Steady States of a Diffusive Population-Toxicant Model with Negative Toxicant-Taxis

• Published in: Acta applicandae mathematicae Vol. 190; no. 1; p. 13
• Main Author: Chu, Jiawei
• Format: Journal Article
• Language: English
• Published: Dordrecht Springer Netherlands 01.04.2024; Springer Nature B.V
• Subjects: Applications of Mathematics; Boundary conditions; Calculus of Variations and Optimal Control; Optimization; Computational Mathematics and Numerical Analysis; Heterogeneity; Mathematics; Mathematics and Statistics; Ordinary differential equations; Partial Differential Equations; Probability Theory and Stochastic Processes; Steady state; Theorems; Toxicant-taxis; Non-existence; 35J15; 35K57; Existence; 35B09; Non-constant steady states; 35Q92

This paper is dedicated to studying the steady state problem of a population-toxicant model with negative toxicant-taxis, subject to homogeneous Neumann boundary conditions. The model captures the phenomenon in which the population migrates away from regions with high toxicant density towards areas...