Nonlinear biological population model; computational and numerical investigations

MMA Khater - Chaos, Solitons & Fractals, 2022 - Elsevier
This research paper provides precise solutions for nonlinear fractional population biology
(FBP) models by implementing the generalized Khater (GK) technique and utilizing …

Abundant and accurate computational wave structures of the nonlinear fractional biological population model

MMA Khater - International Journal of Modern Physics B, 2023 - World Scientific
In this paper, the generalized exponential (GExp) method has been employed to construct
novel solitary wave solutions of the nonlinear fractional biological population (FBP) model …

Abundant analytical and numerical solutions of the fractional microbiological densities model in bacteria cell as a result of diffusion mechanisms

MMA Khater, RAM Attia, AH Abdel-Aty, W Alharbi… - Chaos, Solitons & …, 2020 - Elsevier
In this paper, an analytical scheme [the generalized Sinh–Gordon equation method) with a
new fractional operator (ABR fractional operator] is employed to find novel computational …

Computational and numerical simulations for the nonlinear fractional Kolmogorov–Petrovskii–Piskunov (FKPP) equation

MMA Khater, RAM Attia, D Lu - Physica Scripta, 2020 - iopscience.iop.org
This research paper elucidates solitary, compacton, and peakon computational solutions,
and numerical solutions of the nonlinear fractional Kolmogorov–Petrovskii–Piskunov (FKPP) …

[HTML][HTML] Novel explicit breath wave and numerical solutions of an Atangana conformable fractional Lotka–Volterra model

MMA Khater, MS Mohamed, H Alotaibi… - Alexandria Engineering …, 2021 - Elsevier
This research studies novel analytical solutions of an Atangana conformable fractional Lotka–
Volterra (LV) model system arising in ecology by means of three systematic schemes (the …

[HTML][HTML] Plenty accurate soliton wave solutions of the prototype of an excitable system

SH Alfalqi, JF Alzaidi, YF Zhang, SA Salama, M Khater - AIP Advances, 2021 - pubs.aip.org
In this paper, the nonlinear fractional Lotka–Volterra model is analyzed and numerically
studied. This research is based on applying the three latest analytical schemes and three …

Computational schemes between the exact, analytical and numerical solution in present of time—fractional ecological model

L Wu, AA Mousa, D Lu, MMA Khater - Physica Scripta, 2020 - iopscience.iop.org
This paper investigates the accuracy of three recent computational schemes (the extended
simplest method (ESEM), sech—tanh expansion method (STEM), and modified Kudryashov …

Density-pressure IBVP: Numerical analysis, simulation and cell dynamics in a colonic crypt

GCM Campos, JA Ferreira, G Romanazzi - Applied Mathematics and …, 2022 - Elsevier
This paper proposes a finite difference method for a differential-algebraic system that
couples an elliptic equation with a convection-diffusion-reaction equation with mixed …

[HTML][HTML] Mathematical model for simulation of morphological changes associated to crypt fission in the colon

G Romanazzi, G Settanni - Discrete and Continuous Dynamical …, 2022 - aimsciences.org
Morphological changes due to colorectal cancer propagation by an abnormal crypt fission is
an interesting application arising in medicine and biology, that we try to analyse by a …

Método numérico para resolução de problema pressão-densidade-deslocamento: com condições de fronteira mistas

EP de Oliveira, G Romanazzi - Proceeding Series of …, 2025 - proceedings.sbmac.org.br
No processo de desenvolvimento do câncer no cólon do reto, mutações podem surgir na
estrutura chamada cripta, que contém células-tronco e transientes. Neste trabalho, nós …