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Global stability analysis of a metapopulation SIS epidemic model
International audience -
Model reduction and closed-loop control of oscillator and noise-amplifier flows
This work deals with the closed-loop control of disturbances which develop linearly in laminar and incompressible flows. The control of both oscillator and amplifier... -
Feedback control for nonmonotone competition models in the chemostat
This paper deals with the problem of feedback control of competition between two species with one substrate in the chemostat with nonmonotone growth functions. Without... -
Stability Analysis of Cell Dynamics in Leukemia
International audience -
Global stability for SIR and SIRS models with differential mortality
We consider SIR and SIRS models with differential mortality. Global stability of equilibria is established by using Lyapunov's method. -
Competitive exclusion principle for SIS and SIR models with n strains
We consider SIS and SIR models with standard mass action and varying population, with $n$ different pathogen strains of an infectious disease. We also consider the... -
Qualitative analysis and traveling wave solutions for the SI model with verti...
International audience -
Global analysis of multi-strains SIS, SIR and MSIR epidemic models
International audience -
Study of epidemic models: stability, observation and parameter estimation
The purpose of this thesis is on the one hand to study stability of equilibria of some epidemic models and secondly to construct an observer to estimate the... -
Two models of interfering predators in impulsive biological control
International audience -
Convergence to equilibrium for positive solutions of some mutation-selection ...
In this paper we are interested in the long time behaviour of the positive solutions of the mutation selection model with Neumann Boundary condition: $$ \frac{\partial... -
Études de quelques modèles épidémiologiques : application à la transmission d...
The objective of this thesis is modelling the transmission of hepatitis B in Africa in general and, Senegal in particular. We propose new models based on the state of... -
Analysis of the dynamics of a class of models for vector-borne diseases with ...
In this work we study the dynamics of a vector borne disease on a metapopulation model that accounts for host circulation. For such models, the movement network... -
Linear stability, sensitivity, and passive control of turbulent flows using f...
The contribution of this Ph.D consists in a formalism and a methodology to perform linear stability analysis of turbulent flows. The flow dynamics is modelled using...
