The home team advantage in association football is a well known phenomenon. The aim of this paper is to offer a different view on the home team advantage. Usually, in association football, every two teams – team A and team B – play each other twice in a sea...

The research presented in this article provides an alternative option pricing approach for a class of rough fractional stochastic volatility models. These models are increasingly popular between academics and practitioners due to their surprising consistency with financial markets. However, they ...

We study the existence and qualitative properties of traveling wave solutions for the unbalanced bistable reaction-diffusion equation with a rather general density dependent diffusion coeffcient. In particular, it allows for singularities and/or degenerations as well as discontinuities of the fi&...

In this article we introduce rather general notion of the stationary solution of the bistable equation which allows to treat discontinuous density dependent diffusion term with singularities and degenerations, as well as degenerate or non-Lipschitz balanced bistable reaction term. We prove t...

Background Obesity leads to low-grade inflammation in the adipose tissue and liver and neuroinflammation in the brain. Obesity-induced insulin resistance (IR) and neuroinflammation seem to intensify neurodegeneration including Alzheimer's disease. In this study, the impact of high-fat (HF) diet-induced...

We consider a one-dimensional reaction–diffusion equation of Fisher–Kolmogoroff– Petrovsky–Piscounoff type. We investigate the effect of the interaction between the nonlinear diffusion coefficient and the reaction termon the existence and non-existence of travelling waves. Our diffusion coefficient is allowed&#...

Diet is a strong modifier of microbiome and mucosal microenvironment in the gut. Recently, components of western-type diets have been associated with metabolic and immune diseases. Here, we studied how high-sugar diet (HSD) consumption influences gut mucosal barrier and immune response under...

The Nagumo lattice differential equation admits stationary solutions with arbitrary spatial period for sufficiently small diffusion rate. The continuation from the stationary solutions of the decoupled system (a system of isolated nodes) is used to determine their types; the solutions are la...

For a positive integer i, Z(i) is the graph obtained by attaching an endvertex of a path of length i to a vertex of a triangle. We prove that every 3-connected {K(1,3), Z(7)}-free graph is Hamilton-connected, with one exceptional graph. The result is sharp.I

In this paper, we present numerical results obtained by an in-house incompressible fluidflow solver based on isogeometric analysis (IgA) for the standard benchmark problem for incompressiblefluid flow simulation – lid-driven cavity flow. The steady Navier-Stokes equations are solved in theirvelocity-p...

Coronary artery disease is one of the most frequent causes of morbidity and mortality worldwide. It is even more prevalent in patients with type 2 diabetes mellitus who suffer from obesity and increased accumulation of epicardial fat with a possible contributing role in the de...

We study two coupled discrete-time equations with different (asynchronous) periodic time scales. The coupling is of the type sample and hold, i.e., the state of each equation is sampled at its update times and held until it is read as an input at the next update time...

Angloamerican mathematician John Horton Conway was a universal and charismatic figure. He significantly influenced number theory, group theory, game theory, node theory, dynamical systems and recreational mathemaics. He became famous because of his unique personality and uncoventional approach to prob...

A star edge-coloring of a graph G is a proper edge-coloring without bichromatic paths and cycles of length four. The smallest integer k such that G admits a star edge-coloring with k colors is the star chromatic index of G. In the seminal paper on the topic, Dvo...

It is shown that for any choice of four different vertices x_1,...,x_4 in a 2-block G of order p>3, there is a hamiltonian cycle in G^2 containing four different edges x_iy_i of E(G) for certain vertices y_i, i=1,2,3,4. This result is best possible.

We consider a modified version of a suspension bridge model with a spatially variable stiffness parameter to reflect the discrete nature of the placement of the bridge hangers. We study the qualitative and quantitative properties of this model and compare the cases of constant ...

Home advantage in sports is important for coaches, players, fans, and commentators and has a key role in sports prediction models. This paper builds on results of recent research that—instead of points gained—used goals scored and goals conceded to describe home advantage. This off...

Main objective of this paper is to study positive decaying solutions for a class of quasilinear problems with weights. We consider one dimensional problems on an interval which may be finite or infinite. In particular, when the interval is infinite, unlike the known cases in&#...

A dessin is a 2-cell embedding of a connected 2-coloured bipartite graph into an orientable closed surface. A dessin is regular if its group of orientation- and colour-preserving automorphisms acts regularly on the edges. In this paper we study regular dessins whose underlying grap...

The paper gives a global decomposition theorem for edge‐colorings of complete bipartite graphs without properly colored C4. As a corollary, a result on the existence of a monochromatic star is obtained.