2022/01/11 by Peng Zhou, Qihua Huang · 1 citation
Environmental Science · Mathematics · Medicine · #Fish Ecology and Management Studies #Mathematical Biology Tumor Growth #Mathematical and Theoretical Epidemiology and Ecology Models
paper · doi:10.1137/21m1405629
crossref issued 2022/01/11 · crossref published 2022/01/11 · crossref published-online 2022/01/11 · openalex publication_date 2022/01/11 · crossref created 2022/01/11 · crossref published-print 2022/02/01 · crossref deposited 2022/02/28 · openalex created_date 2025/10/10 · crossref indexed 2026/07/30 · openalex updated_date 2026/07/31
One reason why polluted water is the growing global concern is because it persists to pose threats to the health of aquatic life. To study the effects of environmental toxicants on population dynamics in polluted rivers, we develop a process-oriented model that describes the interaction between a population and a toxicant in an advective environment. The model consists of two reaction-diffusion-advection equations, one of which governs the dispersal and growth of the population under the influence of toxicants, while the other describes the dispersal, input, as well as decay of the toxicant. We explore the existence and stability of steady states based on the analysis of eigenvalue problems, which yields sufficient conditions that lead to population persistence or extinction. We numerically analyze how the interplay between several factors (toxicant input, flow velocity, the diffusion and advection characteristics of the population and the toxicant) affects the persistence and spatial distribution of the population.