Mathematical Model and Analysis of Fasciola Hepatica Disease Transmission Dynamics with Optimal Control

Dagnaw, Tantie

dc.contributor.author	Dagnaw, Tantie
dc.date.accessioned	2026-08-18T10:21:38Z
dc.date.available	2026-08-18T10:21:38Z
dc.date.issued	2025-12
dc.identifier.uri	http://ir.bdu.edu.et/handle/123456789/17022
dc.description.abstract	Fascioliasis, a snail-borne zoonotic disease recognized by the World Health Organization as a neglected tropical disease, significantly impacted human and livestock health and economies, affecting over 700 million animals and 180 million humans are at risk of infection. This dissertation addressed the limited understanding of Fasciola hepatica transmission dynamics by developing a mathematical model exploring various scenarios, including stability analysis, bifurcation, sensitivity, optimal control, and cost-effectiveness. Model analysis revealed that snail mortality rate as a key factor in disease spread, with optimal control strategies, derived via the Pontryagin maximum principle, indicating that combined pasture management, cattle treatment, and molluscicide use effectively reduce transmission. Cost-effectiveness analysis identified pasture management with molluscicides as the most efficient strategy, further enhanced by integrating molluscicide use with cattle treatment. The study concluded that integrated control strategies, incorporating public health education, treatment, and molluscicide application, offer the most substantial and immediate reduction in fascioliasis in both cattle and human populations, providing a basis for effective global interventions.	en_US
dc.language.iso	en_US	en_US
dc.subject	Mathematics	en_US
dc.title	Mathematical Model and Analysis of Fasciola Hepatica Disease Transmission Dynamics with Optimal Control	en_US
dc.type	Dissartation	en_US