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

Murtadha M.  Abdulkadhim; Ahmed A.  Mohsen; Hassan F.  Al Husseiny; Khalid  Hattaf; Anwar Zeb

doi:10.24996/ijs.2024.65.5.23

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.