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1. Mathematical Analysis and Pattern Formation for a Partial Immune System Modeling the Spread of an Epidemic Disease.

Author

Bendahmane, Mostafa and Saad, Mazen

Subjects
*PATTERN formation (Biology), *NUMERICAL analysis, *IMMUNE system, *EPIDEMICS, *MATHEMATICAL models, *PATHOGENIC microorganisms, *COMPUTER simulation, *BOUNDARY value problems
Abstract

Our motivation is a mathematical model describing the spatial propagation of an epidemic disease through a population. In this model, the pathogen diversity is structured into two clusters and then the population is divided into eight classes which permits to distinguish between the infected/uninfected population with respect to clusters. In this paper, we prove the weak and the global existence results of the solutions for the considered reaction-diffusion system with Neumann boundary. Next, mathematical Turing formulation and numerical simulations are introduced to show the pattern formation for such systems. [ABSTRACT FROM AUTHOR]

Published
2011
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