A bi-virus competing model with time-varying susceptibility and repeated infection |
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| Institution: | 1. School of Mathematics and Statistics, Chongqing Technology and Business University, Chongqing 400060, China;2. Department of Applied Mathematics, Lanzhou University of Technology, Lanzhou, 730000, China;3. College of Mathematics and Statistics, Lanzhou University, Lanzhou, 730000, China |
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| Abstract: | This paper introduces a bi-virus model with time-varying susceptibility. The model describes the case that there coexist two viruses and the time-varying susceptibility due to repeated infections. For different parameters, we investigate the stability of various equilibriums. Under appropriate conditions the two viruses show competitive relationship, that is, one virus will eventually become a pandemic, and the other virus will eventually disappear. For this case, we further study the dynamical behavior of virus transmission. The model shows some new phenomena, that is, the outbreak of the virus will be delayed appropriately, giving people an illusion. Finally, we present a numerical example to illustrate the effectiveness of the theoretical results. |
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| Keywords: | Bi-virus model Time-varying susceptibility Competitive relationship Delayed outbreak |
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