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 …

The dynamics of COVID-19 with quarantined and isolation

MA Khan, A Atangana, E Alzahrani… - Advances in Difference …, 2020 - Springer
In the present paper, we formulate a new mathematical model for the dynamics of COVID-19
with quarantine and isolation. Initially, we provide a brief discussion on the model …

An extended SEIR model with vaccination for forecasting the COVID-19 pandemic in Saudi Arabia using an ensemble Kalman filter

R Ghostine, M Gharamti, S Hassrouny, I Hoteit - Mathematics, 2021 - mdpi.com
In this paper, an extended SEIR model with a vaccination compartment is proposed to
simulate the novel coronavirus disease (COVID-19) spread in Saudi Arabia. The model …

A study on fractional host–parasitoid population dynamical model to describe insect species

S Kumar, A Kumar, B Samet… - Numerical Methods for …, 2021 - Wiley Online Library
The parasitoid is a broad evolutionary association of hymenopteran insects which are well‐
known as biological control agents. Parasites are different from predators because parasites …

Fractional model of COVID-19 applied to Galicia, Spain and Portugal

F Ndaïrou, I Area, JJ Nieto, CJ Silva… - Chaos, Solitons & …, 2021 - Elsevier
A fractional compartmental mathematical model for the spread of the COVID-19 disease is
proposed. Special focus has been done on the transmissibility of super-spreaders …

Mathematical model for spreading of COVID‐19 virus with the Mittag–Leffler kernel

K Logeswari, C Ravichandran… - Numerical Methods for …, 2024 - Wiley Online Library
In the Nidovirales order of the Coronaviridae family, where the coronavirus (crown‐like
spikes on the surface of the virus) causing severe infections like acute lung injury and acute …

Mathematical epidemiological modeling and analysis of monkeypox dynamism with non-pharmaceutical intervention using real data from United Kingdom

M Ngungu, E Addai, A Adeniji, UM Adam… - Frontiers in Public …, 2023 - frontiersin.org
In this study, a mathematical model for studying the dynamics of monkeypox virus
transmission with non-pharmaceutical intervention is created, examined, and simulated …

Numerical solution for generalized nonlinear fractional integro-differential equations with linear functional arguments using Chebyshev series

KK Ali, MA Abd El Salam, EMH Mohamed… - Advances in Difference …, 2020 - Springer
In the present work, a numerical technique for solving a general form of nonlinear fractional
order integro-differential equations (GNFIDEs) with linear functional arguments using …

Lyapunov functions for fractional-order systems in biology: Methods and applications

A Boukhouima, K Hattaf, EM Lotfi, M Mahrouf… - Chaos, Solitons & …, 2020 - Elsevier
We prove new estimates of the Caputo derivative of order α∈(0, 1] for some specific
functions. The estimations are shown useful to construct Lyapunov functions for systems of …

A fractional model for population dynamics of two interacting species by using spectral and Hermite wavelets methods

S Kumar, S Ghosh, R Kumar… - Numerical Methods for …, 2021 - Wiley Online Library
Abstract The Lotka‐Volterra model is a very famous model and frequently used to describe
the dynamics of ecological systems in which two species interact, one a predator and one its …