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Abderrahman Iggidr

Researcher at University of Lorraine

Publications -  81
Citations -  1079

Abderrahman Iggidr is an academic researcher from University of Lorraine. The author has contributed to research in topics: Lyapunov function & Nonlinear system. The author has an hindex of 16, co-authored 80 publications receiving 925 citations. Previous affiliations of Abderrahman Iggidr include French Institute for Research in Computer Science and Automation & Centre national de la recherche scientifique.

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Epidemiological Models and Lyapunov Functions

TL;DR: A survey of results on global stability for deterministic compartmental epidemi- ological models using Lyapunov techniques is given in this article, where the authors also give a new result on differential susceptibility and infectivity models with mass action.
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Global Analysis of New Malaria Intrahost Models with a Competitive Exclusion Principle

TL;DR: This paper proposes a malaria within-host model with k classes of age for the parasitized red blood cells and n strains for the parasite and proves that this equilibrium is globally asymptotically stable on the positive orthant if a mild sufficient condition is satisfied.
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Global analysis of new malaria intrahost models with a competitive exclusion principle

TL;DR: In this article, a malaria within-host model with k classes of age for the parasitized red blood cells and n strains for the parasite is proposed and a global analysis for this model is provided.
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Global analysis of multi-strains SIS, SIR and MSIR epidemic models

TL;DR: In this paper, the authors considered SIS, SIR and MSIR models with standard mass action and varying population, with n different pathogen strains of an infectious disease, and proved that under generic conditions a competitive exclusion principle holds.
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On the dynamics of a class of multi-group models for vector-borne diseases ☆

TL;DR: This work studies the dynamics of a vector borne disease within a class of multi-group models that extends the classical Bailey–Dietz model, and shows that, if R 0 ≤ 1 , then the DFE equilibrium is globally asymptotically stable, while when R 0 > 1 , it is shown that the EE is global asymptonically stable.