Multiple approaches can be used to meet the nth order wavelet analysis consistency requirement between balanced multiwavelets and armlets. Due to the complexity of the n-balancing conditions, it is difficult to construct a family of n-balanced orthogonal multiwavelets for a relatively large n....

We examine spatially explicit models described by reaction–diffusion partial differential equations for the study of predator–prey population dynamics. The numerical methods we propose are based on the coupling of a finite difference/element spatial discretization and a suitable partitioned...

The forests are ecological systems of great complexity which present interaction phenomena associated with the competition between individuals of the same and of different species. This competition is about access to resources (light, water, nutrients, etc.). The scales of forest ecosystems are...

In present work, with aims to eradicate plant diseases or maintain the number of infected plants below the Economic Threshold, the plant disease models including nonlinear impulsive functions and cultural control strategies are proposed and analyzed. Firstly, the model with impulsive effects at...

Single-phase, two-component slightly compressible miscible flow in porous media, is governed by a system of nonlinear partial differential equations. The density of the mixture is related to the pressure and the concentration. An approximate scheme is introduced for this system, which is...

The aim of this paper is to expound an original algebraic model for managing the knowledge provided by different expert humans when developing expert systems. This model is conceived as an extension of classical propositional logics in which each proposition is associated with a set of human...

This paper discusses the inhomogeneous nonlinear Schrödinger equation with critical exponent. By constructing a variational problem and the so-called invariant manifolds of the evolution flow, we derive a sharp criterion for blowup and global existence of the solutions.

This paper proposes a mathematical model of multidirectional associative memory (MAM) neural network with almost periodic coefficients and continuously distributed delays. By using exponential dichotomy and spectral radius, a sufficient condition for the existence and the global exponential...

We present a high-order discontinuous Galerkin (DG) method for solving the time-dependent Maxwell equations on non-conforming hybrid meshes. The hybrid mesh combines unstructured tetrahedra for the discretization of irregularly shaped objects with a hexahedral mesh for the rest of the...

In this paper we generalize the solution of random Riemann problem for a scalar equation, for flux function with one inflection point. We introduce both a bifurcation theory for the state space (uL, uR) and an efficient numerical method. The statistical moments are obtained from a computable...