Department of Science and Mathematics, Arizona State University, Mesa, AZ 85212, USA.
Math Biosci. 2018 Nov;305:60-70. doi: 10.1016/j.mbs.2018.08.008. Epub 2018 Aug 30.
A discrete-time model describing the west nile virus transmission among the mosquito, wild bird, and domestic bird populations is constructed. The expressions for the basic reproduction number R and the disease-free fixed point of the model are computed. The local stability of the disease-free fixed point is established based on R. Optimal control theory is used to devise the most effective administration profile of mosquito larvicide, mosquito adulticide and domestic bird-protection in controlling the virus transmission among the mosquito - wild bird - domestic bird community.
构建了一个描述西尼罗河病毒在蚊子、野生鸟类和家禽种群之间传播的离散时间模型。计算了模型的基本繁殖数 R 和无病平衡点的表达式。基于 R 确定了无病平衡点的局部稳定性。利用最优控制理论设计了最有效的蚊虫幼虫杀虫剂、成蚊杀虫剂和家禽保护管理方案，以控制蚊子-野生鸟类-家禽群落中的病毒传播。
