Understanding the effect of vector dynamics in epidemic models using centermanifold analysis

摘要

In vector borne diseases the human hosts' epidemiology often acts on a much slower timescales than the one of the mosquitos which transmit the disease as a vector from human tohuman, due to their vastly different life cycles. We investigate in a model withsusceptible (S), infected (I) and recovered (R) humans and susceptible (U) and infected(V) mosquitoes in how far the fast time scale of the mosquito epidemiology can be slavedby the slower human epidemiology, so that for the understanding of human disease datamainly the dynamics of the human time scale is essential and only slightly perturbed bythe mosquito dynamics. This analysis of the SIRUV model is qualitatively in agreement witha previously investigated simpler SISUV model, hence a feature of vector-borne diseases ingeneral.