Qualitative properties of mathematical model of English language education

[摘要] 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.

[学科分类] 航空航天科学

[关键词] Mathematical modeling;Global stability;Backward bifurcation;Foreign language education