A dynamical model of echinococcosis transmission with optimal control strategies is first presented. The basic reproduction number of the model is determined and employed to study the global stability of the disease-free and endemic equilibrium points. The optimal control problem is formulated and solved analytically. Numerical simulations show that optimal control strategies could effectively reduce the transmission of echinococcosis. The cost-effectiveness analysis suggests that a combination of health education, anthelmintic treatment, and home slaughter inspection could provide the best cost-effective strategy to control the transmission of echinococcosis. Furthermore, it finds that anthelmintic treatment and environmental disinfection may shorten the time of eliminating the disease. The results may be helpful for prevention and control of echinococcosis in Ganzi Tibetan Autonomous Prefecture, China and other areas of echinococcosis.

首先提出了具有最优控制策略的棘球蚴病传播动力学模型。确定模型的基本再生数并用于研究无病和地方病平衡点的全局稳定性。优化控制问题被制定并解析解决。数值模拟表明，最优控制策略可以有效减少包虫病的传播。成本效益分析表明，将健康教育、驱虫治疗和家庭屠宰检查相结合可以提供控制包虫病传播的最佳成本效益策略。此外，还发现驱虫治疗和环境消毒可以缩短消除疾病的时间。