Mathematical Model, Optimal Control and Transmission Dynamics of Avian Spirochaetosis

• 作者: Blessing O. Emerenini Joy I. Uwakwe Simeon C. Inyama
• 来源期刊: 应用数学与应用物理(英文)
• 学科: 数学
• 关键词: AVIAN Spirochaetosis TICK FEVER Mathematical Model Control MEASURE Transmission Dynamics
• 年，卷（期）: 2020,（2）
• 页码范围: 270-293
• 页数: 24页
• 分类号: O17

摘要

Avian Spirochaetosis is an acute endemic tick-borne disease of birds, caused by Borrelia anserins, a species of Borrelia bacteria. In this paper, we present a compartmental mathematical model of the disease for the bird population and Tick population. The disease steady-state and the conditions for reaching a stable disease-free steady state are determined. The analysis by Lyapunov method shows both local and global stability. Further investigation involves the introduction of controls to the model;the existence and uniqueness of optimal control are established. Finally, the effect of the controls is investigated using numerical solutions.