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Epidemic thresholds in a heterogenous population with competing strains |
Wu Qing-Chu(吴庆初)a)b)†, Fu Xin-Chu(傅新楚)a), and Yang Meng(杨孟)a) |
a Department of Mathematics, Shanghai University, Shanghai 200444, China; b College of Mathematics and Information Science, Jiangxi Normal University, Nanchang 330022, China |
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Abstract Among many epidemic models, one epidemic disease may transmit with the existence of other pathogens or other strains from the same pathogen. In this paper, we consider the case where all of the strains obey the susceptible-infected-susceptible mechanism and compete with each other at the expense of common susceptible individuals. By using the heterogenous mean-field approach, we discuss the epidemic threshold for one of two strains. We confirm the existence of epidemic threshold in both finite and infinite populations subject to underlying epidemic transmission. Simulations in the Barabasi-Albert (BA) scale-free networks are in good agreement with the analytical results.
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Received: 23 June 2010
Revised: 04 August 2010
Accepted manuscript online:
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PACS:
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64.60.aq
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(Networks)
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64.60.De
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(Statistical mechanics of model systems (Ising model, Potts model, field-theory models, Monte Carlo techniques, etc.))
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87.10.Ed
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(Ordinary differential equations (ODE), partial differential equations (PDE), integrodifferential models)
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Fund: Project supported by the National Natural Science Foundation of China (Grant No. 11072136) and the Shanghai Leading Academic Discipline Project, China (Grant No. S30104). |
Cite this article:
Wu Qing-Chu(吴庆初), Fu Xin-Chu(傅新楚), and Yang Meng(杨孟) Epidemic thresholds in a heterogenous population with competing strains 2011 Chin. Phys. B 20 046401
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