Author:
Ghasemabadi Atena,Soltanian Nahid
Abstract
AbstractThis paper presents a mathematical model that examines the impacts of traditional and modern educational programs. We calculate two reproduction numbers. By using the Chavez and Song theorem, we show that backward bifurcation occurs. In addition, we investigate the existence and local and global stability of boundary equilibria and coexistence equilibrium point and the global stability of the coexistence equilibrium point using compound matrices.
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Algebra and Number Theory,Analysis
Reference8 articles.
1. Arino, J., McCluskey, C.C., Van den Driessche, P.: Global results for an epidemic model with vaccination that exhibits backward bifurcation. SIAM J. Appl. Math. 64(1), 260–276 (2003)
2. Castillo-Chavez, C., Song, B.: Dynamical models of tuberculosis and their applications. Math. Biosci. Eng. 2, 361–404 (2004)
3. Ghasemabadi, A.: Stability and bifurcation in a generalized delay prey–predator model. Nonlinear Dyn. 90, 2239–2251 (2017)
4. Ghasemabadi, A., Rahmanidoust, M.H.: Investigating the dynamics of Lotka–Volterra model with disease in the prey and predator species. Int. J. Nonlinear Anal. Appl. (2019). https://doi.org/10.22075/IJNAA.2019.15881.1832
5. Levine, A., Ferenz, O., Reves, T.: EFL academic reading and modern technology: how can we turn our students into independent critical readers? (2000) TESL-EJ, 4 (4), A-1
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