Mathematical Modeling of  SEIRV Epidemic Model with Delay and Optimal Control of Holling type II

Authors

  • Shumaila Irum Department of Mathematics, COMSATS University Islamabad, Abbottabad Campus, Pakistan
  • Anwar Zeb Department of Mathematics, COMSATS University Islamabad, Abbottabad Campus, Pakistan
  • Ahmed A. Mohsen Department of Mathematics, Open Education College, Iraq
  • Thoraya N. Alharthi Department of Mathematics, College of Science, University of Bisha, P.O. Box 551, Bisha 61922, Saudi Arabia
  • Ilyas Khan Department of Mathematical Sciences, Saveetha School of Engineering, SIMATS, Chennai, Tamil Nadu, India
  • Osama Oqilat Hourani Center for Applied Scientific Research, Department of Basic Sciences, Faculty of Arts and Science, Al-Ahliyya Amman University, Amman, Jordan
  • Wei Sin Koh INTI International University, Persiaran Perdana BBN Putra Nilai, 71800 Nilai, Negeri Sembilan, Malaysia

DOI:

https://doi.org/10.29020/nybg.ejpam.v18i4.6254

Keywords:

mathematical model

Abstract

This work proposes a mathematical model of the SEIRV epidemic framework incorporating time delays and optimal control strategies based on Holling Type II functional responses. The SEIRV model, which includes compartments for Susceptible, Exposed, Infectious, Recovered, and Vaccinated individuals, is extended to account for delays in the transmission and vaccination processes. The stability and behavior of the model are analyzed using differential equations and delay differential equations. Optimal control techniques are applied to minimize the spread of infection and optimize vaccination strategies, considering resource limitations and practical constraints. Numerical simulations demonstrate the effectiveness of the proposed control strategies in reducing infection rates and achieving disease eradication. The findings contribute to the understanding of epidemic dynamics and provide valuable information for public health policy and intervention planning.

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Published

2025-11-05

Issue

Vol. 18 No. 4: (October 2025)

Section

Mathematical Biosciences

License

Copyright (c) 2025 Shumaila Irum, Anwar Zeb, Ahmed A. Mohsen, Ilyas Khan, Zaher Mundher Yaseen, Wei Sin Koh

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How to Cite

Mathematical Modeling of  SEIRV Epidemic Model with Delay and Optimal Control of Holling type II. (2025). European Journal of Pure and Applied Mathematics, 18(4), 6254. https://doi.org/10.29020/nybg.ejpam.v18i4.6254