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E1 variability assessment for onshore wind electricity based on Monte-Carlo simulations. Upon contact with an infective, a small proportion q of infected susceptible individuals follow the fast primary progression route i. Unlike other studies of TB dynamics that make use of frequency dependent transmission rates, our analysis provides exact backward bifurcation threshold conditions without resorting to commonly applied approximations and simplifying assumptions.

Tubercle and Lung Disease. Increasing recurrent TB increases TB prevalence.

listes smia s1s3s5__ – Faculté des Sciences Aïn Chock

In summary we report the following important implications that arise from our analysis. A plot of the critical value of R c as a function of the level of exogenous reinfection p.


That is, reducing R 0 below unity will be necessary but not sufficient in eradicating TB within the community. On the role of variable latent periods in mathematical models for tuberculosis. Shows the effect of recurrent TB on backward bifurcation due to incorporation of ana,yse pathways B and C.

Transmission and control of arbovirus diseases.

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

Control strategies for tuberculosis epidemics: Computational and mathematical methods in medicine. Dhillon J, Mitchison DA. Computation of basic reproduction number. Introduction In Mycobacterium tuberculosis was identified by Robert Koch [ 1 ] ahalyse the aetiological agent responsible for tuberculosis TB.

Epidemiology of tuberculosis, in Tuberculosis: We know of no other epidemic modelling study reporting this feature. The blue solid line represent stable equilibria while the dotted red line represent unstable equilibria.

In the analysis here, we make no such assumptions or simplifications and consider the total population to be varying in time. Environmental analysis of enhanced geothermal systems through life-cycle assessment and induced seismicity risk criteria. The disease is transmitted from one person to another in tiny microscopic droplets when a person with pulmonary TB expels bacteria into the air by either through coughing, sneezing, singing, laughing or other related activities that involve airborne pathways.

Isabelle BLANC Professeur at MINES ParisTech, PSL Research University

It is possible to decouple the expression for R 0 to account for slow TB progression and fast primary progression.


Risk of progression to active tuberculosis following reinfection with Mycobacterium tuberculosis. Towards a global criteria based framework for the sustainability assessment of bioethanol supply chains: Directions of work or proceedings 1 document Isabelle Blanc.

We also chose a single latent compartment over two latent compartments fast and slow TB progression for the purpose of mathematical tractability.

Semi-logarithmic scales are used to aid visualisation. Assessment of the environmental impacts in life cycle analysis. Note that the blue solid line denote stable equilibria while dotted red line denote unstable equilibria. Global atmospheric emissions for motorway infrastructures.

Backward bifurcations and multiple equilibria in epidemic models with structured immunity. Both Feng et al.

Presses des Mines, 88 p. Social networks Google Scholar ResearchGate. Isabelle Blanc, William A.

In Mycobacterium tuberculosis was identified by Robert Koch [ sia ] as the aetiological agent responsible for tuberculosis TB. The paper by [ 18 ] that criticised Feng et al.