Titlebook: Analysis of Reaction-Diffusion Models with the Taxis Mechanism; Yuanyuan Ke,Jing Li,Yifu Wang Book‘‘‘‘‘‘‘‘ 2022 The Editor(s) (if applicab

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Direct Methods for Sparse Matricesphenomena (see Hillen and Painter 2009). For example, the fruit fly Drosophila melanogaster navigates up gradients of attractive odors during food location, and male moths follow pheromone gradients released by the female during mate location.

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Lecture Notes in Computer ScienceIn the early 1970s, Keller and Segel proposed the cross-diffusion system to describe the phenomenon of spatial structures in biological system through chemical induced processes ([93, 94]).

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https://doi.org/10.1007/3-540-12676-7The reaction–diffusion models can reproduce a wide variety of exquisite spatio-temporal patterns arising in embryogenesis, development and population dynamics due to the diffusion-driven (Turing) instability [102, 162].

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