On the mathematical model of the concentration of pollutants and their impact on the population of the river

DOI10.1016/j.rinam.2023.100414MaRDI QIDQ6197589

M. I. Boborakhimova, Jozil O. Takhirov

Publication date: 20 March 2024

Published in: Results in Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

a priori estimatesreaction-diffusion-advection equationstoxicantmodel with free boundary

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Population dynamics (general) (92D25) Free boundary problems for PDEs (35R35) Quasilinear parabolic equations (35K59) Initial-boundary value problems for second-order parabolic systems (35K51)

Cites Work

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• Effects of heterogeneity on spread and persistence in rivers
• Spreading speed revisited: analysis of a free boundary model
• PDE problems arising in mathematical biology
• Biological invasion in a predator-prey model with a free boundary
• A free boundary problem for a reaction-diffusion equation appearing in biology
• The Emergence of Range Limits in Advective Environments
• $R_0$ Analysis of a Spatiotemporal Model for a Stream Population
• Free boundary problems in biology
• Spreading-Vanishing Dichotomy in the Diffusive Logistic Model with a Free Boundary
• A Spatiotemporal Model for the Effects of Toxicants on Populations in a Polluted River
• Selected Topics on Reaction-Diffusion-Advection Models from Spatial Ecology
• Propagation and reaction–diffusion models with free boundaries

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