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ISSN 2063-5346
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Dynamics of One-Phytoplankton Two-Zooplankton System with Square Root Functional Response and Time Lag

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Pankaj Kumar, Gazal Sharma, Varun Sharma
» doi: 10.48047/ecb/2023.12.si7.244

Abstract

In this paper, the effects of Phytoplankton and two competing Zooplanktons are studied using a mathematical model. The associated state variables are Phytoplankton H,Zooplankton C_1 and Zooplankton C_2. The assumption is that if the ratio of mortality rates of Zooplankton to the radical of the carrying volume of the Phytoplankton inhabitants is larger than their respective conversion efficiency and predation rates, the Phytoplankton inhabitants will survive as well as Zooplankton inhabitants will tend to extinction. The addition of delay disrupted the system's interior, axial and boundary equilibrium, and at the critical point of the delay parameter, Hopf bifurcation occurs. Sensitivity analysis is performed on to the model parameters also. MATLAB is used to assist analytical findings with numerical simulation.

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