TEMPORAL AND SPATIAL DYNAMICS OF BACTERIA IN RIVERS AFFECTED BY POLLUTION
Abstract
This paper presents a convection-reaction-diffusion system; our objective is to apply this model in quantifying and analyzing the spatial arrangement of bacteria resistant to antibiotics within a river. By means of our research, we successfully determine a sufficient condition for the presence of a non-constant positive solution for the associated elliptic system through Leray-Schauder's degree theory. To further support our findings, we have included numerical simulations that align with our theoretical analysis.
Fields of Study & Subjects
Mathematical and Theoretical Epidemiology and Ecology Models
Mathematical Biology Tumor Growth
Nonlinear Partial Differential Equations
Publication details
- Journal / source
- Journal of Applied Analysis & Computation
- Volume
- 16
- Issue
- 3
- Pages
- 1517–1534
- Publication date
- 1 January 2026
- Language
- EN