Impact Of Control Strategies On Infectious Disease Dynamics: A Differential Equation Modelling And Simulation Approach
DOI:
https://doi.org/10.63665/tghtcj25Keywords:
Infectious disease modelling, differential equations, control strategies, stability analysis, numerical simulation.Abstract
Global public health is still severely hampered by infectious diseases, which highlights the necessity for efficient control and intervention measures. Understanding the mechanisms of disease transmission and assessing the efficacy of control
measures prior to their practical application depend heavily on mathematical models. A compartmental differential equation-based infectious illness model that incorporates important control techniques like immunisation, therapy, and preventive measures is
presented in this paper. To establish threshold conditions for disease persistence or eradication, the fundamental reproduction number is calculated. To evaluate long-term system behaviour, stability analysis of endemic and disease-free equilibria is
performed. The influence of changing control settings on disease dynamics is examined by numerical simulations employing the fourth-order Runge–Kutta method. According to simulation studies, effective control measures greatly shorten the duration of outbreaks and the prevalence of infections. The results offer policymakers and public health planners important information for creating successful disease control initiatives.
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