Modelling the spread of sexually transmitted diseases on scale-free networks |
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| Authors: | Liu Mao-Xing and Ruan Jiong |
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| Affiliation: | School of Mathematical Sciences, Fudan
University,
Shanghai 200433, China; School of Mathematical Sciences, Fudan
University,
Shanghai 200433, China;Department of Mathematics, North University of China,
Taiyuan 030051, China |
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| Abstract: | In this paper a new model for the spread of sexually transmitted
diseases (STDs) is presented. The dynamic behaviors of the model on
a heterogenous scale-free (SF) network are considered, where the
absence of a threshold on the SF network is demonstrated, and the
stability of the disease-free equilibrium is obtained. Three
immunization strategies, uniform immunization, proportional
immunization and targeted immunization, are applied in this model.
Analytical and simulated results are given to show that the
proportional immunization strategy in the model is effective on SF
networks. |
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| Keywords: | epidemic modelling scale-free
networks immunization STDs spreading |
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