By extending a mechanistic model for the tick-borne pathogen systemic transmission with the consideration of seasonal climate impacts, host movement as well as the co-feeding transmission route, this paper proposes a novel modeling framework for describing the spatial dynamics of tick-borne diseases. The net reproduction number for tick growth and basic reproduction number for disease transmission are derived, which predict the global dynamics of tick population growth and disease transmission. Numerical simulations not only verify the analytical results, but also characterize the contribution of co-feeding transmission route on disease prevalence in a habitat and the effect of host movement on the spatial spreading of the pathogen.

考虑到季节性气候影响，宿主运动以及共同进食的传播途径，通过扩展the传播病原体系统传播的机理模型，本文提出了一个新颖的建模框架来描述tick传播疾病的空间动态。得出tick的净繁殖数和疾病传播的基本繁殖数，它们预测了tick种群的增长和疾病传播的全球动态。数值模拟不仅验证了分析结果，而且表征了共同进食传播途径对生境中疾病流行的贡献以及宿主运动对病原体空间扩散的影响。