Threshold conditions for a discrete nonautonomous SIRS model |
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| Authors: | Tailei Zhang Junli Liu Zhidong Teng |
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| Institution: | 1. School of Science, Chang'an University, Xi'an 710064, China;2. School of Science, Xi'an Polytechnic University, Xi'an 710048, China;3. College of Mathematics and System Sciences, Xinjiang University, Urumqi 830046, China |
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| Abstract: | In this paper, a discrete nonautonomous SIRS epidemic model is studied. The model is constructed by applying a nonstandard finite difference scheme. Under weaker assumptions, the sufficient and necessary conditions on the permanence and strong persistence of the disease and the sufficient condition on the extinction of the disease are established. In order to illustrate our theoretical analysis, some numerical simulations are included in the end. Copyright © 2014 John Wiley & Sons, Ltd. |
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| Keywords: | discrete SIRS model nonautonomous epidemic model permanence extinction |
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