4.0 Article

Existence and global asymptotic behaviour of positive periodic solution of an SI epidemic model with delays

Journal

DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL
Volume 32, Issue 2, Pages 295-303

Publisher

TAYLOR & FRANCIS LTD
DOI: 10.1080/14689367.2016.1216948

Keywords

Epidemic model; periodic solution; global attractive; 34C27; 34K14

Funding

  1. NAFOSTED of Vietnam [101.01-2014.35]

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In this paper, a periodic SI model with delays is studied. By utilizing the Lyapunov-Krasovskii functional method, a novel explicit criterion for the existence and uniqueness and global asymptotic stability of positive periodic solution is established. Finally, a numerical example is given to illustrate the effectiveness of the obtained results.

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