Nutrient-phytoplankton-zooplankton models with a toxin
From MaRDI portal
Publication:2489098
DOI10.1016/j.mcm.2005.09.030zbMath1086.92053OpenAlexW1993602348MaRDI QIDQ2489098
Sophia R.-J. Jang, J. Rick, James Baglama
Publication date: 16 May 2006
Published in: Mathematical and Computer Modelling (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.mcm.2005.09.030
Dynamical systems in biology (37N25) Ecology (92D40) Qualitative investigation and simulation of ordinary differential equation models (34C60) Global stability of solutions to ordinary differential equations (34D23) Asymptotic properties of solutions to ordinary differential equations (34D05)
Related Items
Analysis of a plankton-fish model with external toxicity and nonlinear harvesting ⋮ Nonlinear dynamics of a marine phytoplankton-zooplankton system ⋮ Mathematical analysis of toxin-phytoplankton-fish model with self-diffusion and cross-diffusion ⋮ EFFECT OF DILUTION RATE ON THE PREDICTABILITY OF A REALISTIC ECOSYSTEM MODEL WITH INSTANTANEOUS NUTRIENT RECYCLING ⋮ Dynamic analysis of a fractional order system ⋮ The dynamic of plankton-nutrient interaction with delay ⋮ Effects of toxin delay on the dynamics of a phytoplankton-zooplankton model ⋮ Impact of refuge prey: A bottom-up top-down phytoplankton-zooplankton interaction model ⋮ A fractional-order toxin producing phytoplankton and zooplankton system ⋮ Qualitative analysis of a discrete-time phytoplankton-zooplankton model with Holling type-II response and toxicity ⋮ Prey-predator-scavenger model with Monod-Haldane type functional response ⋮ Complex behavior of prey-predator system exhibiting group defense: A mathematical modeling study ⋮ Optimal control of harvesting effort in a phytoplankton-zooplankton model with infected zooplankton under the influence of toxicity ⋮ Unnamed Item ⋮ A nonautonomous model for the effect of environmental toxins on plankton dynamics ⋮ Dynamics of a fractional plankton-fish model under the influence of toxicity, refuge, and combine-harvesting efforts ⋮ Optimal control of eutrophication processes in a moving domain ⋮ Dynamical analysis of a reaction-diffusion phytoplankton-zooplankton system with delay ⋮ Bottom up and top down effect on toxin producing phytoplankton and its consequence on the formation of plankton bloom ⋮ Plankton-toxin interaction with a variable input nutrient ⋮ Almost periodic solution of a non-autonomous model of phytoplankton allelopathy ⋮ Complex dynamics in a harvested nutrient-phytoplankton-zooplankton model with seasonality ⋮ On the dynamical behavior of toxic-phytoplankton-zooplankton model with delay ⋮ Nonlinear dynamics of a toxin-phytoplankton-zooplankton system with self- and cross-diffusion ⋮ Dynamical Analysis of a Phytoplankton–Zooplankton System with Harvesting Term and Holling III Functional Response ⋮ Mathematical analysis of a three-dimensional eutrophication model ⋮ Dynamical behavior of a delay differential equation system on toxin producing phytoplankton and zooplankton interaction ⋮ Role of toxin producing phytoplankton on a plankton ecosystem ⋮ Harvesting of a phytoplankton-zooplankton model ⋮ Hopf-pitchfork bifurcation in a phytoplankton-zooplankton model with delays ⋮ An arbitrary Lagrangian Eulerian formulation for a 3D eutrophication model in a moving domain ⋮ Coexistence solutions and their stability of an unstirred chemostat model with toxins ⋮ Global stability and Hopf-bifurcation in a zooplankton-phytoplankton model ⋮ The complex dynamics of a stochastic toxic-phytoplankton-zooplankton model ⋮ Stationary distribution and periodic solution of stochastic toxin-producing phytoplankton-zooplankton systems ⋮ Role of delay on planktonic ecosystem in the presence of a toxic producing phytoplankton ⋮ Unnamed Item ⋮ The effect of continuous and pulse input nutrient on a lake model ⋮ Stability and selective harvesting of a phytoplankton-zooplankton system ⋮ Modeling and analysis of a two-zooplankton one-phytoplankton system in the presence of toxicity ⋮ A prey–predator system with disease in prey and cooperative hunting strategy in predator ⋮ Study of stability and bifurcation of three species food chain model with non-monotone functional response
Cites Work
- Unnamed Item
- The dynamics of a model of a plankton-nutrient interaction
- A mathematical model of two-trophic-level aquatic systems with two complementary nutrients
- Convergence results and a Poincaré-Bendixson trichotomy for asymptotically autonomous differential equations
- Persistence and coexistence in zooplankton-phytoplankton-nutrient models with instantaneous nutrient recycling
- A simple food chain with a growth inhibiting nutrient
- Persistence under Relaxed Point-Dissipativity (with Application to an Endemic Model)
