Journal
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS
Volume 13, Issue 2, Pages 543-557Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.nonrwa.2011.07.033
Keywords
Basic reproduction number; Infective vector; Complex networks; Globally asymptotically stable
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Funding
- National Natural Science Foundation of China [70871072, 10901145, 90924011]
- International and Technical Cooperation Project of Shan'xi province [11005001, 2010081005]
- Program for basic research of Shan'xi province [2010011007]
- Scientific research item for the Returned Overseas Chinese Scholars of Shan'xi province
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In this paper, a modified SIS model with an infective vector on complex networks is proposed and analyzed, which incorporates some infectious diseases that are not only transmitted by a vector, but also spread by direct contacts between human beings. We treat direct human contacts as a social network and assume spatially homogeneous mixing between vector and human populations. By mathematical analysis, we obtain the basic reproduction number R-0 and study the effects of various immunization schemes. For the network model, we prove that if R-0 < 1, the disease-free equilibrium is globally asymptotically stable, otherwise there exists an unique endemic equilibrium such that it is globally attractive. Our theoretical results are confirmed by numerical simulations and suggest a promising way for the control of infectious diseases. (C) 2011 Published by Elsevier Ltd
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