Development of Two-Serotype Dengue Model with Vaccination Impacts for Predicting Transmission of Dengue in Thailand

Janreung, Sutawas; Chinviriyasit, Wirawan

doi:10.36478/jeasci.2019.9872.9883

Cited by 1 publication

(2 citation statements)

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“…This leads to an upsurge in research on dengue virology, pathogenesis, and immunology and in development of antivirals and vaccines. Especially, mathematical models are one useful tool to investigate the cause of epidemic and to suggest the best way to control and prevent dengue [9,[16][17][18][19][20][21][22][23][24][25][26][27]. Kooi et al [22] studied an asymmetric two-strain dengue model for predicting characteristic dynamic behavior and chaos occurring for smaller parameter regimes.…”

Section: Introductionmentioning

confidence: 99%

“…Meanwhile, Anggriani et al [26] studied the effect of reinfection with the same serotype on dengue transmission dynamics by developing a multi-strain dengue mathematical model, which suggested that reinfection with the same serotype may be one of the underlying factors causing an increase in the number of secondary infections. Further, the dengue model with standard incidence rate proposed by Janreung et al [27] was applied in order to investigate only the effect of vaccine parameters in controlling reinfection dengue by vaccination. In addition, empirical data in Thailand 2018 [30] showed that secondary infection leads to severe disease which is a major cause of death from dengue.…”

Section: Introductionmentioning

confidence: 99%

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Mathematical evaluation of the role of cross immunity and nonlinear incidence rate on the transmission dynamics of two dengue serotypes

Janreung

Chinviriyasit

2020

Adv Differ Equ

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Dengue fever is a common disease which can cause shock, internal bleeding, and death in patients if a second infection is involved. In this paper, a multi-serotype dengue model with nonlinear incidence rate is formulated to study the transmission of two dengue serotypes. The dynamical behaviors of the proposed model depend on the threshold value R n 0 known as the reproductive number which depends on the associated reproductive numbers with serotype-1 and serotype-2. The value of R n 0 is used to reflect whether the disease dies out or becomes endemic. It is found that the proposed model has a globally stable disease-free equilibrium if R n 0 ≤ 1, which indicates that if public health measures that make (and keep) the threshold to a value less than unity are carried out, the strategy in disease control is effective in the sense that the number of infected human and mosquito populations in the community will be brought to zero irrespective of the initial sizes of sub-populations. When R n 0 > 1, the endemic equilibria called the coexistence primary and secondary infection equilibria are locally asymptotically stable. The effects of cross immunity and nonlinear incidence rate are explored using data from Thailand to determine the effective strategy in controlling and preventing dengue transmission and reinfection.

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