Mathematical analysis of campylobacteriosis disease model in human with saturated incidence rate and treatment

Abstract

This study focuses on campylobacteriosis, a common bacterial infection caused by Campylobacter species. The disease is primarily transmitted through contaminated food and water. The infection leads to an inflammatory gastrointestinal syndrome, resulting in symptoms such as diarrhea or dysentery accompanied by cramps, fever, and abdominal pains. To better understand the campylobacteriosis disease dynamics, a mathematical model of the disease is developed to incorporate saturated incidence rates and treatment interventions. The model is analyzed using stability analysis techniques to identify both disease-free and endemic equilibria. The basic reproduction number which is a crucial epidemiological threshold is calculated to assess the diseases potential for sustained transmission. Furthermore, sensitivity analysis is conducted to determine the key parameters that are influencing the dynamics of the disease and the effectiveness of control measures. Optimal control strategies are assessed using Pontryagin’s maximum principle. The study has evaluated interventions such as increased treatment rates and improved hygiene practices through cumulative health public education campaigns to measure their effectiveness in reducing disease prevalence and alleviating the associated healthcare burden. Numerical results revealed that both treatment and improved hygiene practices through cumulative healthy public education campaigns are vital for effective control of the spread of campylobacteriosis among humans.