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Design and application of synthetic human gut microbial communities. [PDF]
Gut MicrobesKim MS, Bisanz JE.
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Increasing environmental fluctuations can dampen variability of endogenously cycling populations. [PDF]
R Soc Open SciKortessis N +3 more
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Derivations of Lotka-Volterra algebras
São Paulo Journal of Mathematical Sciences, 2018A commutative (not necessary associative) algebra \(A\) over a field \(F\) with characteristic not two is called a Lotka-Volterra algebra if it admits a so-called natural basis \(\mathcal{B} = \{e_1,\dots, e_n\}\), such that \(e_i e_j = \alpha_{ij} e_i + \alpha_{ji} e_j\) with \(\alpha_{ij}\in F\) satisfying \(a_{ii} = 1/2\), and \(\alpha_{ij ...
Gutierrez Fernandez, Juan C. +1 more
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Supervised inductive learning with Lotka–Volterra derived models
Knowledge and Information Systems, 2008We present a classification algorithm built on our adaptation of the Generalized Lotka–Volterra model, well-known in mathematical ecology. The training algorithm itself consists only of computing several scalars, per each training vector, using a single global user parameter and then solving a linear system of equations.
Karen Hovsepian +2 more
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Calcolo, 2013
The discrete Lotka-Volterra (dLV) system describes the predator-prey evolution of \(2m-1\) different species \(u_k\), \(k=1,\dots,2m-1\). The time discretisation \(\delta^{(n)}\) may vary with time \(n\). A bidiagonal matrix \(B\in\mathbb{R}^{m\times m}\) defines the initial conditions for \(n=0\). The continuous system results as \(\delta^{(n)}\to0\).
Nagata, Munehiro +2 more
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The discrete Lotka-Volterra (dLV) system describes the predator-prey evolution of \(2m-1\) different species \(u_k\), \(k=1,\dots,2m-1\). The time discretisation \(\delta^{(n)}\) may vary with time \(n\). A bidiagonal matrix \(B\in\mathbb{R}^{m\times m}\) defines the initial conditions for \(n=0\). The continuous system results as \(\delta^{(n)}\to0\).
Nagata, Munehiro +2 more
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Dynamical Behaviours of a Lotka Volterra Model with Katugampola Fractional Derivative
The interdisciplinary journal of Discontinuity, Nonlinearity, and Complexity, 2019In this paper, we study the dynamical behaviours of a very special type of delay differential equation known as Lotka Volterra model (predator-prey model) via Katugampola fractional derivative. The existence and uniqueness results are obtained using the Krasnoselskii’s fixed point theorem.
L. Vignesh, K. Kanagarajan, D. Vivek
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International Journal of Bifurcation and Chaos, 2016
The Lotka–Volterra–Haken equations have been frequently used in ecology and pattern formation. Recently, the equations have been proposed by several research groups as amplitude equations for task-related patterns of brain activity. In this theoretical study, the focus is on the circular causality aspect of pattern formation systems as formulated ...
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The Lotka–Volterra–Haken equations have been frequently used in ecology and pattern formation. Recently, the equations have been proposed by several research groups as amplitude equations for task-related patterns of brain activity. In this theoretical study, the focus is on the circular causality aspect of pattern formation systems as formulated ...
openaire +1 more source