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A Population Harvesting Model with Time and Size Competition Dependence Function
We consider a nonlinear model describing a forest harvesting of a size-structured trees population with intra-specific competition, where the...
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Multicovariance and Multicorrelation for p-variables
The covariance and correlation are important indicators to measure the linear dependence between two variables. The multivariables as p-variables in...
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Absence of Chaotic Size Dependence for Spin Glasses on Hierarchical Lattices
We investigate the question of whether chaotic size dependence occurs on hierarchical lattices and demonstrate that it is not present in these...
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A Parameterized View on the Complexity of Dependence Logic
In this paper, we investigate the parameterized complexity of model checking for Dependence Logic which is a well studied logic in the area of Team...
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Turán’s Theorem Through Algorithmic Lens
The fundamental theorem of Turán from Extremal Graph Theory determines the exact bound on the number of edges...
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Schrödinger Flow’s Dispersive Estimates in a regime of Re-scaled Potentials
The problem of monitoring the (constants in the estimates that quantify the) dispersive behaviour of the flow generated by a Schrödinger operator is...
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Influence of nonlinear spatial distribution of stress and strain on solving problems of solid mechanics
The stress and the strain should be defined as statistical variables averaged over the representative volume elements for any real continuum system....
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Derivation of a Generalised Replicator Equation in the Limit of Weak Selection
The replicator equation is often applied for describing the change in frequency of competing subpopulations, but has only been formally derived under...
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Inferring density-dependent population dynamics mechanisms through rate disambiguation for logistic birth-death processes
Density dependence is important in the ecology and evolution of microbial and cancer cells. Typically, we can only measure net growth rates, but the...
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Focusing of Compression Waves in a Pipe Containing Annular Bubble Cluster
AbstractThis paper presents a study of two-dimensional waves in a pipe with water containing an annular near-wall cluster of bubbles. The waves...
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Human mobility and disease prevalence
We examine the effect of human mobility on disease prevalence by studying the dependence of the total infected population at endemic equilibria with...
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Real Acceleration of Communication Process in Distributed Algorithms with Compression
Modern applied optimization problems become more and more complex every day. Due to this fact, distributed algorithms that can speed up the process...
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On Connectivity of Conditional Configuration Graphs under Destruction
Configuration graphs with node degrees being independent identically distributed random variables following the power-law distribution with a shift...
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A mathematical model for axonal transport of large cargo vesicles
In this study, we consider axonal transport of large cargo vesicles characterised by transient expansion of the axon shaft. Our goal is to formulate...
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On the T-Matrix in the Electrostatic Problem for the Spheroidal Particle with a Spherical Core
A solution to the electrostatic problem for the spheroidal particle with a spherical core is constructed. To involve the problem geometry in a full...
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A generalized approach to solving the mixed boundary value problem governing self-diffusiophoresis
Active matter is an emerging area of interest but the broken symmetry necessary for motion increases the complexity of mathematical modeling....
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Higher-Order Finite Element Methods for the Nonlinear Helmholtz Equation
In this work, we analyze the finite element method with arbitrary but fixed polynomial degree for the nonlinear Helmholtz equation with impedance...
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Practical initialization of the Nelder–Mead method for computationally expensive optimization problems
Black-box optimization (BBO) algorithms are widely employed by practitioners to address computationally expensive real-world problems such as...
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Antiplane shear crack in a prestressed elastic medium based on the couple stress theory
A prestressed elastic medium containing a mode-III crack is studied by means of the couple stress theory (CST). Based on the CST under initial...
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Subsonic Rarefied Gas Flow over a Rectangular Cylinder
AbstractA subsonic rarefied gas flow past a rectangular cylinder of infinite span is studied by applying a numerical method based on the solution of...
