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Get Free AccessIn this paper, a new epidemic SIS model with nonlinear infectivity, as well as birth and death of nodes and edges, is investigated on heterogeneous networks. The global behavior of the model is studied mathematically. When the basic reproductive number is less than or equal to unity, it is verified that the disease dies out; otherwise, the model solutions lead to positive steady states. This paper provides a concise mathematical analysis to verify the global dynamics of the model.
Guanghu Zhu, Xinchu Fu, Guanrong Chen (2011). Global attractivity of a network-based epidemic SIS model with nonlinear infectivity. Communications in Nonlinear Science and Numerical Simulation, 17(6), pp. 2588-2594, DOI: 10.1016/j.cnsns.2011.08.039.
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Type
Article
Year
2011
Authors
3
Datasets
0
Total Files
0
Language
English
Journal
Communications in Nonlinear Science and Numerical Simulation
DOI
10.1016/j.cnsns.2011.08.039
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