Modelling the interaction of two biological species in a polluted environment
From MaRDI portal
Publication:1577968
DOI10.1006/jmaa.2000.6741zbMath0952.92030OpenAlexW2053929212MaRDI QIDQ1577968
Publication date: 22 November 2000
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jmaa.2000.6741
global asymptotic stabilitycompetition modellocal asymptotic stabilitycooperation modeleffect of diffusion
Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Ecology (92D40)
Related Items (47)
Analysis of a stochastic delay predator-prey system with jumps in a polluted environment ⋮ Analysis of a plankton-fish model with external toxicity and nonlinear harvesting ⋮ Nonlinear dynamics of a marine phytoplankton-zooplankton system ⋮ Analysis of a delayed stochastic predator-prey model in a polluted environment ⋮ Mathematical analysis of toxin-phytoplankton-fish model with self-diffusion and cross-diffusion ⋮ Emergent behaviour in a chlorophenol-mineralising three-tiered microbial `food web' ⋮ Dynamics of a two-species Lotka-Volterra competition system in a polluted environment with pulse toxicant input ⋮ Modeling the effect of an intermediate toxic product formed by uptake of a toxicant on plant biomass ⋮ A mathematical model for chemical defense mechanism of two competing species ⋮ A model for delayed effect of toxicant on resource-biomass system ⋮ Complex Dynamics of Wetland Ecosystem with Nonlinear Harvesting: Application to Chilika Lake in Odisha, India ⋮ Stochastic dynamics of a facultative mutualism system in a polluted environment ⋮ A non-autonomous approach to study the impact of environmental toxins on nutrient-plankton system ⋮ Effects of toxicants on phytoplankton-zooplankton-fish dynamics and harvesting ⋮ Modelling the effects of pollution on a population and a resource in a polluted environment ⋮ GLOBAL DYNAMICS ANALYSIS OF A NONLINEAR IMPULSIVE STOCHASTIC CHEMOSTAT SYSTEM IN A POLLUTED ENVIRONMENT ⋮ A DELAY MODEL FOR THE EFFECTS OF ENVIRONMENTAL TOXICANT ON BIOLOGICAL SPECIES ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Extinction and persistence in mean of a novel delay impulsive stochastic infected predator-prey system with jumps ⋮ Nonlinear dynamics of a toxin-phytoplankton-zooplankton system with self- and cross-diffusion ⋮ Global analysis of a new nonlinear stochastic differential competition system with impulsive effect ⋮ Modeling and analysis of inhibitory effect in plankton-fish model: application to the hypertrophic Swarzedzkie Lake in Western Poland ⋮ Existence and optimal harvesting of two competing species in a polluted environment with pollution reduction effect ⋮ Spatiotemporal dynamics in a reaction–diffusion toxic-phytoplankton–zooplankton model ⋮ DIFFUSION-DRIVEN INSTABILITIES AND SPATIO-TEMPORAL PATTERNS IN AN AQUATIC PREDATOR–PREY SYSTEM WITH BEDDINGTON–DEANGELIS TYPE FUNCTIONAL RESPONSE ⋮ Weak average persistence and extinction of a predator-prey system in a polluted environment with impulsive toxicant input ⋮ Dynamics of a waterborne pathogen model under the influence of environmental pollution ⋮ A diffusive stage-structured model in a polluted environment ⋮ Modeling the impact of rain on population exposed to air pollution ⋮ Modelling effects of industrialization, population and pollution on a renewable resource ⋮ Influence of environmental pollution to a waterborne pathogen model: global dynamics and asymptotic profiles ⋮ EFFECT OF DELAY ON TWO COMPETING ORGANISM IN A POLLUTED ENVIRONMENT ⋮ Dynamics of a stochastic predator-prey system in a polluted environment with pulse toxicant input and impulsive perturbations ⋮ Modeling the survival of a resource-dependent population: Effects of toxicants (pollutants) emitted from external sources as well as formed by its precursors ⋮ Dynamic behaviors of a single-species population model with birth pulses in a polluted environment ⋮ PERSISTENCE AND GLOBAL STABILITY OF A POPULATION IN A POLLUTED ENVIRONMENT WITH DELAY ⋮ A MODEL FOR THE EFFECT OF TIME DELAY ON THE DYNAMICS OF A POPULATION LIVING IN A POLLUTED ENVIRONMENT ⋮ A stochastic mutualism model with saturation effect and impulsive toxicant input in a polluted environment ⋮ MODELING EFFECTS OF PRIMARY AND SECONDARY TOXICANTS ON RENEWABLE RESOURCES ⋮ INFLUENCE OF INVESTING IN TREATING A POLLUTED ENVIRONMENT ON THE HARVEST: A PROBLEM OF OPTIMAL ALLOCATION ⋮ Spatiotemporal pattern formation in a diffusive predator-prey system: An analytical approach ⋮ Identification of the initial population of a nonlinear predator-prey system backwards in time ⋮ The Effects of Impulsive Toxicant Input on a Population in a Polluted Environment ⋮ Models for the effect of environmental pollution on forestry resources with time delay ⋮ General conditions for global stability in a single species population-toxicant model ⋮ Nonlinear models for the survival of two competing species dependent on resource in industrial environments
Cites Work
- Unnamed Item
- Stability by Liapunov's direct method. With applications
- Effects of toxicants on populations: a qualitative approach II. First order kinetics
- Persistence in population models with demographic fluctuations
- Effects of parameter fluctuations on community survival
- Effects of convective and dispersive interactions on the stability of two species
- Multispecies food webs with diffusion
- Models for the effect of toxicant in single-species and predator-prey systems
- The threshold of survival for system of two species in polluted environment
- Global stability in Lotka-Volterra systems with diffusion
- Modelling the effect of toxicant on forestry resources
- Modelling the depletion and conservation of forestry resources: effects of population and pollution
- THE EFFECT OF A PREDATOR RESOURCE ON A DIFFUSIVE PREDATOR PREY SYSTEM
This page was built for publication: Modelling the interaction of two biological species in a polluted environment
