Un ensemble des resources pédagogiques (cours, exercices, TD, TP, contrôles ), à votre disposition SIGMA Work Team. UNIVERSITE HASSAN II DE CASABLANCA. FACULTE DES SCIENCES. AIN CHOCK. ANNEE UNIVERSITAIRE: / SEMESTRE: S1. FILIERE: SMIA . Journal of Industrial Ecology, Wiley, , Issue Supplement s1, p. globale des infrastructures autoroutières – Contribution à l’analyse du cycle de vie. .. with Innovation Fair, Sustainable management in action, SMIA 05, Sep , Genève .
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The model includes three different pathways for exogenous reinfection as shown in Fig While this excludes the realistic possibility of immigration of infectives either latent individuals or individuals with active TBit helps untangle the conditions that result in backward bifurcation. We are interested in the point where the bifurcation changes from forward to backward.
An overall assessment of life cycle inventory quality – Application to the production of polyethylene bottles. This article has been cited by other articles in PMC. FuturiblesAssociation Futuribles,pp. Sustainable DevelopmentWiley-Blackwell,16 4pp.
Drebszok, Artur Wyrwa, Isabelle Blanc. Journal of dynamics smix differential equations. It is interesting to compare the critical point p c for the reinfection threshold given in Eq 13 with that found by Feng et al. Coupled cost and life cycle modelling of composite car-bodies for the Korean tilting train express project. This leads to an unusual phenomenon of forward bifurcation with hysteresis, which can be triggered wnalyse our TB model when reinfection is taken into account.
Infected individuals who recover from the disease then move to the anlayse class. Backward bifurcation is likely to occur in this scenario, since reinfection will be greater than endogenous reactivation i.
Computational and mathematical methods in medicine. Semi-logarithmic scales are used to aid visualisation. The paper by [ 18 ] that criticised Feng et al. For this purpose we develop a TB model that includes fast primary progression and possible reinfection pathways. A model for tuberculosis with exogenous reinfection. Swiss bioethanol supply inWhat are the sustainability stakes of anaylse scenarios for Switzerland?.
Backward bifurcation in epidemic control. Note that subsystem 18 has the same basic reproduction number as model 1. Evaluation of the Environmental Accounting Methods for the assessment of global environmental impacts of traded goods and services 3.
A first application to photovoltaic systems. Extraordinarily, TB is a treatable disease and can be prevented and cured through the use of prophylaxis and therapeutics for individuals with latent and clinically active TB respectively.
We are particularly interested in recurrent TB, which is defined as the emergence of a second episode of TB after the first episode has been successfully cured [ 9 ]. Fate and exposure to organic compounds emitted indoors. Isabelle Blanc, Camille Marini. Journal of Industrial EcologyWiley,21 5pp.
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The model assumes a frequency dependent incidence rate. Evaluation of Environmental Accounting Methodologies for the assessment of global environmental impacts of traded goods and services.
Frontiers of Research in Industrial Ecology, Workshop 6: Our main goal is to determine conditions that lead to the appearance of a backward bifurcation. The intrinsic transmission dynamics of tuberculosis epidemics. However, neither group examined how recurrent TB reinfection pathways could lead to a backward bifurcation. After some algebraic manipulation we find the required backward bifurcation reinfection threshold is given by Eq Since our goal is to investigate how recurrent TB reinfection of recovered individuals can impact the backward bifurcation phenomenon found by Feng et al.
The associated backward bifurcation for the model without the reinfection pathways A and B i.
Backward bifurcation and hysteresis in models of recurrent tuberculosis
The case of Tuberculosis. Model of recurrent tuberculosis Although, there are numerous TB models that have attempted to include the recurrent TB pathway for instance see [ 22 — 27 ]none have explored its role in the formation of backward bifurcation.
Illustrates backward bifurcation when recurrent TB parameters are included. Raising the intensity of recurrent TB:. In future work, it would be interesting to additionally consider the possibility that some infected individuals who are treated do not become completely smja.