(R1522) Modelling the Influence of Desertic Aerosols on the Transmission Dynamics of Neisseria Meningitidis Serogroup A

This paper assesses the role of desert aerosols and vaccine on the transmission dynamics of Neisseria Meningitis serogroup A (NmA). It is biologically well-documented that the inhalation of aerosol dust and its presence in the nasal cavity weakens the nasopharyngeal mucosa by damaging the mucosal barrier and inhibiting the mucosal immune defenses of susceptible and vaccinated individuals. We address the latter by proposing and analyzing a mathematical model for the dynamics of NmA that specifically accounts for the fast progression of susceptible and vaccinated individuals to the invasive stage of the disease. We compute the basic reproduction number and use it to investigate the existence and stability of equilibria. In this regard, we prove that the model undergoes a backward bifurcation phenomenon. We highlight the detrimental impact of aerosol dust by showing that its inhalation augments the reproduction number and enhances the endemic level of NmA.We also highlight the favorable role of vaccine in eliminating the disease when it has a high level of efficacy and is used to protect a large proportion of the population. The theoretical results are supported and illustrated by numerical simulations

Findings of an experimental study in a rabbit model on posterior capsule opacification after implantation of hydrophobic acrylic and hydrophilic acrylic intraocular lenses

Nikolaos Trakos1, Elli Ioachim2, Elena Tsanou2, Miltiadis Aspiotis1, Konstantinos Psilas1, Chris Kalogeropoulos11University Eye Clinic of Ioannina, Ioannina, Greece; 2Pathology Department, University of Ioannina, Ioannina, GreecePurpose: Study on cell growth on the posterior capsule after implantation of hydrophobic acrylic (Acrysof SA 60 AT) and hydrophilic acrylic (Akreos Disc) intraocular lenses (IOL) in a rabbit model and comparison of posterior capsule opacification (PCO).Methods: Phacoemulsification was performed in 22 rabbit eyes, and two different IOL types (Acrysof SA60 AT and Akreos Disc) were implanted. These IOLs had the same optic geometry (square edged) but different material and design. Central PCO (CPCO), peripheral PCO (PPCO), Sommering’s ring (SR) formation, type of growth, extension of PCO, cell type, inhibition, and fibrosis were evaluated three weeks after surgery. Histological sections of each globe were prepared to document the evaluation of PCO.Results: No statistically significant difference was observed between a hydrophobic acrylic IOL and a hydrophilic acrylic IOL in relation to the CPCO, PPCO, type of growth, extension, cell type, inhibition, and fibrosis. Statistically significant difference was observed in relation to the formation of SR with Acrysof SA 60 AT group presenting more SR than Akreos Disc group.Conclusion: PCO was not influenced by the material of the IOL or the design of the haptics of the IOLs we studied.Keywords: posterior capsule opacification, intraocular lenses, rabbit mode

Global stability analysis of a metapopulation SIS epidemic model

International audienceThe conjecture of Arino and van den Driessche (2003) that a SIS type model in a mover- stayer epidemic model is globally asymptotically stable is confirmed analytically. If the basic reproduction number R0 ≤ 1, then the disease free equilibrium is globally asymptotically sta- ble. If R0 > 1, then there exists a unique endemic equilibrium which is globally asymptotically stable on the nonnegative orthant minus the stable manifold of the disease free equilibrium

Metapopulation SIS epidemic model

International audienceWe consider a metapopulation model with $n$ patches. The migration model is with residents and travelers. The epidemic model is of SIS type. We confirm the conjecture of Arino and van den Driessche. We prove that if $\mathcal R_0 \leq 1$ then the disease free equilibrium is globally asymptotically stable. If $\mathcal R_0 >1$ we prove that there exists a unique endemic equilibrium which is globally asymptotically stable on the nonnegative orthant except the disease free equilibrium

Global stability of a two-patch cholera model with fast and slow transmissions

Please read abstract in the article.The Abdus Salam International Center for Theoretical Physics (ICTP) in Trieste-Italy under the Associateship Scheme, the African Center of Excellence in Information and Communication Technologies (CETIC) in Cameroon and the South African Research Chairs Initiative (SARChI Chair), in Mathematical Models and Methods in Bioengineering and Biosciences.http://www.elsevier.com/locate/matcomhj2021Mathematics and Applied Mathematic

Avian–human influenza epidemic model with diffusion, nonlocal delay and spatial homogeneous environment

In this paper, an avian–human influenza epidemic model with diffusion, nonlocal delay and spatial homogeneous environment is investigated. This model describes the transmission of avian influenza among poultry, humans and environment. The behavior of positive solutions to a reaction–diffusion system with homogeneous Neumann boundary conditions is investigated. By means of linearization method and spectral analysis the local asymptotical stability is established. The global asymptotical stability for the poultry sub-system is studied by spectral analysis and by using a Lyapunov functional. For the full system, the global stability of the disease-free equilibrium is studied using the comparison Theorem for parabolic equations. Our result shows that the disease-free equilibrium is globally asymptotically stable, whenever the contact rate for the susceptible poultry is small. This suggests that the best policy to prevent the occurrence of an epidemic is not only to exterminate the asymptomatic poultry but also to reduce the contact rate between susceptible humans and the poultry environment. Numerical simulations are presented to illustrate the main results.http://www.elsevier.com/locate/nonrwahj2023Mathematics and Applied Mathematic

Assessing the impact of the environmental contamination on the transmission of Ebola virus disease (EVD)

Please read abstract in the article.The first (T.B.) and the third (J.L.) authors are grateful to the South African Research Chairs Initiative (SARChI Chair), in Mathematical Models and Methods in Bioengineering and Biosciences. The first (T.B.) and the second (S.B.) authors acknowledge the support of Center of Excellence Cameroon (CETIC).https://link.springer.com/journal/121902018-10-01hj2018Mathematics and Applied Mathematic