A food chain model with prey-taxis and chemotaxis
by Manjun Ma; Yazhou Han; Jicheng Tao; Delin Wu
International Journal of Modelling, Identification and Control (IJMIC), Vol. 19, No. 3, 2013

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.

Online publication date: Sat, 27-Sep-2014

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