Mathematical analysis to control the spread of Ebola virus epidemic through voluntary vaccination

W Ahmad, M Rafiq, M Abbas - The European Physical Journal Plus, 2020 - Springer
Ebola virus disease (EVD) is one of the deadliest viral infections that has caused a serious
global health problem in the known human history. It was first transmitted to humans through …

Periodic behaviour of an epidemic in a seasonal environment with vaccination

M El Hajji, DM Alshaikh, NA Almuallem - Mathematics, 2023 - mdpi.com
Infectious diseases include all diseases caused by the transmission of a pathogenic agent
such as bacteria, viruses, parasites, prions, and fungi. They, therefore, cover a wide …

Bacterial Competition in the Presence of a Virus in a Chemostat

AH Albargi, M El Hajji - Mathematics, 2023 - mdpi.com
We derive a mathematical model that describes the competition of two populations in a
chemostat in the presence of a virus. We suppose that only one population is affected by the …

Dynamics of amoebiasis transmission: stability and sensitivity analysis

F Hategekimana, S Saha, A Chaturvedi - Mathematics, 2017 - mdpi.com
Compartmental epidemic models are intriguing in the sense that the generic model may
explain different kinds of infectious diseases with minor modifications. However, there may …

Modelling and prediction of the spread of COVID-19 in Cameroon and assessing the governmental measures (march–september 2020)

LN Nkamba, TT Manga - COVID, 2021 - mdpi.com
COVID-19 is an acute respiratory illness in humans caused by a coronavirus, capable of
producing severe symptoms and, in some cases, death, especially in older people and …

An SIRS Epidemic Model Supervised by a Control System for Vaccination and Treatment Actions Which Involve First-Order Dynamics and Vaccination of Newborns

S Alonso-Quesada, M De la Sen, R Nistal - Mathematics, 2021 - mdpi.com
This paper analyses an SIRS epidemic model with the vaccination of susceptible individuals
and treatment of infectious ones. Both actions are governed by a designed control system …

[PDF][PDF] Analysis of a fractional-order” SVEIR” epidemic model with a general nonlinear saturated incidence rate in a continuous reactor

M El Hajji, S Sayari - Asian Research J. Math, 2019 - researchgate.net
In this paper, I propose a fractional-order mathematical five-dimensional dynamical system
modeling a SVEIR model of infectious disease transmission in a chemostat. A profound …

[PDF][PDF] Stability and optimal control of a mathematical model of tuberculosis/AIDS co-infection with vaccination

LN Nkamba, TT Manga - J. Biol. Dyn, 2021 - researchgate.net
This paper focuses on the study and control of a non linear mathematical epidemic model
(SS vih VE LI) based on a system of ordinary differential equation modeling the spread of …

Dynamics of a SVEIR Epidemic Model with a Delay in Diagnosis in a Changing Environment

H Dicko, A Traoré, D Ouedraogo - Contemporary Mathematics, 2024 - ojs.wiserpub.com
A SVEIR epidemic model with a delay in diagnosis is studied in a constant and variable
environment. The mathematical analysis shows that the dynamics of the model in the …

Mathematical analysis of a seir model with nonlinear incidence rate for covid-19 dynamics

E Alhmadi - Asian Research Journal of Mathematics, 2022 - ebooks.pubstmlibrary.com
In this paper, an SEIR epidemic model with nonlinear incidence is considered. First, we
formulate the model and obtain its basic properties. Then, we find the equilibrium points of …