Title :
Stochastic Approach in Modelling Epidemic Spread
Author :
Mintsa, J. ; Rachdi, M. ; Demongeot, J.
Author_Institution :
Lab. AGIM, Univ. J. Fourier of Grenoble, La Tronche, France
Abstract :
The classical approach in epidemics modelling accounts for the deterministic aspects of the epidemic spread without considering the variability in the transmission of the infectious diseases. Then we propose in this paper, after improving these models by introducing a slow demographic component, to define demographic and epidemic random variables and parameters in order to take into account fluctuations in the meeting process giving birth to the contagion.
Keywords :
diseases; stochastic processes; contagion; demographic component; epidemic modelling; epidemic random variables; epidemic spread; infectious diseases; stochastic approach; Biology; Diseases; Mathematical model; Polynomials; Stationary state; Stochastic processes; epidemic spread; reaction-diffusion; stochastic contagion;
Conference_Titel :
Advanced Information Networking and Applications (WAINA), 2011 IEEE Workshops of International Conference on
Conference_Location :
Biopolis
Print_ISBN :
978-1-61284-829-7
Electronic_ISBN :
978-0-7695-4338-3
DOI :
10.1109/WAINA.2011.153
