Long transients in ecology: Theory and applications

A Morozov, K Abbott, K Cuddington, T Francis… - Physics of life …, 2020 - Elsevier
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 …

Seven challenges in the multiscale modeling of multicellular tissues

AG Fletcher, JM Osborne - WIREs mechanisms of disease, 2022 - Wiley Online Library
The growth and dynamics of multicellular tissues involve tightly regulated and coordinated
morphogenetic cell behaviors, such as shape changes, movement, and division, which are …

Pattern formation in a three-species cyclic competition model

K Manna, V Volpert, M Banerjee - Bulletin of Mathematical Biology, 2021 - Springer
In nature, different species compete among themselves for common resources and
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 …

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 …

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 …

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 …

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 …

A modified Lotka–Volterra oscillating chemical scheme for detonation simulation

M Faghih, J Melguizo-Gavilanes, R Mével - Combustion and Flame, 2023 - Elsevier
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 …

Order and disorder in a cyclically competitive ecological community

TI Stiadle, A Bayliss, VA Volpert - SIAM Journal on Applied Dynamical Systems, 2023 - SIAM
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 …