Journal
APPLIED MATHEMATICS LETTERS
Volume 94, Issue -, Pages 292-299Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.aml.2019.03.011
Keywords
Discrete SIS model; Basic reproduction number; Complex networks; Lyapunov function
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Funding
- National Natural Science Foundation of China [61573008, 61473178]
- SDUST Research Fund [2018TDJH101, 2014TDJH102]
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In this letter, a discrete SIS (susceptible-infected-susceptible) epidemic model on complex networks is presented. Firstly, the non-negativity and the boundedness of solutions are studied. Secondly, the basic reproduction number R-0 is calculated. Thirdly, applying the Lyapunov direct method of difference equations, the global asymptotic stability of disease free equilibrium is investigated. Finally, there give some simulations. (C) 2019 Elsevier Ltd. All rights reserved.
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