Role of differential susceptibility and infectiousness on the dynamics of an SIRS model for Malaria transmission

M Safan, D Bichara, KE Yong, A Alharthi… - Symmetry, 2023 - mdpi.com
A deterministic model for the transmission dynamics of SIRS-type malaria in hosts and SI in
mosquito populations is proposed. The host population is differentiated between naive …

[HTML][HTML] Backward bifurcation analysis of epidemiological model with partial immunity

R Anguelov, SM Garba, S Usaini - Computers & Mathematics with …, 2014 - Elsevier
This paper presents a two stage SIS epidemiological model in animal population with
bovine tuberculosis (BTB) in African buffalo as a guiding example. The proposed model is …

Vaccination based control of infections in SIRS models with reinfection: special reference to pertussis

M Safan, M Kretzschmar, KP Hadeler - Journal of mathematical biology, 2013 - Springer
The aim of this paper is to study the impact of introducing a partially protective vaccine on
the dynamics of infection in SIRS models where primary and secondary infections are …

Controllability of Infections in SIR Models with Waned Childhood Vaccination-Induced Immunity and Booster Vaccination

M Safan - Letters in Biomathematics, 2021 - lettersinbiomath.org
The aim of this paper is to study the controllability of infections represented by SIR endemic
models with interventions based on vaccination and the impact of disease-induced …

[HTML][HTML] Modeling the diet dynamics of children: the roles of socialization and the school environment

M Safan, AL Murillo, D Wadhera… - Letters in …, 2018 - ncbi.nlm.nih.gov
Childhood obesity is a health emergency in many parts of the world including the US and,
consequently, identifying local, regional or national intervention models capable, of altering …

Mathematical Analysis of an SIVRWS Model for Pertussis with Waning and Naturally Boosted Immunity

M Safan, K Barley, MM Elhaddad, MA Darwish… - Symmetry, 2022 - mdpi.com
This work aims mainly to study the controllability of pertussis infection in the presence of
waning and natural booster of pertussis immunity and to study their impact on the overall …

A simple mathematical model for Guillain–Barré syndrome

MF Elettreby, E Ahmed, M Safan - Advances in Difference Equations, 2019 - Springer
In this paper, four different forms of a model to describe the dynamics of autoimmune
diseases (with emphasis on Guillain–Barré syndrome) are proposed. In the first two cases …

[HTML][HTML] Mathematical analysis of an SIR respiratory infection model with sex and gender disparity: special reference to influenza A

M Safan - Mathematical Biosciences and Engineering, 2019 - aimspress.com
The aim of this work is to study the impact of sex and gender disparity on the overall
dynamics of influenza A virus infection and to explore the direct and indirect effect of …

[HTML][HTML] An SIS sex-structured influenza A model with positive case fatality in an open population with varying size

M Safan, B Humadi - Mathematical Biosciences and Engineering, 2024 - aimspress.com
This work aims to study the role of sex disparities on the overall outcome of influenza A
disease. Therefore, the classical Susceptible-Infected-Susceptible (SIS) endemic model was …

Impact of reduction in contact time activity of infected individuals on the dynamics and control of directly transmitted respiratory infections in SIR models

M Safan - Advances in Difference Equations, 2020 - Springer
This paper aims to study the impact of using an educational strategy on reducing the efforts
needed to control respiratory transmitted infections represented by SIR models, taking into …