Lymphatic Filariasis Model with Prevention and Treatment in Human Under Treatment Barriers

Abstract

In this paper, a deterministic Lymphatic Filariasis (LF) model with preventive measures in human and treatment barriers is developed and analysed to assess the impact of treatment barriers on the transmission dynamics of LF in endemic areas. Qualitative analysis and numerical simulation are presented in terms of the reproduction number of the model in the absence and presence of treatment barriers. It is established that the treatment intervention has shown improvement in the reduction of LF infection in the population. Furthermore, in the absence of treatment barriers the model guaranteed disease extinction behaviour, while in the presence of treatment barriers the model shows disease persistence behaviour when . This means that in the presence of treatment barriers there is coexistence of the stable disease-free state and the stable persistent state of the disease when . The persistence behaviour may be due to plentiful infected individuals who accumulate in the community due to treatment barriers while the disease has no natural recovery. The numerical simulations are performed to complement the analytical results.