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dc.contributor.authorJuang, Jonqen_US
dc.contributor.authorLiang, Yu-Haoen_US
dc.date.accessioned2015-12-02T02:59:15Z-
dc.date.available2015-12-02T02:59:15Z-
dc.date.issued2015-11-01en_US
dc.identifier.issn0378-4371en_US
dc.identifier.urihttp://dx.doi.org/10.1016/j.physa.2015.06.006en_US
dc.identifier.urihttp://hdl.handle.net/11536/127969-
dc.description.abstractA general SIS model with infective vectors on complex networks is studied in this paper. In particular, the model considers the linear combination of three possible routes of disease propagation between infected and susceptible individuals as well as two possible transmission types which describe how the susceptible vectors attack the infected individuals. A new technique based on the basic reproduction matrix is introduced to obtain the following results. First, necessary and sufficient conditions are obtained for the global stability of the model through a unified approach. As a result, we are able to produce the exact basic reproduction number and the precise epidemic thresholds with respect to three spreading strengths, the curing strength or the immunization strength all at once. Second, the monotonicity of the basic reproduction number and the above mentioned epidemic thresholds with respect to all other parameters can be rigorously characterized. Finally, we are able to compare the effectiveness of various immunization strategies under the assumption that the number of persons getting vaccinated is the same for all strategies. In particular, we prove that in the scale-free networks, both targeted and acquaintance immunizations are more effective than uniform and active immunizations and that active immunization is the least effective strategy among those four. We are also able to determine how the vaccine should be used at minimum to control the outbreak of the disease. (C) 2015 Elsevier ay. All rights reserved.en_US
dc.language.isoen_USen_US
dc.subjectEpidemic thresholdsen_US
dc.subjectInfective vectorsen_US
dc.subjectComplex networksen_US
dc.subjectBasic reproduction matrixen_US
dc.titleAnalysis of a general SIS model with infective vectors on the complex networksen_US
dc.typeArticleen_US
dc.identifier.doi10.1016/j.physa.2015.06.006en_US
dc.identifier.journalPHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONSen_US
dc.citation.volume437en_US
dc.citation.spage382en_US
dc.citation.epage395en_US
dc.contributor.department應用數學系zh_TW
dc.contributor.departmentDepartment of Applied Mathematicsen_US
dc.identifier.wosnumberWOS:000359029500031en_US
dc.citation.woscount0en_US
Appears in Collections:Articles