Stochastic spatial structured model for vertically and horizontally transmitted infection

Ana T.C. Silva, Vladimir R.V. Assis, Suani T.R. Pinho, Tânia Tomé and Mário J. de Oliveira

Physica A: Statistical Mechanics and its Applications, 2017, vol. 468, issue C, 131-138

Abstract: We study a space structured stochastic model for vertical and horizontal transmitted infection. By means of simple and pair mean-field approximation as well as Monte Carlo simulations, we construct the phase diagram, which displays four states: healthy (H), infected (I), extinct (E), and coexistent (C). In state H only healthy hosts are present, whereas in state I only infected hosts are present. The state E is characterized by the extinction of the hosts whereas in state C there is a coexistence of infected and healthy hosts. In addition to the usual scenario with continuous transition between the I, C and H phases, we found a different scenario with the suppression of the C phase and a discontinuous phase transition between I and H phases.

Keywords: Stochastic lattice model; Model for spreading of disease; Model for vertical and horizontal transmitted infection (search for similar items in EconPapers)
Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:468:y:2017:i:c:p:131-138

DOI: 10.1016/j.physa.2016.10.048

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