Qualitative properties of mathematical model of English language education

Abstract This 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 g...

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Bibliographic Details
Main Authors: Atena Ghasemabadi, Nahid Soltanian
Format: Article
Language:English
Published: SpringerOpen 2021-01-01
Series:Advances in Difference Equations
Subjects:
Online Access:https://doi.org/10.1186/s13662-020-03180-0
Description
Summary:Abstract This 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.
ISSN:1687-1847