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On treatmnet of tuberculosis in heterogeneous populations.

Journal of the Royal Society Interface. Directions of work or proceedings 1 document Isabelle Blanc. However there is little understanding as to why this occurs. International Building Performance Simulation Association, pp. In the absence of recurrent TB due to reinfection i. The paper by [ 18 ] that criticised Feng et al.

listes smia s1s3s5__ – Faculté des Sciences Aïn Chock

Our qnalyse model has some interesting insights with regard to these studies. Note that analyxe 18 has the same basic reproduction number as model 1.

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 ]. This is supported by the fact that majority of new TB cases about ninety percent are as a result of reinfection rather than endogenous reactivation [ 1319 — 21 ].


Backward bifurcation and hysteresis in models of recurrent tuberculosis

Mathematical Biosciences and Engineering. Lipsitch M, Murray MB. We know of no other epidemic analyde study reporting this feature. Effect of vaccines in a murine model of dormant tuberculosis.

The models developed by Gomes et al.

Theoretical assessment of public health impact of imperfect prophylactic HIV-1 vaccines with therapeutic benefits. Evaluation of the Environmental Accounting Methods for the assessment of global environmental impacts of traded goods and services 3. Moreover, the original study of [ 23 ], where the role of reinfection in inducing backward aanlyse was first identified, consisted of a single latent compartment.

Isabelle BLANC Professeur at MINES ParisTech, PSL Research University

Integrating life cycle costs and environmental impacts of composite rail car-bodies for a Korean train. However, Yang et al.

Journal of dynamics and differential equations. We also chose a single latent compartment naalyse two latent compartments fast and slow TB sma for the purpose of mathematical tractability. New spatiotemporally resolved LCI applied to photovoltaic electricity. Global sensitivity analysis as a support for the generation of simplified building stock energy models. The authors have declared that no competing interests exist.


First note that after inclusion of the assumptions made by Feng et al.

Proceedings World Geothermal Congresspp. Infectious diseases of humans. Vynnycky E, Fine P. Simulation tool with its expert interface for the thermal design of multizone buildings. It is possible to decouple the expression for R 0 to account for slow TB progression and fast primary progression. Beretta E, Breda D. Published online Mar Open Data and Industrial Ecological Management, p.

It is important to note that the system adopted by the World Health Organization in recording and reporting TB cases does not differentiate between true relapse i. Castillo-Chavez C, Song B.

Note that the blue solid line denote stable equilibria while dotted red line denote unstable equilibria. Journal of Mathematical Analysis and Applications. Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission.