CRITICAL BEHAVIOR OF AN EPIDEMIC MODEL OF DRUG RESISTANT DISEASES

C. R. Da Silva, U. L. Fulco, M. L. Lyra and G. M. Viswanathan
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C. R. Da Silva: Departamento de Física, Universidade Federal de Alagoas, Maceió–AL, 57072-970, Brazil
U. L. Fulco: Departamento de Física, Universidade Federal do Piaui, 64049-550, Teresina-PI, Brazil
M. L. Lyra: Departamento de Física, Universidade Federal de Alagoas, Maceió–AL, 57072-970, Brazil
G. M. Viswanathan: Departamento de Física, Universidade Federal de Alagoas, Maceió–AL, 57072-970, Brazil

International Journal of Modern Physics C (IJMPC), 2004, vol. 15, issue 09, 1279-1290

Abstract: In this work, we study the critical behavior of an epidemic propagation model that considers individuals that can develop drug resistance. In our lattice model, each site can be found in one of the four states: empty, healthy, normally infected (not drug resistant) and strain infected (drug resistant) states. The most relevant parameters in our model are related to the mortality, cure and mutation rates. This model presents two distinct stationary active phases: a phase with co-existing normal and drug resistant infected individuals, and an intermediate active phase with only drug resistant individuals. We employed a finite-size scaling analysis to compute the critical points and the critical exponents, β/ν and 1/ν, governing the phase transitions between these active states and the absorbing inactive state. Our results are consistent with the hypothesis that these transitions belong to the directed percolation universality class.

Keywords: Nonequilibrium phase transitions; directed percolation; population dynamics (search for similar items in EconPapers)
Date: 2004
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DOI: 10.1142/S0129183104006704

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