.org/https://doi.org/10.1177/00375497251411040},
}

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A novel mathematical model for heart disease with time delay

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Evidence weight

0.50

Balanced mode · F 0.40 / M 0.15 / V 0.05 / R 0.40

F · citation impact0.50 × 0.4 = 0.20
M · momentum0.50 × 0.15 = 0.07
V · venue signal0.50 × 0.05 = 0.03
R · text relevance †0.50 × 0.4 = 0.20

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