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A Reduction Algorithm for Volterra Integral Equations

The PUMP Journal of Undergraduate Research, 2023
An integral equation is a way to encapsulate the relationships between a function and its integrals. We develop a systematic way of describing Volterra integral equations – specifically an algorithm that reduces any separable Volterra integral equation into an equivalent one in operator-linear form, i.e., one that only contains iterated integrals. This
Richard Gustavson, Sarah Rosen
openaire   +3 more sources

Optimal control and multitrophic physiologically‐based models: The binomial for successful decision support systems in insect pest management

Pest Management Science, EarlyView.
Decision‐making in integrated pest management (IPM) corresponds to an optimisation problem where the plant–pest dynamics and the control actions are constraints and where the objective function accounts for the costs of the treatments and the total income at the harvest time.
Luca Rossini, Ouassim Benhamouche, Emanuele Garone   +2 more
wiley   +1 more source

Adaptive harvesting of two trophic levels stabilises predator–prey dynamics. Simulations with Eurasian lynx and European roe deer

Wildlife Biology, EarlyView.
Europe has seen the recovery of many species of wild herbivores, which are now widespread across much of the continent. In addition, large carnivores are also recolonising many European countries. Most ungulates are managed through hunting, but natural predation can also have a significant influence in many areas.
Cécile A. E. Carpentier, Marco Heurich, Olivier Devineau, Olivier Gimenez, John D. C. Linnell   +4 more
wiley   +1 more source

Ecological examples of nonstationarity, nonlinearity and statistical interactions in dynamic structural equation models

Methods in Ecology and Evolution, EarlyView.
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

Distributed-memory parallelization of an explicit time-domain volume integral equation solver on Blue Gene/P [PDF]

, 2012
Two distributed-memory schemes for efficiently parallelizing the explicit marching-on in-time based solution of the time domain volume integral equation on the IBM Blue Gene/P platform are presented.
Cheeseman, M, Bağcı, H, Al-Jarro, A
core  

Solvability of Some Integral Equations in Banach Space and Their Applications to the Theory of Viscoelasticity

Abstract and Applied Analysis, 2012
An integral equation of Volterra type with additional compact operator in Banach space is considered. A special case is an integral equation of contact problem that arises in theory of viscoelasticity of mixed Fredholm and Volterra type with spectral ...
Onur Alp İlhan
doaj   +1 more source

Existence of solutions for a class of nonlinear Volterra integro-dynamic equations on time scales [PDF]

Arab Journal of Mathematical Sciences
PurposeThis 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
doaj   +1 more source

Discovering data‐driven microbial growth models with symbolic regression

Methods in Ecology and Evolution, EarlyView.
Abstract Connecting mathematical models with empirically measured microbial growth has remained challenging, as numerous competing models based on different theoretical approaches can fit observations. Therefore, we develop a method to automatically propose growth models from microbial data alone. We validate this approach using an available dataset of
T. Anthony Sun, Dovydas Kičiatovas, Inga‐Katariina Aapalampi, Teemu Kuosmanen, Teppo Hiltunen, Ville Mustonen   +5 more
wiley   +1 more source

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, Wilfried Grecksch, Yong, Jiongmin, Anh, Vo V., Vo V. Anh, Grecksch, Wilfried, Jiongmin Yong   +6 more
core   +1 more source

On Some Classes of Linear Volterra Integral Equations

Abstract and Applied Analysis, 2014
The sufficient conditions are obtained for the existence and uniqueness of continuous solution to the linear nonclassical Volterra equation that appears in the integral models of developing systems.
Anatoly S. Apartsyn
doaj   +1 more source