论文标题

结合效果,以确保吸引抑制趋化模型中的界限与生产和消费

Combining effects ensuring boundedness in an attraction-repulsion chemotaxis model with production and consumption

论文作者

Li, Tongxing, Frassu, Silvia, Viglialoro, Giuseppe

论文摘要

本文在一系列有关吸引 - 抑制趋化模型的研究中构建了不同的影响:非线性扩散,敏感性和逻辑来源,针对细胞密度的动力学以及对化学物质的动力学以及消耗和/或生产影响。特别是,在此,我们关注的是产生粒子分布的趋势的信号,而相反的对应物则被消耗。从这种意义上讲,这项研究补充了两个最近的结果,其中化学物质根据不同的法律进化。

This paper is framed in a series of studies on attraction-repulsion chemotaxis models combining different effects: nonlinear diffusion and sensitivities and logistic sources, for the dynamics of the cell density, and consumption and/or production impacts, for those of the chemicals. In particular, herein we focus on the situation where the signal responsible of gathering tendencies for the particles' distribution is produced, while the opposite counterpart is consumed. In such a sense, this research complements two recent results, where the chemicals evolve according to different laws.

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