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Stochastic Lotka-Volterra Equations
, 2023 reservedThe Lotka-Volterra equations describe the population dynamics of species interacting with each other. It is of particular interest to study the number of coexisting species at stationarity, and their abundance distribution.
GRILLETTA, CHRISTIAN
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Alexandria Engineering Journal, 2013 A numerical method based on an NM-set of general, hybrid of block-pulse function and Taylor series (HBT), is proposed to approximate the solution of nonlinear Volterra–Fredholm integral equations. The properties of HBT are first presented.
Farshid Mirzaee, Ali Akbar Hoseini
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On the chain of commuting operators on Banach spaces
Bulletin of the London Mathematical Society, Volume 58, Issue 9, September 2026.Abstract An operator T$T$ on a Banach space is said to be of chain N$N$ if there exist non‐scalar operators S1,⋯,SN−1$S_1,\dots,S_{N-1}$ and a non‐zero compact operator K$K$ such that T↔S1↔S2↔⋯↔SN−1↔K,$$\begin{equation*} T \leftrightarrow S_1 \leftrightarrow S_2 \leftrightarrow \dots \leftrightarrow S_{N-1} \leftrightarrow K, \end{equation*}$$where A↔B$
Tomasz Szczepanski
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Volterra integral and differential equations /
, 2005 Most mathematicians, engineers, and many other scientists are well-acquainted with theory and application of ordinary differential equations. This book seeks to present Volterra integral and functional differential equations in that same framwork ...
Burton, T. A.(Theodore Allen),
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Stability Issues for Selected Stochastic Evolutionary Problems: A Review
Axioms, 2018 We review some recent contributions of the authors regarding the numerical approximation of stochastic problems, mostly based on stochastic differential equations modeling random damped oscillators and stochastic Volterra integral equations.
Angelamaria Cardone +3 more
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Solution of a singular integral equation by a split-interval method
, 2007 The article is available at http://www.math.ualberta.ca/ijnam/Volume-4-2007/No-1-07/2007-01-05.pdf. This article is not available through the Chester Digital RepositoryThis article discusses a new numerical method for the solution of a singular integral ...
Ford, Neville J. +3 more
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On the oscillation of Volterra summation equations [PDF]
, 2001 summary:The asymptotic and oscillatory behavior of solutions of Volterra summation equations \[ y_{n}=p_{n} \pm \sum _{s=0}^{n-1}K(n,s)f(s,y_{s}), \ n\in \mathbb{N} \] where $\mathbb{N}=\lbrace 0,1,2,\dots \rbrace $, are studied. Examples are included to
Thandapani, E., Ravi, K.
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Asymptotic properties of stochastic population dynamics [PDF]
, 2008 In this paper we stochastically perturb the classical Lotka{Volterra model x_ (t) = diag(x1(t); ; xn(t))[b + Ax(t)] into the stochastic dierential equation dx(t) = diag(x1(t); ; xn(t))[(b + Ax(t))dt + dw(t)]: The main aim is to study the asymptotic ...
Key Programs of Science and Technology of Guangzhou (Funder) +6 more
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Regularity of backward stochastic volterra integral equations in Hilbert spaces
, 2010 This article investigates backward stochastic Volterra integral equations in Hilbert spaces. The existence and uniqueness of their adapted solutions is reviewed. We establish the regularity of the adapted solutions to such equations by means of Malliavin
Anh, Vo +6 more
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Analysis of Perturbed Volterra Integral Equations on Time Scales
, 2020 This paper describes the effect of perturbation of the kernel on the solutions of linear Volterra integral equations on time scales and proposes a new perspective for the stability analysis of numerical ...
Youssef N. Raffoul +2 more
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