A mathematical model of fowl pox in a chicken farms with isolation and fumigation

Abstract

Isolation and fumigation play an essential role in the mechanism of the spread of fowl pox disease. This paper establishes a mathematical model to describe the spread of fowl pox in chicken farms by considering two interventions; isolation intervention to reduce the spread of feathers containing the virus and fumigation intervention to kill fowl pox vectors of adult mosquitoes and their larvae. The model was constructed as a ten-dimensional non-linear ordinary differential equation. Furthermore, analytical and numerical studies were carried out on the constructed model to determine the existence and analyze the disease-free equilibrium point, endemic balance point, basic reproduction number (ℝ0), and understand the long-term and shortterm dynamics of the constructed model. Based on the carried out analytical and numerical studies, it was concluded that although fumigation and isolation were proven to minimize fowl pox disease, fumigation was more reliable for maximum results.