Abstract
From the dynamic point of view we construct a food chain model with chemotaxis and investigate theoretically and numerically its steady states. Our results show how the combined action of the death rates, chemotaxis, diffusivity and predator-prey interactions 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 coexistence conditions of all consumer levels. The analytical results are corroborated by numerical simulations.
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