Dynamical analysis of a toxin-producing phytoplankton-zooplankton model with refuge
نویسندگان
چکیده
منابع مشابه
SPATIOTEMPORAL DYNAMIC OF TOXIN PRODUCING PHYTOPLANKTON (TPP)-ZOOPLANKTON INTERACTION
The present paper deals with a toxin producing phytoplankton (TPP)-zooplankton interaction in spatial environment in thecontext of phytoplankton bloom. In the absence of diffusion the stability of the given system in terms of co-existence and hopf bifurcation has been discussed. After that TPP-zooplankton interaction is considered in spatiotemporal domain by assuming self diffusion in both popu...
متن کاملDynamical Complexity of a Spatial Phytoplankton-Zooplankton Model with an Alternative Prey and Refuge Effect
The spatiotemporal dynamics of a phytoplankton-zooplanktonmodelwith an alternative prey and refuge effect is investigatedmathematically and numerically.The stability of the equilibriumpoint and the travelingwave solution of the phytoplankton-zooplankton model are described based on theoretical mathematical work, which provides the basis of the numerical simulation.The numerical analysis shows t...
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In this work, we propose and analyze a model of Phytoplankton-Zooplankton interaction with harvesting considering that some species are exploited commercially for food. Criteria for local stability, instability and global stability are derived and some threshold harvesting levels are explored to maintain the population at an appropriate equilibrium level even if the species are exploited contin...
متن کاملA fractional-order toxin producing phytoplankton and zooplankton system
In this work, we investigate the dynamical behavior of a fractional-order toxin producing on a phytoplankton–zooplankton (TPPZ) system with nutrient cycling. We propose a mathematical system to model this situation. All the feasible equilibria of the system are obtained and the conditions for the existence of the equilibriums are determined. Local stability analysis of the TPPZ is studied by us...
متن کاملspatiotemporal dynamic of toxin producing phytoplankton (tpp)-zooplankton interaction
the present paper deals with a toxin producing phytoplankton (tpp)-zooplankton interaction in spatial environment in thecontext of phytoplankton bloom. in the absence of diffusion the stability of the given system in terms of co-existence and hopf bifurcation has been discussed. after that tpp-zooplankton interaction is considered in spatiotemporal domain by assuming self diffusion in both popu...
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ژورنال
عنوان ژورنال: Mathematical Biosciences and Engineering
سال: 2016
ISSN: 1551-0018
DOI: 10.3934/mbe.2017032