Simulasi numerik model matematika untuk menganalisis relasi antara korupsi dan dinamika penyebaran penyakit menular

Abstract

A mathematical model has been widely used to understand complex phenomena in biology, social, and politics. A number of mathematical model has been formulated to understand infectious diseases or corruption phenomena. However, to the best of our knowledge, none of the work has has been conducted to investigate the relation of corruption and transmission dynamics of infectious diseases. In this work, a structured model in the form of system of differential equations has been formulated to investigate the relation between corruption and transmission dynamics of infectious diseases. In this work, a novel mathematical model has been formulated to investigate the relation between corruption and the transmission dynamics of infectious diseases. The results showed that in the presence of corruption the number of infections is higher compared to that in the absence of corruption. Although the implementation of public health intervention can reduce the number of infections, the presence of corruption can increase the disease incidence. This implies that corruption potentially hinder the effort for disease elimination. Numerical simulations showed that in the absence of corruption, the level of efficacy of public health intervention can reduce the number of infections. It showed that 80% efficacy level can eliminate the disease cases, which cannot be achieved in the presence of corruption. The results suggest that the corruption should be minimized in order to achieve disease elimination. When data becomes available, the model would be validated against the data.

A Mathematical Approach for Analysing the Effects of Corruption on Transmission Dynamics of Malaria

“…Sejauh ini, belum ada model matematika yang diformulasi untuk menganalisis pengaruh korupsi terhadap dinamika penyebaran penyakit malaria. Radja dan Ndii [10] membangun model matematika untuk menganalisis relasi antara korupsi dan dinamika penyebaran penyakit. Kedua peneliti tersebut menggunakan model sederhana SIR dan melakukan simulasi numerik untuk memperoleh informasi ilmiah terkait relasi antara korupsi dan dinamika penyebaran penyakit.…”

“…Oleh karena itu, dalam artikel ini, pengaruh korupsi terhadap dinamika penyebaran malaria dianalisis dengan menggunakan model matematika. Model ini merupakan perluasan dari model matematika dinamika penyebaran penyakit yang diformulasi oleh Radja dan Ndii [10] untuk konteks penyebaran malaria. Korupsi yang dimaksudkan pada artikel ini adalah penyalahgunaan wewenang terkait dengan upaya pemberantasan penyakit menular termasuk malaria.…”