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Oscillatory Behavior of a Network Epidemic SIS Model with Nonlinear Infectivity
College of Science, Mathematics and Technology, Alabama State University, Montgomery, USA
College of Science, Mathematics and Technology, Alabama State University, Montgomery, USA
- 1 College of Science, Mathematics and Technology, Alabama State University, Montgomery, USA
- 2 College of Science, Mathematics and Technology, Alabama State University, Montgomery, USA
Applied Mathematics·Volume 05 (2013)·Pages 203–211·Published 25 December 2013·DOI10.4236/am.2014.51021
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Abstract
In this paper, an epidemic SIS model with nonlinear infectivity on heterogeneous networks and time delays is investigated. The oscillatory behavior of the solutions is studied. Two sufficient conditions are provided to guarantee the oscillatory behavior for the solutions. Some computer simulations are demonstrated.
KeywordsSepidemic SIS Network ModelDelayOscillation
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