Formation of spatial patterns in an epidemic model with constant removal rate of theinfectives
Identifieur interne : 003A01 ( Main/Exploration ); précédent : 003A00; suivant : 003A02Formation of spatial patterns in an epidemic model with constant removal rate of theinfectives
Auteurs : Quan-Xing Liu [République populaire de Chine] ; Zhen Jin [République populaire de Chine, Niger]Source :
- Journal of Statistical Mechanics: Theory and Experiment [ 1742-5468 ] ; 2007.
English descriptors
- Teeft :
- Asymptotic patterns, Bifurcation, Bifurcation parameter, Bubonic plague, Characteristic equation, Constant removal rate, Contour pictures, Critical value, Eigenvalue, Epidemic model, Fourier modes, Growth rate, Gure, Gures, Infective individuals, Infectives, Initial state, Initial states, Iteration, Jacobian matrix, Labyrinthine patterns, Linear regime, Mech, Nite range, Nonlinear regime, Numerical simulations, Paper addresses, Parameter values, Parameters values, Pattern formation, Perturbation, Phys, Population dynamics, Positive equilibrium, Positive equilibrium point, Positive equilibrium points, Real number, Real parts, Spatial, Spatial epidemic model, Spatial model, Spatial patterns, Spatial spread, Spot patterns, Theoretical analysis, Time evolution, Turing, Turing instabilities, Turing instability, Turing mechanisms, Turing space, Unstable wavenumber.
Abstract
This paper addresses the question of how population diffusion affects the formation of thespatial patterns in the spatial epidemic model by Turing mechanisms. In particular, wepresent a theoretical analysis of results of the numerical simulations in two dimensions.Moreover, there is a critical value for the system within the linear regime. Below the criticalvalue the spatial patterns are impermanent, whereas above it stationary spot and stripepatterns can coexist over time. We have observed the striking formation of spatial patternsduring the evolution, but the isolated ordered spot patterns do not emerge in the space.
Url:
DOI: 10.1088/1742-5468/2007/05/P05002
Affiliations:
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Stat. 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In particular, wepresent a theoretical analysis of results of the numerical simulations in two dimensions.Moreover, there is a critical value for the system within the linear regime. Below the criticalvalue the spatial patterns are impermanent, whereas above it stationary spot and stripepatterns can coexist over time. We have observed the striking formation of spatial patternsduring the evolution, but the isolated ordered spot patterns do not emerge in the space.</div></front></TEI><affiliations><list><country><li>Niger</li><li>République populaire de Chine</li></country></list><tree><country name="République populaire de Chine"><noRegion><name sortKey="Liu, Quan Xing" sort="Liu, Quan Xing" uniqKey="Liu Q" first="Quan-Xing" last="Liu">Quan-Xing Liu</name></noRegion><name sortKey="Jin, Zhen" sort="Jin, Zhen" uniqKey="Jin Z" first="Zhen" last="Jin">Zhen Jin</name><name sortKey="Liu, Quan Xing" sort="Liu, Quan Xing" uniqKey="Liu Q" first="Quan-Xing" last="Liu">Quan-Xing Liu</name></country><country name="Niger"><noRegion><name sortKey="Jin, Zhen" sort="Jin, Zhen" uniqKey="Jin Z" first="Zhen" last="Jin">Zhen Jin</name></noRegion></country></tree></affiliations></record>Pour manipuler ce document sous Unix (Dilib)
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