Stochastic approach in modelling epidemic spread

Proceedings - 25th IEEE International Conference on Advanced Information Networking and Applications Workshops, WAINA 2011

Volumn , Issue , 2011, Pages 478-482

  Mintsa, J ^a,b   Rachdi, M ^a,b   Demongeot, J ^a,b  

^a UNIV GRENOBLE ALPES   (France)

^b LABORATOIRE TIMC IMAG   (France)

Author keywords

epidemic spread; reaction diffusion; stochastic contagion

Indexed keywords

CLASSICAL APPROACH; EPIDEMIC SPREAD; EPIDEMICS MODELLING; INFECTIOUS DISEASE; REACTION-DIFFUSION; STOCHASTIC APPROACH; STOCHASTIC CONTAGION;

POPULATION STATISTICS; RANDOM VARIABLES; STOCHASTIC SYSTEMS;

EPIDEMIOLOGY;

EID: 79957538835     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/WAINA.2011.153     Document Type: Conference Paper

References (17)

1. A.N. Kolmogorov, I.G. Petrovsky, and N.S. Piskunov, "Etude de l'équation de la diffusion avec croissance de la quantité de matière et son application à un problème biologique," Bulletin Université d'Etat à Moscou Série Internationale A, Vol. 1, pp. 1-26, 1937.
2. A.M. Turing, "The Chemical Basis of Morphogenesis," Philosophical Transactions of the Royal Society of London B, Vol. 237, pp. 37-72, 1952.
3. J.D. Murray, Mathematical Biology, Springer-Verlag, Berlin, 1983.
4. J. Gaudart, M. Ghassani, J. Mintsa, J. Waku, M. Rachdi, O.K. Doumbo, and J. Demongeot "Demographic and spatial factors as causes of an epidemic spread, the copula approach. Application to the retroprediction of the Black Death epidemic of 1346," in: IEEE AINA' 10 & BLSMC' 10, IEEE Press, Piscataway, 2010, pp. 751-758.
5. J. Gaudart, M. Ghassani, J. Mintsa, M. Rachdi, J. Waku, and J. Demongeot, "Demography and Diffusion in epidemics: Malaria and Black Death spread," Acta Biotheoretica, Vol. 58, pp. 277-305, 2010.
6. J. Demongeot, J. Gaudart, J. Mintsa, and M. Rachdi, "Demography in epidemics modelling," Communications Pure & Appl. Analysis (accepted).
7. J. Demongeot, J. Gaudart, A. Lontos, E. Promayon, J. Mintsa, and M. Rachdi "Least diffusion zones in morphogenesis and epidemiology," Int. J. Bifurcation and Chaos (accepted).
8. J.H.E. Cartwright, "Labyrinthine Turing Pattern Formation in the Cerebral Cortex," J. Theor. Biol., Vol. 217, pp. 97-103, 2002.
9. L. Forest, N. Glade, and J. Demongeot, "Liénard systems and potential- Hamiltonian decomposition. Applications," C. R. Acad. Sci. Biologies, Vol. 330, pp. 97-106, 2007.
10. J. Demongeot, N. Glade, and L. Forest, "Liénard systems and potential- Hamiltonian decomposition. I Methodology", Comptes Rendus Mathématique, Vol. 344pp. , 121-126, 2007.
11. J. Demongeot, N. Glade, and L. Forest, "Liénard systems and potential- Hamiltonian decomposition. II Algorithm," Comptes Rendus Mathématique, Vol. 344, pp. 191-194, 2007.
12. N. Glade, L. Forest, and J. Demongeot, "Liénard systems and potential- Hamiltonian decomposition. III Applications in biology," Comptes Rendus Mathématique, Vol. 344, pp. 253-258, 2007.
13. K. Burrage, P. Burrage, and T. Mitsui, "Numerical solutions of stochastic differential equations - implementation and stability issues," J. Computational and Applied Maths, Vol. 125, pp. 171-182, 2000.
14. G.Q. Sun, Z. Jin, Q.X. Liu, and L. Li, "Emergence of Strange Spatial Pattern in a Spatial Epidemic Model," Chin. Phys. Lett., Vol. 25, pp. 2296-2299, 2008.
15. L. Li, Z. Jin and G.Q. Sun, "Spatial Pattern of an Epidemic Model with Cross-diffusion," Chin. Phys. Lett., Vol. 25, pp. 3500-3503, 2008.
16. J. Gaudart, R. Giorgi, B. Poudiougou, S. Ranque, O. Doumbo, and J. Demongeot, "Spatial cluster detection: principle and application of different general methods," Rev. Epid. Santé Pub., Vol. 55, pp. 297-306, 2007.
17. J. Gaudart, O. Touré, N. Dessay, A.L. Dicko, S. Ranque, L. Forest, J. Demongeot, and O.K. Doumbo, "Modelling malaria incidence with environmental dependency in a locality of Sudanese savannah area, Mali," Malaria J., Vol. 8, 61, 2009.