Food chain length of a ecological model with prey-taxis

In this paper, we construct a ecological system with prey-taxis. From the dynamic point of view we analytically and numerically investigate the steady states. 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 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. Numerical simulation corroborates the analytical results.