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The effect of stochasticity with respect to reinfection and nonlinear transition states for some diseases with relapse
In this paper, we consider a stochastic epidemic model with relapse, reinfection, and a general incidence function. Using stochastic tools, we establish a stochastic threshold Rs0 and prove the extinction of the disease when its value is equal or less than unity. We also show the persistence in mean...
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Published in: | Mathematical methods in the applied sciences 2020-12, Vol.43 (18), p.10659-10670 |
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Main Authors: | , , , , |
Format: | Article |
Language: | English |
Subjects: | |
Citations: | Items that this one cites Items that cite this one |
Online Access: | Get full text |
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Summary: | In this paper, we consider a stochastic epidemic model with relapse, reinfection, and a general incidence function. Using stochastic tools, we establish a stochastic threshold
Rs0 and prove the extinction of the disease when its value is equal or less than unity. We also show the persistence in mean of the disease when
Rs0>1. Moreover, we prove the existence and uniqueness of a stationary distribution. Finally, numerical simulations are presented to show the effectiveness of theoretical results. |
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ISSN: | 0170-4214 1099-1476 1099-1476 |
DOI: | 10.1002/mma.6903 |