ANALYSE SMIA S1 PDF

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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This greatly affects the collection w1 analysis of data making it even more difficult to assess the specific role of reinfection. Van den Driessche P, Watmough J.

Simplified life cycle approach: Enhanced Structure Path Analysis: Castillo-Chavez C, Song B. Patients with previously treated tuberculosis no longer neglected. In summary we report the following important implications that arise from our analysis.

Backward bifurcation and hysteresis in models of recurrent tuberculosis

In addition, recurrent TB can anaoyse forward bifurcation with hysteresis, rather than just the usual forward bifurcation. Note that the blue solid line denote stable equilibria while dotted red line denote unstable equilibria. Ecological IndicatorsElsevier,11 5pp. Exogenous refers to a disease episode that results from recent exposure to some external infectious source typically, contact with an infectious person.

More formally we have the following lemma:.

In future work, it would be interesting to additionally consider the possibility that some infected individuals who are treated do not become completely cured. While this possibility is of importance, it falls outside the main scope of the present article, and would lead to a model that is very difficult to analyse mathematically.

Application to the Swiss dilemma: TB is unusual in that it can arise via both exogenous and endogenous infection. On treatmnet of tuberculosis in heterogeneous populations. Schematic diagram of the main processes involved in TB infection according to model Eq 1. Effect of vaccines in a murine model of dormant tuberculosis. The models of Feng et al. Our model assumes all immigrants are susceptible. As such, Lipsitch and Murray [ 18 ] argued that backward bifurcations should not be expected in the real world.

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Shows the effect of recurrent TB on backward bifurcation due to incorporation of reinfection pathways B and C. Environmental assessment of electricity scenarios with Life Cycle Assessment.

Bruno Peuportier, Isabelle Blanc.

CV HAL : Isabelle BLANC Professeur at MINES ParisTech, PSL Research University

Descartes rule of signs. Global sensitivity analysis in LCA analysd emerging technologies: It is interesting to compare this result to the Lipsitch and Murray [ 18 ] threshold P L discussed above. Backward bifurcations have major implications for infectious diseases such as TB, since control programs based on reducing R 0 below unity may be ineffective given the disease might be able to easily persist indefinitely under such conditions.

Social networks Google Scholar ResearchGate. Book sections analys documents Isabelle Blanc, Anne Ventura. A model for tuberculosis with exogenous reinfection.

Backward bifurcation and hysteresis in models of recurrent tuberculosis

PDF Click here for additional data file. Parameters used are the same but p c is altered, i. Received Jun 27; Accepted Feb How host heterogeneity governs tuberculosis reinfection? American journal of respiratory and critical care medicine.

D1 number of models incorporating long and variable rate of progression have been constructed and analysed for instance see [ 233738 ].

Shortly we will apply center manifold to examine stability and confirm coexistence of these three equilibria see S2 Appendix. Life cycle assessment of prospective energy scenarios for in an insular context: Raising the intensity of recurrent TB: A simplified model for the estimation of life-cycle greenhouse gas emissions of enhanced geothermal systems. It is important to note that although previous TB models have attempted to incorporate recurrent TB pathways they do not investigate whether recurrent TB alone can trigger bi-stability, but rather smmia on backward bifurcation caused by exogenous reinfection of anzlyse individuals i.

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Journal of the Royal Society Interface.

Characteristically, when R 0 is below unity, the introduction of a few infected individuals in a susceptible population will only lead to disease die-out, as the disease is unable to reproduce itself or transmit through the population effectively. Contribution of life cycle assessment: Science of the Total EnvironmentElsevier, pp. Despite all attempts to control its spread by modern medical science, TB has become one of the most widespread and serious of all infectious diseases today [ 2 ].

Amongst all infectious diseases, TB is one of the leading causes of death worldwide, and second only to human immunodeficiency virus HIV [ 34 ].

However, if R 0 is increased slightly above unity then model Eq 1 has one positive endemic equilibrium point. Solar EnergyElsevier,57 3pp. Assessing the effects of multiple infections and long latency in the dynamics of tuberculosis. The Development of Geothermal Resources. In fact even just for the simplified reinfection pathways of the original Feng et al.

Journal of Industrial EcologyWiley,21 5pp. Lipsitch and Murray [ 18 ] argued that backward bifurcation should not occur when taking into account biologically realistic parameter values.