Results 71 to 80 of about 3,846,782 (204)
iMetaOmics, Volume 3, Issue 3, September 2026.This graphical abstract presents a novel Diet‐Artificial Intelligence (AI)‐intestinal Microbiota–Host Health paradigm integrating microbiota‐centric pathways and an AI‐driven multi‐omics workflow. Diet shapes gut bacteria that regulate intestinal mucosal integrity, immune signaling, and gut–brain neurotransmitters to influence host health.
Tianle He +16 more
wiley +1 more source
Numerical treatment of the nonlinear Volterra integral equation by Newton-Kantorovich method
, 2022 Many problems which arise in mathematical physics, engineering, biology, economics,...etc., lead to mathematical models described by nonlinear integral equation. In this work, the aim is solve numerically the nonlinear Volterra integral equation by the
GENDOUZ, Aicha +1 more
core
Existence and Stability Analysis of Nonlinear Volterra-Fredholm Integral Equations
Proceedings of the International Conference on Applied Innovations in ITThe aim of this paper is to prove the existence and uniqueness of a solution for a Volterra-Fredholm nonlinear integral equation in two variables under certain conditions, for example, Using the Lipschitz condition with Banach's space contraction ...
Shahab A. Hassan +2 more
doaj +1 more source
Electronic Journal of Qualitative Theory of Differential Equations, 2018 The paper deals with the study of the existence of solutions of a quadratic integral equation of Volterra–Stieltjes type. We are looking for solutions in the class of real functions continuous and bounded on the real half-axis $\mathbb{R}_+$ and ...
Jozef Banas, Agnieszka Dubiel
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Finite‐Block Polynomial and Volterra Structure in Reservoir Computing
Numerical Linear Algebra with Applications, Volume 33, Issue 4, August 2026.ABSTRACT Reservoir computing is analyzed through the algebraic structure generated by finite‐width reservoirs on fixed input blocks. For linear and quadratic logistic activations, the induced input‐to‐state map admits an exact finite Volterra representation, yielding an explicit characterization of the associated hypothesis class.
Alfio Borzì
wiley +1 more source
Competitive Lotka–Volterra population dynamics with jumps [PDF]
, 2011 This paper considers competitive Lotka–Volterra population dynamics with jumps. The contributions of this paper are as follows. (a) We show that a stochastic differential equation (SDE) with jumps associated with the model has a unique global positive ...
Yuan, Chenggui +3 more
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Existence of solutions for a class of nonlinear Volterra integro-dynamic equations on time scales [PDF]
Arab Journal of Mathematical SciencesPurposeThis paper encompasses recent developments on a class of nonlinear Volterra integro-dynamic equations on arbitrary time scales. More precisely, we provide some conditions under which the considered equations have at least one, at least two and at ...
Svetlin Georgiev, Youssef N. Raffoul
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Methods in Ecology and Evolution, Volume 17, Issue 8, Page 2510-2523, August 2026.Abstract Ecologists are adapting structural causal modelling for spatial, phylogenetic and time‐series analysis. However, ecological extensions of path analysis and structural equation models (SEM) typically assume that interactions among variables are stationary, linear and additive, while ecological and evolutionary dynamics are often nonstationary ...
James T. Thorson, Kasper Kristensen
wiley +1 more source
Mathematical Modelling and Analysis, 2012 In this paper the controllable system whose behaviour is described by a nonlinear Volterra integral equation, is studied. The set of admissible control functions is the closed ball of the space L p (p > 1) with radius µ 0 and centered at the origin.
Anar Huseyin, Nesir Huseyin
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Coexistence of poorer competitors for all available resources requires greater niche overlap
Ecosphere, Volume 17, Issue 7, July 2026.Abstract The need for niche differentiation among resource competitors to coexist is a universally accepted principle in ecology. However, this principle is derived from models with one or two resources or no resource dynamics at all. Graphical analysis of a consumer‐resource model including three resources shows that a consumer that is not the best ...
Mark A. McPeek
wiley +1 more source