Stability analysis andB ifurcation for an Bacterial Meningitis S preadingwith S tage S tructure : Mathematical M odeling

Authors

  • Murtadha M. Abdulkadhim Department of Science, college of Basic education, Al Muthanna University, Samawah, Iraq. https://orcid.org/0000-0001-9698-3037
  • Ahmed A. Mohsen Ministry of Education, Rusafa/1, Baghdad Iraq https://orcid.org/0000-0003-3812-8918
  • Hassan F. Al Husseiny University of BaghdadDepartment of Mathematics, College of Science, University of Baghdad, Iraq
  • Khalid Hattaf Equipe de Rechercheen Modélisation et Enseignement des Mathématiques (ERMEM), C entre Regional desMetiers de l’Education et de la Formation (CRMEF), 20340 Derb Ghalef, Casablanca, Morocco / Laboratory of Analysis, Modeling and Simulation (LAMS), Faculty of Sciences Ben M’ S ik, Hassan II University of Casablanca, P.O Box 7955 Sidi Othman, Casablanca, Morocco https://orcid.org/0000-0002-5032-3639
  • Anwar Zeb Department of Mathematics, COMSATS University Islamabad, Abbottabad Campus, Abbottabad, 22060, Khyber Pakhtunkhwa, Pakistan

DOI:

https://doi.org/10.24996/ijs.2024.65.5.23

Keywords:

Compartmental models, epidemics, bacterial meningitis, Lyapunov functions

Abstract

We introduce a mode l to describe the evolution of bacterial meningitis epidemics in a non constant population. We derive the value of the basic reproduction number of our model. We analy z e the local and global stability of the disease free and endemic equilibria. We confirm the results by a numerical analysis of the model.

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Published

2024-05-30

Issue

Section

Mathematics

How to Cite

Stability analysis andB ifurcation for an Bacterial Meningitis S preadingwith S tage S tructure : Mathematical M odeling. (2024). Iraqi Journal of Science, 65(5), 2630-2648. https://doi.org/10.24996/ijs.2024.65.5.23

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