Chaos of calcium diffusion in Parkinson's infectious disease model and treatment mechanism via Hilfer fractional derivative

H Joshi, BK Jha - Mathematical Modelling and Numerical Simulation …, 2021 - dergipark.org.tr
Calcium is a vital element in our body and plays a crucial role to moderate the calcium
signalling process. Calcium-dependent protein and flux through the sodium-calcium …

[HTML][HTML] Numerical solution and dynamical behaviors for solving fractional nonlinear Rubella ailment disease model

AMS Mahdy, MS Mohamed, K Lotfy, M Alhazmi… - Results in Physics, 2021 - Elsevier
In this manuscript, we work on the essential collocation technique via utilizing the shifted
second Chebyshev polynomials type (SSCPT). The numeral technique for unraveling the …

New approaches to the fractional dynamics of schistosomiasis disease model

M Yavuz, E Bonyah - Physica A: Statistical Mechanics and its Applications, 2019 - Elsevier
In this paper, schistosomiasis fractional order dynamic model is examined via exponential
law kernel sense and Mittag-Leffler kernel in Liouville–Caputo sense. Some special …

On semi analytical and numerical simulations for a mathematical biological model; the time-fractional nonlinear Kolmogorov–Petrovskii–Piskunov (KPP) equation

MMA Khater, MS Mohamed, RAM Attia - Chaos, Solitons & Fractals, 2021 - Elsevier
Through five latest numerical schemes (Adomian decomposition (AD), El Kalla (EK), cubic B-
spline (CBS), expanded Cubic B-Spline (ECBS), exponential cubic B-spline (ExCBS), this …

[HTML][HTML] Modelling and analysis tuberculosis (TB) model with hybrid fractional operator

M Farman, C Alfiniyah, A Shehzad - Alexandria Engineering Journal, 2023 - Elsevier
In this work, we aim to propose a hybrid fractional-order model for investigation and
observation of the tuberculosis (TB) disease involving constant-proportional Caputo (CPC) …

[HTML][HTML] A novel fractional mathematical model of COVID-19 epidemic considering quarantine and latent time

P Pandey, YM Chu, JF Gómez-Aguilar, H Jahanshahi… - Results in physics, 2021 - Elsevier
In this paper, we investigate the fractional epidemic mathematical model and dynamics of
COVID-19. The Wuhan city of China is considered as the origin of the corona virus. The …

Global dynamics of a fractional-order SIR epidemic model with memory

PA Naik - International journal of biomathematics, 2020 - World Scientific
In this paper, an investigation and analysis of a nonlinear fractional-order SIR epidemic
model with Crowley–Martin type functional response and Holling type-II treatment rate are …

2D dynamic analysis of the disturbances in the calcium neuronal model and its implications in neurodegenerative disease

H Joshi, BK Jha - Cognitive Neurodynamics, 2023 - Springer
Ca2+ signaling is an essential function of neurons to control synaptic activity, memory
formation, fertilization, proliferation, etc. Protein and voltage-dependent calcium channels …

Numerical solutions and geometric attractors of a fractional model of the cancer-immune based on the Atangana-Baleanu-Caputo derivative and the reproducing …

B Maayah, OA Arqub, S Alnabulsi, H Alsulami - Chinese Journal of Physics, 2022 - Elsevier
Recently, it has become critical to attempt to recognize diseases with high death rates
around the world like infectious diseases and cancer. As a result, modeling in mathematics …

Existence theory and numerical solutions to smoking model under Caputo-Fabrizio fractional derivative

SA Khan, K Shah, G Zaman, F Jarad - Chaos: An Interdisciplinary …, 2019 - pubs.aip.org
In this paper, taking fractional derivative due to Caputo and Fabrizo, we have investigated a
biological model of smoking type. By using Sumudu transform and Picard successive …