Dynamics of a periodic tick-borne disease model with co-feeding and multiple patches

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