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Modified Lotka Volterra Model with Perspectives of the Piecewise Derivative

open access: yes
This study uses the Lotka Volterra Predator-Prey model to offer a notion of piecewise patterns for the various piecewise derivatives. Using the piecewise derivatives, we produced numerical solutions that are referred to as the Adams-Bashforth method.
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The five-variable Volterra system

open access: yesOpen Mathematics, 2011
Zieliński Janusz
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A Conserved Quantity and Lie Derivative for Lotka-Volterra's Echo-System

open access: yesA Conserved Quantity and Lie Derivative for Lotka-Volterra's Echo-System
application/pdf Bulletin of University of Osaka Prefecture. Series A, Engineering and natural sciences.
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Modelling and interpreting the coupling between coherent nonlinear structures and ambient turbulence in fusion plasmas using approaches derived from the Lotka-Volterra equations [PDF]

open access: yes
Turbulent transport in magnetized plasmas is one of the fundamental issues in fusion plasma physics. It is recognized that the interactions between zonal flows(ZFs) and micro-scale drift wave turbulence can influence plasma transport in both Tokamaks and Stellarators. These interactions are believed to play a significant role in the transition from low
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