The Competing Two-Strain SIS Pairwise Approximation Model With Infection Age

The Competing Two-Strain SIS Pairwise Approximation Model With Infection Age

This paper studies a two-strain SIS pairwise approximation model with a competing mechanism and non-Markovian recovery process in which the recovery rate depends on infection age. The model is a hyperbolic system, which can be transformed into a system of integro-differential equations by using the...

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Veröffentlicht in:IEEE access 2019, Vol.7, p.100618-100625
Hauptverfasser: Zhang, Juping, Li, Dan, Jing, Wenjun, Jin, Zhen
Format: Artikel
Sprache:eng
Schlagworte:
Approximation
Complex networks
Differential equations
Hyperbolic systems
Infection age
Infectious diseases
Mathematical analysis
Mathematical model
Method of characteristics
non-Markovian
pairwise model
Recovery
reproduction number
Silicon
Strain
two-strain
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Zusammenfassung:This paper studies a two-strain SIS pairwise approximation model with a competing mechanism and non-Markovian recovery process in which the recovery rate depends on infection age. The model is a hyperbolic system, which can be transformed into a system of integro-differential equations by using the method of characteristics. We obtain the associated reproduction numbers for each of the two strains, which determine the existence of the boundary equilibria. Besides, we also show that the two competing strains may coexist.
ISSN:2169-3536
2169-3536
DOI:10.1109/ACCESS.2019.2929787