Special Issue: Recent development of reaction-diffusion-advection models with the taxis mechanism

Guest Editors

Prof. Yong Jung Kim
Department of Mathematical Sciences, KAIST, 291 Daehak-ro, Yuseong-gu, Daejeon, 34141, Korea
Email: yongkim@kaist.edu


Prof. Qi Wang
Department of Mathematics, Southwestern University of Finance and Economics, Wenjiang, Chengdu, Sichuan 611130, China
Email: qwang@swufe.edu.cn


Prof. Zhi-An Wang
Department of Applied Mathematics The Hong Kong Polytechnic University, Hung Hom, Hong Kong
Email: mawza@polyu.edu.hk

Manuscript Topics


A taxis is the movement of an organism in response to a stimulus such as light or the presence of food. Taxes are classified by the type of stimulus, such as chemotaxis, preytaxis, phototaxis, alarmtaxis and so on. The taxis is said to be positive (or attractive) if the organism's movement is to move towards the stimulus or negative (repulsive) if the movement is in the opposite direction. Virtually, every motile organism exhibits some type of taxis and hence mathematical studies of various taxi models will be of importance to gain insights into the understanding of interesting dynamics underlying them.  Though the most well-known taxis model at population level is the Keller-Segel system originally proposed for chemotaxis, the wealthy mathematical theories/methods developed for the Keller-Segel system and its variants are playing increasingly important roles in understanding the qualitative behaviors of other type of taxis models.


This special issue focuses on the recent advances of theories developed for all types of taxis models from different angles ranging from modeling, analysis to numerics. The aim of this special issue is to develop/collect results for various taxis models to enrich the understanding of taxis mechanism employed in more diversified and broader biological/ecology contexts other than classical chemotaxis, such as models with Fokker-Planck type diffusion, density-suppressed motility and urban crime.


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Paper Submission

All manuscripts will be peer-reviewed before their acceptance for publication. The deadline for manuscript submission is 31 October 2022

Published Papers()