In this paper the dynamical behaviour of toxin producing phytoplankton and zooplankton system is investigated. The toxin producing phytoplankton are divided into two groups: susceptible phytoplankton and infected phytoplankton. Conditions of local stability of various equilibrium points are derived. Further it is observed that the range of toxin liberation parameter increases for the coexistenc...

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...

Toxic or allelopathic compounds liberated by toxin-producing phytoplankton (TPP) acts as a strong mediator in plankton dynamics. On an analysis of a set of phytoplankton biomass-data that have been collected by our group in the North-West part of the Bay of Bengal, and by analysis of a three-component mathematical model under a constant as well as a stochastic environment, we explore the role o...

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...

In this paper, a delayed plankton-nutrient interaction model consisting of phytoplankton, zooplankton and dissolved nutrient is considered. It is assumed that some species of phytoplankton releases toxin (known as toxin producing phytoplankton (TPP)) which is harmful for zooplankton growth and this toxin releasing process follows a discrete time variation. Using delay as bifurcation parameter, ...

Ecological Stoichiometry theory predicts that the production, elemental structure and cellular content of biomolecules should depend on the relative availability of resources and the elemental composition of their producer organism. We review the extent to which carbon- and nitrogen-rich phytoplankton toxins are regulated by nutrient limitation and cellular stoichiometry. Consistent with theory...

Abstract Many populations of water fleas ( Daphnia ) are exposed to algal blooms dominated by microcystin‐producing cyanobacteria. However, the severity these effects on fitness remain poorly understood in natural populations. We investigated seasonal changes body size, reproduction and survival D . longispina individuals from five eutrophic lakes southern Sweden. tested whether collected befor...

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...

In this paper, we consider a two species non-autonomous discrete competitive phytoplankton system with one toxin producing phytoplankton. We show that for such kind of system, it is also possible one of the components be driven to extinction while the other one will be globally attractive with any positive solution of a discrete logistic equation under some conditions. Our results supplement th...