Blyuss, Konstantin (2005) On a model of spatial spread of epidemics with long-distance travel. Physics Letters A, 345 (1-3). pp. 129-136. ISSN 0375-9601

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Abstract

This Letter studies the dynamics of infectious diseases which are spread geographically through long-distance travel between two regions and subsequent local redistribution through a process of diffusion. A particular case of an equiproportionate travel is considered, and the model describes migration rather than short visits. We examine uniform and nonuniform steady states together with their linear stability. Numerical simulations are performed to illustrate the evolution of initial distribution of population towards its final stage, which is represented by uniform distribution of the total population among infected individuals.

Item Type:	Article
Schools and Departments:	School of Mathematical and Physical Sciences > Mathematics
Depositing User:	Konstantin Blyuss
Date Deposited:	06 Feb 2012 19:18
Last Modified:	15 May 2012 14:50
URI:	http://sro.sussex.ac.uk/id/eprint/20029

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