Lazarus Kalvein Beay, Hasan S. Panigoro, Emli Rahmi, Dian Savitri
The most reasonable way to promote individual abstinence and increase voter turnout is through campaign interventions and schemes. Our paper introduces a deterministic model that captures the dynamics of citizens exercising their right to vote and the detrimental effect of abstainers on potential voters. The existence, basic reproductive number (R0) and local stability of abstinence behavior equilibrium points are determined by certain necessary conditions. The global stability of the abstaining-free point and abstaining point is achieved through the use of suitable Lyapunov functions. In addition, a sensitivity analysis of R0 was also performed. Moreover, we offer an ideal plan for an awareness program that supports politicians and officials in enhancing the registration rate of citizens on electoral lists with a level of effort. Our investigation reveals that utilizing the combination of an awareness campaign and argumentation schemes as time-dependent interventions drastically reduces abstention rates and greatly increases voter participation. By raising the values of awareness and registration rates, we can observe a decline in the basic reproductive number (R0). Our analytical results are supported by numerical simulations. © 2024, Indonesian Biomathematical Society. All rights reserved.
Division of Applied Mathematics, Department of Mathematics, Universitas Pattimura, Ambon, 97233, Indonesia; Biomathematics Research Group, Department of Mathematics, Universitas Negeri Gorontalo, Bone Bolango, 96554, Indonesia; Department of Mathematics, Universitas Negeri Surabaya, Surabaya, 60231, Indonesia
