Review of fractional epidemic models

Y Chen, F Liu, Q Yu, T Li - Applied mathematical modelling, 2021 - Elsevier
The global impact of corona virus (COVID-19) has been profound, and the public health
threat it represents is the most serious seen in a respiratory virus since the 1918 influenza A …

Mathematical modeling of prostate cancer and clinical application

T Phan, SM Crook, AH Bryce, CC Maley, EJ Kostelich… - Applied Sciences, 2020 - mdpi.com
We review and synthesize key findings and limitations of mathematical models for prostate
cancer, both from theoretical work and data-validated approaches, especially concerning …

Global stability analysis of a fractional differential system in hepatitis B

LC Cardoso, RF Camargo, FLP dos Santos… - Chaos, Solitons & …, 2021 - Elsevier
This paper describes the dynamics of hepatitis B by a fractional-order model in the Caputo
sense. The basic results of the fractional hepatitis B model are presented. Two equilibrium …

LMI-based stability analysis of fractional order systems of neutral type with time varying delays under actuator saturation

ZS Aghayan, A Alfi, JAT Machado - Computational and Applied …, 2021 - Springer
This article addresses the stability of uncertain fractional order systems of neutral type under
actuator saturation. Some criteria regarding the asymptotic robust stability of such type of …

The impact of dual time delay and Caputo fractional derivative on the long-run behavior of a viral system with the non-cytolytic immune hypothesis

M Naim, Y Sabbar, M Zahri, B Ghanbari, A Zeb… - Physica …, 2022 - iopscience.iop.org
Proceeding from the fact that fractional systems can better characterize the virological
properties than the ordinary formulation, in the present study, we treat a Caputo fractional …

Delay-dependent parameters bifurcation in a fractional neural network via geometric methods

S Li, J Cao, H Liu, C Huang - Applied Mathematics and Computation, 2024 - Elsevier
Delayed fractional neural network models are addressed to describe the effects of signal
losses due to delay, the memory of neurons and self-feedback delay on the dynamics. The …

Dynamics of fractional-order epidemic models with general nonlinear incidence rate and time-delay

A Kashkynbayev, FA Rihan - Mathematics, 2021 - mdpi.com
In this paper, we study the dynamics of a fractional-order epidemic model with general
nonlinear incidence rate functionals and time-delay. We investigate the local and global …

Stability analysis of a fractional virotherapy model for cancer treatment

R Tavoni, PFA Mancera… - Revista Colombiana de …, 2021 - revistas.unal.edu.co
This paper presents a stability analysis of a differential equations model related to the
cancer treatment with an oncolytic virus in its classical and fractional version via Caputo …

[图书][B] Recent advances in cancer diagnostics and therapy: A nano-based approach

A Pandey, S Srivastava - 2022 - taylorfrancis.com
This book provides information about different types and stages of cancer and their subtypes
with their respective molecular mechanisms, etiology, histopathology, and cellular origins …

Prostate Cancer Modeling: Exploring a Path from Theory and Practice

T Phan - 2021 - search.proquest.com
The representation of a patient's characteristics as the parameters of a model is a key
component in many studies of personalized medicine, where the underlying mathematical …