A Spatiotemporal Model for the Effects of Toxicants on Populations in a Polluted River
From MaRDI portal
Publication:5024353
DOI10.1137/21M1405629zbMath1481.92187OpenAlexW4206140188MaRDI QIDQ5024353
No author found.
Publication date: 31 January 2022
Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/21m1405629
Nonlinear parabolic equations (35K55) Reaction-diffusion equations (35K57) Population dynamics (general) (92D25) Ecology (92D40)
Related Items (18)
On a second order eigenvalue problem and its application ⋮ Dynamics and pattern formation in a reaction-diffusion-advection mussel-algae model ⋮ Predator-prey systems in open advective heterogeneous environments with Holling-Tanner interaction term ⋮ Critical bait casting threshold of cage culture in open advective environments ⋮ Invasion dynamics of a predator-prey system in closed advective environments ⋮ Interactions Between Pelagic and Benthic Producers: Asymmetric Competition for Light and Nutrients ⋮ A diffusion-advection predator-prey model with a protection zone ⋮ Dynamical behavior of a spatiotemporal model in open advective environments ⋮ Invasion analysis of a two‐species Lotka–Volterra competition model in an advective patchy environment ⋮ Dynamics of a spatiotemporal model on populations in a polluted river ⋮ Dynamical analysis of a competition‐diffusion‐advection system with Dirichlet boundary conditions ⋮ On a competition model in stream environments: the effects of seasonal pulses and advection ⋮ Effects of diffusion and advection on predator-prey dynamics in closed environments ⋮ Dynamics of a diffusive mussel-algae system in closed advective environments ⋮ Global Dynamics and Pattern Formation in a Diffusive Population-Toxicant Model with Negative Toxicant-Taxis ⋮ On the mathematical model of the concentration of pollutants and their impact on the population of the river ⋮ Disease transmission dynamics of an epidemiological predator-prey system in open advective environments ⋮ Global dynamics of a general competitive reaction-diffusion-advection system in one dimensional environments
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Evolution of dispersal in open advective environments
- On a Lotka-Volterra competition system: diffusion vs advection
- The impact of environmental toxins on predator-prey dynamics
- Effects of heterogeneity on spread and persistence in rivers
- Persistence and extinction of a population in a polluted environment
- Effects of toxicants on populations: a qualitative approach II. First order kinetics
- Evolution of conditional dispersal: a reaction-diffusion-advection model
- A mathematical model for pollution in a river and its remediation by aeration
- Geometric theory of semilinear parabolic equations
- Models for the effect of toxicant in single-species and predator-prey systems
- Elliptic partial differential equations of second order
- Global dynamics of a Lotka-Volterra competition-diffusion-advection system in heterogeneous environments
- Bifurcations and global dynamics in a toxin-dependent aquatic population model
- Direct and indirect effects of toxins on competition dynamics of species in an aquatic environment
- Global dynamics of a classical Lotka-Volterra competition-diffusion-advection system
- A model for the impact of contaminants on fish population dynamics
- Global dynamics of a Lotka-Volterra competition-diffusion system in advective homogeneous environments
- Ecological and evolutionary dynamics in advective environments: critical domain size and boundary conditions
- Long time behaviors of single-species population models with psychological effect and impulsive toxicant in polluted environments
- Evolution of conditional dispersal: evolutionarily stable strategies in spatial models
- Population dynamics and evolution in river ecosystems
- Evolution of dispersal in advective homogeneous environment: the effect of boundary conditions
- Spatial patterns and coexistence mechanisms in systems with unidirectional flow
- Persistence, spread and the drift paradox
- On Lotka-Volterra competitive parabolic systems: exclusion, coexistence and bistability
- $R_0$ Analysis of a Benthic-Drift Model for a Stream Population
- The Emergence of Range Limits in Advective Environments
- Global Dynamics of the Lotka-Volterra Competition-Diffusion System: Diffusion and Spatial Heterogeneity I
- $R_0$ Analysis of a Spatiotemporal Model for a Stream Population
- Evolution of dispersal in closed advective environments
- The dynamical systems approach to differential equations
- Spatial Ecology via Reaction‐Diffusion Equations
- Uniqueness and Complete Dynamics in Heterogeneous Competition-Diffusion Systems
- Selected Topics on Reaction-Diffusion-Advection Models from Spatial Ecology
- Dynamical systems in population biology
This page was built for publication: A Spatiotemporal Model for the Effects of Toxicants on Populations in a Polluted River
