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arXiv · 2109.15194

Global solvability in a two-species chemotaxis system with signal production

Guoqiang Ren·Tian Xiang
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Abstract

In this work, we study the Neumann initial-boundary value problem for a two-species chemotaxis system with Lotka-Volterra competition and signal production. Under a rather weak and clean condition of sub-quadratic type damping and merely integrable initial data, we establish the global existence of generalized solutions in an N dimensional bounded and smooth domain.

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Guoqiang Ren, Tian Xiang. 2021-09-30. Global solvability in a two-species chemotaxis system with signal production. https://doi.org/10.1063/5.0040652

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