A deterministic model of schistosomiasis with spatial structure, Mathematical biosciences and engineering, vol.5, pp.505-522, 2008. ,
Biological control of the snail hosts of schistosomiasis in areas of low transmission: the example of the Caribbean area, Acta Tropica, vol.77, issue.1, pp.53-60, 2000. ,
DOI : 10.1016/S0001-706X(00)00123-6
The dynamics of helminth infection, with special reference to schistoso- miasis, Trans. R. Soc. Trop. Med. Hyg, pp.59-489, 1965. ,
Mathematical Models of Schistosomiasis, Annual Review of Ecology and Systematics, vol.8, issue.1, pp.209-233, 1977. ,
DOI : 10.1146/annurev.es.08.110177.001233
Mathematical modelling and control of Schistosomiasis in Hubei Province, China, Acta Tropica, vol.115, issue.1-2 ,
DOI : 10.1016/j.actatropica.2010.02.012
On the application of mathematical models of schistosome transmission dynamics. I. Natural transmission, Acta Tropica, vol.49, issue.4, pp.241-270 ,
DOI : 10.1016/0001-706X(91)90077-W
Modelling and simulation of a schistosomiasis infection with biological control, Acta Tropica, vol.87, issue.2, pp.251-267, 2003. ,
DOI : 10.1016/S0001-706X(03)00065-2
The Mathematics of Infectious Diseases, SIAM Review, vol.42, issue.4, pp.599-653 ,
DOI : 10.1137/S0036144500371907
Helminth Infections of Humans: Mathematical Models, Population Dynamics, and Control, Advances in Parasitology, pp.1-101 ,
DOI : 10.1016/S0065-308X(08)60561-8
A mathematical model of the transmission dynamics of schistosomiasis, J. Nigerian Math. Soc, vol.1617, pp.39-63, 1997. ,
Mathematical models for schistosomiasis with delays and multiple definite hosts, Mathematical Approaches for Emerging and Reemerging Infectious Diseases: Models, Methods , and Theory, pp.215-229, 2002. ,
Stability Analysis of Nonlinear Systems, 1989. ,
DOI : 10.1007/978-3-319-27200-9
Decomposition techniques for large-scale systems with nonadditive interactions: Stability and stabilizability, IEEE Transactions on Automatic Control, vol.25, issue.4, p.773, 1980. ,
DOI : 10.1109/TAC.1980.1102422
Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission, Mathematical Biosciences, vol.180, issue.1-2, pp.29-48 ,
DOI : 10.1016/S0025-5564(02)00108-6
On the definition and the computation of the basic reproduction ratio R 0 in models for infectious diseases in heterogeneous populations, Journal of Mathematical Biology, vol.28, issue.4, pp.365-382 ,
DOI : 10.1007/BF00178324
On the Computation of R 0 and its Role on Global Stability, Theoretical And Applied Mechanics, vol.5, pp.1-22, 2002. ,
DOI : 10.1007/978-1-4757-3667-0_13
Nonnegative matrices in the mathematical sciences, Classics in Applied Mathematics Society for Industrial and Applied Mathematics (SIAM), vol.9, p.340, 1994. ,
DOI : 10.1137/1.9781611971262
Qualitative Theory of Compartmental Systems, SIAM Review, vol.35, issue.1, p.43, 1993. ,
DOI : 10.1137/1035003
Mathematical models in population biology and epidemiology, Texts in Applied Mathematics Series, 2001. ,
The mathematics of infectious diseases, SIAM Rev, pp.599-653, 2000. ,
The stability of Dynamical Systems, Mathematical Regional Conference Series in Applied Mathematics, 1976. ,
Stability analysis for differential infectivity epidemic models, Non-linear Anal.: real world appl, pp.841-856, 2003. ,
Applications of Centre Manifold Theory ,
DOI : 10.1007/978-1-4612-5929-9
Dynamical Models of Tuberculosis and Their Applications, Mathematical Biosciences and Engineering, vol.1, issue.2, pp.361-404 ,
DOI : 10.3934/mbe.2004.1.361
A mathematical model for assessing control strategies against West Nile virus, Bulletin of Mathematical Biology, vol.67, issue.5, pp.1107-1133 ,
DOI : 10.1016/j.bulm.2005.01.002
Nonlinear Differential Equations and Dynamical Systems, 1990. ,
Systems of Ordinary Differential Equations Which Generate an Order Preserving Flow. A Survey of Results, SIAM Review, vol.30, issue.1, 1988. ,
DOI : 10.1137/1030003
Stability and convergence in strongly monotone dynamical systems, J. Reine Angew. Math, vol.383, 1988. ,
Stability of the endemic equilibrium in epidemic models with subpopulations, Mathematical Biosciences, vol.75, issue.2, pp.205-277, 1985. ,
DOI : 10.1016/0025-5564(85)90038-0
Global Stability of schistosomiasis infection with spatial structure, in progress, Inria RESEARCH CENTRE NANCY ? GRAND EST 615 rue du Jardin Botanique CS20101 54603 Villers-lès-Nancy Cedex Publisher Inria Domaine de Voluceau -Rocquencourt BP 105 -78153 Le Chesnay Cedex inria.fr ISSN, pp.249-6399 ,