TEMPORAL AND SPATIAL DYNAMICS OF BACTERIA IN RIVERS AFFECTED BY POLLUTION

Imene Meriem Mostefaoui; Ali Moussaoui; Abdellatif Seghiour

doi:10.11948/20240214

2026 Volume 16 Issue 3

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Imene Meriem Mostefaoui, Ali Moussaoui, Abdellatif Seghiour. TEMPORAL AND SPATIAL DYNAMICS OF BACTERIA IN RIVERS AFFECTED BY POLLUTION[J]. Journal of Applied Analysis & Computation, 2026, 16(3): 1517-1534. doi: 10.11948/20240214

Citation:

Imene Meriem Mostefaoui, Ali Moussaoui, Abdellatif Seghiour. TEMPORAL AND SPATIAL DYNAMICS OF BACTERIA IN RIVERS AFFECTED BY POLLUTION[J]. Journal of Applied Analysis & Computation, 2026, 16(3): 1517-1534. doi: 10.11948/20240214

TEMPORAL AND SPATIAL DYNAMICS OF BACTERIA IN RIVERS AFFECTED BY POLLUTION

1.
Laboratoire D'Analyse Non Linéaire et Mathématiques Appliquées, Université de Tlemcen, 13000, Algeria
2.
Electric Power and Energy Systems Research Laboratory, Ecole Supérieure en Génie Electrique et Energétique d'Oran, 31000, Algeria
3.
Departement of Mathematics, Faculty of Sciences, University Abou Bekr Belkaid-Tlemcen, 13000, Algeria

Author Bio: Email: moussaouiali@gmail.com(A. Moussaoui); Email: seghiour.abdellatif@gmail.com(A. Seghiour)
Corresponding author: Email: imene.meriem.mostefaoui@gmail.com(I. M. Mostefaoui)

Abstract

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.
- Reaction-diffusion equations /
- nonlinear PDE of elliptic type /
- antibiotic-resistant bacteria
MSC: 35K57, 35J60, 92B05

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References

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