Abstract: Mathematical models are an important tool for understanding disease systems in general and as aids for designing control and management strategies both for vectors and vector-borne diseases. In this paper a model is derived for the interaction of the brown ear tick ( Rhipicephalus appendiculatus) with its hosts. First a general model consisting of a system of differential equations with constant coefficients on a stage structured tick population with unlimited host density is presented. The model is then improved by incorporating host abundance and availability by means of a demand-driven, ratio-dependent functional response model. The improved model adequately represents the dynamics of a stage structured vector population under conditions of varying host density. The model efficiently synthesizes existing information allowing for a qualitative evaluation of several management strategies and the identification of gaps in the actual understanding of the system. The model is expected to guide future research work in the area.