A Mathematical Optimal Control Approach for Reducing the Danger of Cultism in Higher Institution

Ali Inalegwu Michael, David, I.J., Obiabo, Adikwu

Research Article | Open Access | Download Full Text

Volume 2 | Issue 2 | Year 2024 | Article Id: MS-V2I2P101

A Mathematical Optimal Control Approach for Reducing the Danger of Cultism in Higher Institution

Ali Inalegwu Michael, David, I.J., Obiabo, Adikwu

Received	Revised	Accepted	Published
07 Apr 2024	02 May 2024	03 Jun 2024	28 Jun 2024

Citation

Ali Inalegwu Michael, David, I.J., Obiabo, Adikwu. “A Mathematical Optimal Control Approach for Reducing the Danger of Cultism in Higher Institution.” DS Journal of Modeling and Simulation, vol. 2, no. 2, pp. 1-20, 2024.

Abstract

The work formulates an optimal control problem in mathematics for the dynamics of hidden cult operations in higher education institutions, taking into account multiple measures to mitigate the threat. A flow diagram for the model was provided, along with the results of both qualitative and quantitative analysis. The methods used by Momoh et al. (2021) were used to analyze the equilibrium points’ local and global stability, respectively. It was discovered that the equilibrium points were unstable if the fundamental reproductive number was greater than one (R0c>1) and locally asymptotically stable if it was less than one (R0c<1). Sensitivity analysis was done on the model’s parameters to determine each parameter’s involvement in the fundamental reproduction number R0c. Based on the results, the optimality system was created, taking into account three control measures: public enlightenment u1, vigilant and moral instructions u2, use of special force and legislation u3. Furthermore, a numerical simulation was run using the RK4 technique to illustrate the consequences of the control schemes further. According to the research findings, option D which combines public education, vigilante and moral instruction, the use of special force and legislation is the most effective way to end cultism in the university system.

Keywords

Mathematical modeling, Cultism, Sensitivity index, Stability, Optimal control.

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