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- Title
Spatiotemporal Dynamics of a Phytoplankton-zooplankton System with Spatial Diffusion and Toxic Effect.
- Authors
Kejun Zhuang; Peixian Cui
- Abstract
In this paper, a reaction-diffusion phytoplanktonzooplankton model with toxic effect is investigated. Firstly, the basic properties of solutions of the model and the existence of coexistent equilibrium are established. Secondly, the local stability of nonnegative equilibrium solutions in the absence of time delay is analyzed. Thirdly, delay-induced Hopf bifurcation is derived by using the bifurcation theory. Finally, some numerical simulations and conclusions are given.
- Subjects
SPATIAL systems; POISONS; TOXICITY testing; HOPF bifurcations; BIFURCATION theory; MARINE zooplankton; TOXIC algae
- Publication
IAENG International Journal of Applied Mathematics, 2022, Vol 52, Issue 1, p165
- ISSN
1992-9978
- Publication type
Article