A wavelet based numerical scheme for fractional order SEIR epidemic of measles by using Genocchi polynomials

S Kumar, R Kumar, MS Osman… - Numerical methods for …, 2021 - Wiley Online Library
Epidemiology is the glorious discipline underlying medical research, public health practice,
and health care evaluation. Nowadays, research on disease models with anonymous …

[HTML][HTML] Fractal fractional-order derivative for HIV/AIDS model with Mittag-Leffler kernel

M Farman, A Akgül, MT Tekin, MM Akram… - Alexandria Engineering …, 2022 - Elsevier
In this paper, HIV/AIDS fractional-order model is studied. This epidemic phenomenon is
analyzed using Caputo-Fabrizio and Fractal fractional derivative operator that includes an …

Global dynamics of a fractional order model for the transmission of HIV epidemic with optimal control

PA Naik, J Zu, KM Owolabi - Chaos, Solitons & Fractals, 2020 - Elsevier
In this paper, a nonlinear fractional order epidemic model for HIV transmission is proposed
and analyzed by including extra compartment namely exposed class to the basic SIR …

Non-fractional and fractional mathematical analysis and simulations for Q fever

JKK Asamoah, E Okyere, E Yankson, AA Opoku… - Chaos, Solitons & …, 2022 - Elsevier
The purpose of analysing the transmission dynamism of Q fever (Coxiellosis) in livestock
and incorporating ticks is to outline some management practices to minimise the spread of …

A fractional-order model for the novel coronavirus (COVID-19) outbreak

K Rajagopal, N Hasanzadeh, F Parastesh… - Nonlinear …, 2020 - Springer
The outbreak of the novel coronavirus (COVID-19), which was firstly reported in China, has
affected many countries worldwide. To understand and predict the transmission dynamics of …

Volterra-type Lyapunov functions for fractional-order epidemic systems

C Vargas-De-León - Communications in Nonlinear Science and Numerical …, 2015 - Elsevier
In this paper we prove an elementary lemma which estimates fractional derivatives of
Volterra-type Lyapunov functions in the sense Caputo when α∈(0, 1). Moreover, by using …

Mittag-Leffler stability of fractional-order Hopfield neural networks

S Zhang, Y Yu, H Wang - Nonlinear Analysis: Hybrid Systems, 2015 - Elsevier
Fractional-order Hopfield neural networks are often used to model how interacting neurons
process information. To show reliability of the processed information, it is needed to perform …

[HTML][HTML] The role of prostitution on HIV transmission with memory: A modeling approach

PA Naik, M Yavuz, J Zu - Alexandria Engineering Journal, 2020 - Elsevier
HIV is a topic that has been greatly discussed and researched due to its impact on human
population. Many campaigns have been put into place, and people have been made aware …

A fractional-order epidemic model with time-delay and nonlinear incidence rate

FA Rihan, QM Al-Mdallal, HJ AlSakaji… - Chaos, Solitons & …, 2019 - Elsevier
In this paper, we provide an epidemic SIR model with long-range temporal memory. The
model is governed by delay differential equations with fractional-order. We assume that the …

[HTML][HTML] Analysis of a fractional SEIR model with treatment

R Almeida - Applied Mathematics Letters, 2018 - Elsevier
In this paper we focus on models consisting of fractional differential equations to describe
the dynamics of certain epidemics. The population is divided into susceptible, exposed …