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Effect of noise on the pattern formation in an epidemic model
Author(s) -
Sun GuiQuan,
Li Li,
Jin Zhen,
Li BaiLian
Publication year - 2010
Publication title -
numerical methods for partial differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.901
H-Index - 61
eISSN - 1098-2426
pISSN - 0749-159X
DOI - 10.1002/num.20483
Subject(s) - noise (video) , intensity (physics) , mathematics , pattern formation , range (aeronautics) , series (stratigraphy) , statistical physics , computer science , physics , artificial intelligence , optics , image (mathematics) , biology , engineering , paleontology , genetics , aerospace engineering
We present novel numerical evidence of complicated phenomenon controlled by noise in a spatial epidemic model. The number of the spot is decreased as the noise intensity being increased, which we show by performing a series of numerical simulations. Moreover, when the noise intensity and temporal correlation are both large enough, the model dynamics exhibits a noise controlled transition from spotted pattern to stripe growth. In addition to that, we show in details the number of the spotted and stripe pattern, with the identification of a wide range of noise intensity and temporal correlation. The obtained results show that noise plays an important role in the pattern formation of the epidemic model, which may provide guidance to prevent and control the spread of disease. © 2009 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 2010