Long transients in ecology: Theory and applications
This paper discusses the recent progress in understanding the properties of transient
dynamics in complex ecological systems. Predicting long-term trends as well as sudden …
dynamics in complex ecological systems. Predicting long-term trends as well as sudden …
Seven challenges in the multiscale modeling of multicellular tissues
The growth and dynamics of multicellular tissues involve tightly regulated and coordinated
morphogenetic cell behaviors, such as shape changes, movement, and division, which are …
morphogenetic cell behaviors, such as shape changes, movement, and division, which are …
Pattern formation in a three-species cyclic competition model
In nature, different species compete among themselves for common resources and
favorable habitat. Therefore, it becomes really important to determine the key factors in …
favorable habitat. Therefore, it becomes really important to determine the key factors in …
A posteriori error analysis in finite element approximation for fully discrete semilinear parabolic problems
YA Sabawi - Finite Element Methods and Their Applications, 2020 - books.google.com
This Chapter aims to investigate the error estimation of numerical approximation to a class of
semilinear parabolic problems. More specifically, the time discretization uses the backward …
semilinear parabolic problems. More specifically, the time discretization uses the backward …
Posteriori error bound for fullydiscrete semilinear parabolic integro-differential equations
YA Sabawi - Journal of physics: Conference series, 2021 - iopscience.iop.org
The main goal of this paper is to obtain error bounds for parabolic integro-differential
equation. The derivation of these bounds is based elliptic and Ritz-Volterra reconstructions …
equation. The derivation of these bounds is based elliptic and Ritz-Volterra reconstructions …
A Posteriori Error Bound in Finite Element Approximation of Semdiscrete Semilinear Parabolic Problems
YA Sabawi - 2019 first international conference of computer …, 2019 - ieeexplore.ieee.org
This work aims to construct a posteriori error bounds for semidiscrete semilinear parabolic
problems in terms of L∞(H 1) norm. The curtail idea is to adapt the elliptic reconstruction …
problems in terms of L∞(H 1) norm. The curtail idea is to adapt the elliptic reconstruction …
Travelling waves approach in a parabolic coupled system for modelling the behaviour of substances in a fuel tank
JLD Palencia - Applied Sciences, 2021 - mdpi.com
The aim of this work was to provide a formulation of a non-linear diffusion model with forced
convection in the form of a reaction–absorption system. The model was studied with …
convection in the form of a reaction–absorption system. The model was studied with …
A Posteriori L_∞(L_2)+ L_2 (H^ 1)–Error Bounds in Discontinuous Galerkin Methods For Semidiscrete Semilinear Parabolic Interface Problems
YA Sabawi - Baghdad Science Journal, 2021 - bsj.uobaghdad.edu.iq
The aim of this paper is to derive a posteriori error estimates for semilinear parabolic
interface problems. More specifically, optimal order a posteriori error analysis in the-norm for …
interface problems. More specifically, optimal order a posteriori error analysis in the-norm for …
A modified Lotka–Volterra oscillating chemical scheme for detonation simulation
Abstract Modified Lotka–Volterra chemical schemes were developed with the goal of
performing numerical simulation of detonation driven by single-and multi-stage heat release …
performing numerical simulation of detonation driven by single-and multi-stage heat release …
Order and disorder in a cyclically competitive ecological community
We consider a deterministic model of a rock-paper-scissors () cyclic ecological system. The
model accounts for species mobility via Fickian diffusion, as well as interspecies interactions …
model accounts for species mobility via Fickian diffusion, as well as interspecies interactions …