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Author:

Xue, Yuyi (Xue, Yuyi.) | Xiao, Yanni (Xiao, Yanni.)

Indexed by:

EI PubMed SCIE Engineering Village

Abstract:

There are many challenges to constitute the linkage from the macroscale to the microscale and analyze the multiscale model. We proposed a bidirectional coupling model with standard incidence which includes the interaction of between-host transmission dynamics and within-host viral dynamics, and investigated the dynamic behaviors of the multiscale system on two time-scales. We found that the multiscale system exhibits more complex dynamics including backward bifurcation, which means that the usual thresholds for infection control or virus elimination obtained from the epidemiological model or virus dynamic model may not act as threshold parameter under a certain condition. There may be multiple epidemic equilibriums, one of which is stable, although the basic reproduction number is less than 1. We numerically examine the synergistic impact between the macro and micro dynamics. In particular, increasing the drug efficacy can decrease the prevalence of disease. The contact rate may affect the number and size of equilibria of viral dynamics model by inducing the occurrence of backward bifurcation. The finding suggests that the effective control measures may include both the reduction in contact rate or transmission rate at the population level and the increase in drug efficacy at the individual level, and using these control measures together can effectively control the diseases. © 2020 the Author(s), licensee AIMS Press.

Keyword:

Bifurcation (mathematics) Cell proliferation Controlled drug delivery Disease control Diseases Dynamics Transmissions Viruses

Author Community:

  • [ 1 ] [Xue, Yuyi]School of Mathematics and Statistics, Xi'an Jiaotong University, Xi'an; 710049, China
  • [ 2 ] [Xiao, Yanni]School of Mathematics and Statistics, Xi'an Jiaotong University, Xi'an; 710049, China

Reprint Author's Address:

  • [Xiao, Yanni]School of Mathematics and Statistics, Xi'an Jiaotong University, Xi'an; 710049, China;;

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Source :

Mathematical Biosciences and Engineering

ISSN: 1547-1063

Year: 2020

Issue: 6

Volume: 17

Page: 6720-6736

2 . 0 8

JCR@2020

2 . 0 8 0

JCR@2020

ESI Discipline: MATHEMATICS;

ESI HC Threshold:28

CAS Journal Grade:4

Cited Count:

WoS CC Cited Count: 1

SCOPUS Cited Count: 7

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 8

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