Steady state of a food chain model with prey-taxis

From the dynamic point of view we construct a chemotactic food chain model and investigate its steady state. Our results show how the combined action of the death rates, chemotaxis, diffusivity and conversion efficiency to influence the survival ability of multiple consumer levels in a closed ecological system with self-produced nutriment. Furthermore, the food chain length of our model can be determined by the co-existence conditions of all consumer levels.