In this paper non-toxic phytoplankton, toxin producing phytoplankton and zooplankton (NTP-TPP-Zooplankton) system is proposed and analyzed. It is assumed that the grazing pressure of zooplankton reduce due to presence of toxin producing phytoplankton. It is observed that TPP free steady state is unstable in nature and depicts bloom phenomena, whereas in the presence of TPP the system settles down to the positive state depicting stable phenomena and play a key role in bloom termination. The qualitative behaviour of the system is verified through our field observation and numerical simulation
Termination of planktonic blooms is of great importance to human health, ecosystem, environment, tou...
In this study, a phytoplankton-zooplankton system has been modelled using a system of differential e...
In this study, a phytoplankton–zooplankton system has been modelled using a system of differential ...
Harmful algal blooms (HABs) event that causes enormous economic loss and health effect raises concer...
Migratory grazing of zooplankton between non-toxic phytoplankton (NTP) and toxic phytoplankton (TPP)...
In this paper we have proposed and analyzed a simple mathematical model consisting of four variables...
In this paper we have proposed and analyzed a simple mathematical model consisting of four variables...
The periodic nature of blooms is the main characteristic in marine plankton ecology. Release of toxi...
The effects of toxin producing plankton and environmental stochasticity are intriguing problems in m...
The inhibitory effects of toxin-producing phytoplankton (TPP) on zooplankton modulate the dynamics o...
We propose periodic systems of phytoplankton-zooplankton interactions with toxin producing phytoplan...
A simple nutrient-phytoplankton model is proposed and analyzed in the presence of toxic chemicals re...
Planktonic blooms and its control is an intriguing problem in ecology. To investigate the oscillator...
Abstract. We investigate dynamical complexities in two types of chaotic tri-trophic aquatic food-cha...
Models of nutrient-plankton interaction with a toxic substance that inhibits either the growth rate ...
Termination of planktonic blooms is of great importance to human health, ecosystem, environment, tou...
In this study, a phytoplankton-zooplankton system has been modelled using a system of differential e...
In this study, a phytoplankton–zooplankton system has been modelled using a system of differential ...
Harmful algal blooms (HABs) event that causes enormous economic loss and health effect raises concer...
Migratory grazing of zooplankton between non-toxic phytoplankton (NTP) and toxic phytoplankton (TPP)...
In this paper we have proposed and analyzed a simple mathematical model consisting of four variables...
In this paper we have proposed and analyzed a simple mathematical model consisting of four variables...
The periodic nature of blooms is the main characteristic in marine plankton ecology. Release of toxi...
The effects of toxin producing plankton and environmental stochasticity are intriguing problems in m...
The inhibitory effects of toxin-producing phytoplankton (TPP) on zooplankton modulate the dynamics o...
We propose periodic systems of phytoplankton-zooplankton interactions with toxin producing phytoplan...
A simple nutrient-phytoplankton model is proposed and analyzed in the presence of toxic chemicals re...
Planktonic blooms and its control is an intriguing problem in ecology. To investigate the oscillator...
Abstract. We investigate dynamical complexities in two types of chaotic tri-trophic aquatic food-cha...
Models of nutrient-plankton interaction with a toxic substance that inhibits either the growth rate ...
Termination of planktonic blooms is of great importance to human health, ecosystem, environment, tou...
In this study, a phytoplankton-zooplankton system has been modelled using a system of differential e...
In this study, a phytoplankton–zooplankton system has been modelled using a system of differential ...