ArticleScientific reports2022
Mathematical modeling analysis on the dynamics of university students animosity towards mathematics with optimal control theory.
Article in Scientific reports, 2022. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 8 papers.
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8 citing papers in PubMed.
- Analysis of optimal control strategies on the fungal Tinea capitis infection fractional order model with cost-effective analysis.Scientific reports · 2024Article
- Smoking and alcoholism dual addiction dissemination model analysis with optimal control theory and cost-effectiveness.PloS one · 2024Article
- Modelling the dynamics of acute and chronic hepatitis B with optimal control.Scientific reports · 2023Article
- Analysis of fractional order model on higher institution students' anxiety towards mathematics with optimal control theory.Scientific reports · 2023Article
- Bifurcation and optimal control analysis of HIV/AIDS and COVID-19 co-infection model with numerical simulation.PloS one · 2023Article
- Investigating the Effects of Intervention Strategies on Pneumonia and HIV/AIDS Coinfection Model.BioMed research international · 2023Article
- Mathematical Modeling Investigation of Violence and Racism Coexistence as a Contagious Disease Dynamics in a Community.Computational and mathematical methods in medicine · 2022Article
- A Mathematical Modeling Analysis of Racism and Corruption Codynamics with Numerical Simulation as Infectious Diseases.Computational and mathematical methods in medicine · 2022Article
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2 authors.
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Abstract
Animosity towards mathematics is a very common worldwide problem and it is usually caused by wrong information, low participation, low challenge tolerance, falling further behind, being unemployed, and avoiding the advanced math classes needed for success in many careers. In this study, we have considered and formulated the new SEATS compartmental mathematical model with optimal control theory to analyze the dynamics of university students' animosity towards mathematics. We applied the next-generation matrix, Ruth-Hurwitz criteria, Lyapunov function, and Volterra-Lyapunov stable matrices to show local and global stability of equilibrium points of the model respectively. The study demonstrated that the animosity-free equilibrium point is both locally and globally asymptotically stable whenever the model basic reproduction number is less than unity, whereas the animosity-dominance equilibrium point is both locally and globally asymptotically stable when the model basic reproduction number is greater than unity. Finally, we applied numerical ode45 solvers using the Runge-Kutta method and we have carried out numerical simulations and shown that applying both prevention and treatment controls is the best strategy to minimize and possibly eradicate the animosity-infection in the community under consideration.
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