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Resource landscape shapes the composition and stability of the human vaginal microbiota. [PDF]
Kamiya T +7 more
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Nonlinear SPDEs and Maximal Regularity: An Extended Survey. [PDF]
Agresti A, Veraar M.
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Design and application of synthetic human gut microbial communities. [PDF]
Kim MS, Bisanz JE.
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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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