Modelling weekly vector control against Dengue in the Guangdong Province of China

Tang, Biao; Xiao, Yanni; Tang, Sanyi; Wu, Jianhong

doi:10.1016/j.jtbi.2016.09.012

Cited by 37 publications

(34 citation statements)

References 44 publications

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“…As a safe and novel strategy for controlling mosquito-borne diseases, releasing mosquitoes carrying Wolbachia or mosquitoes with lethal gene to suppress or replace the wild mosquito population has been implemented in areas where mosquito-borne diseases such as Zika, dengue and chikungunya are endemic, which has made the spread dynamics of Wolbachia a hot topic [1,4,19,20,24,25,27,28]. For Wolbachia fixation in wild areas, it is crucial to locate the introduction threshold, i.e.…”

Section: Discussionmentioning

confidence: 99%

Characterization ofWolbachiaenhancing domain in mosquitoes with imperfect maternal transmission

Zheng

2018

Journal of Biological Dynamics

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A novel method to reduce the burden of dengue is to seed wild mosquitoes with Wolbachia-infected mosquitoes in dengue-endemic areas. Concerns in current mathematical models are to locate the Wolbachia introduction threshold. Our recent findings manifest that the threshold is highly dependent on the initial population size once Wolbachia infection alters the logistic control death rate of infected females. However, counting mosquitoes is beyond the realms of possibility. A plausible method is to monitor the infection frequency. We propose the concept of Wolbachia enhancing domain in which the infection frequency keeps increasing. A detailed description of the domain is presented. Our results suggest that both the initial population size and the infection frequency should be taken into account for optimal release strategies. Both Wolbachia fixation and extinction permit the oscillation of the infection frequency.

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Section: Discussionmentioning

confidence: 99%

Characterization ofWolbachiaenhancing domain in mosquitoes with imperfect maternal transmission

Zheng

2018

Journal of Biological Dynamics

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“…As a result, mathematical models with vaccination strategy provide vital information to decision makers at both global and national levels. Although several epidemic models have been introduced in previous research to conceptualize and explore the dynamics of dengue infection to detect the leading factors that significantly affect the transmission of the infection [22][23][24][25][26][27][28][29][30][31][32], few have focused on modeling the effect of vaccination on dengue dynamics and this falls within the scope of this research.…”

Section: Introductionmentioning

confidence: 99%

Effect of pulse vaccination on dynamics of dengue with periodic transmission functions

Jan

2019

Adv Differ Equ

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Pulse vaccination is a repeated vaccination policy, which plays a tremendous role in the global fight against communicable diseases in terms of saving medical resources and decreasing the economic burden. In this article, we propose a dynamic model of dengue infection with periodic transmission functions and seasonality in vector population. Furthermore, we introduce a pulse vaccination strategy in the susceptible host population to examine how frequency and intensity of implementation of this strategy affect the dynamics of dengue infection. We successfully obtained the threshold dynamics by defining the basic reproduction number R 0 , which is the spectral radius of the next generation operator and governs whether the disease dies out or not. It has been established that the infection-free periodic solution of the proposed impulsive system is globally asymptotically stable if R 0 < 1 and is unstable otherwise. Moreover, we found that the dengue infection is uniformly persistent for the proposed system if R 0 > 1. Finally, we execute the system numerically to illustrate the piecewise solutions of the proposed system with impulsive vaccination measure and to investigate the influence of different control parameters on the basic reproduction. The finding indicates that a frequent implementation of the vaccination strategy with great intensity and the use of mosquito nets can essentially lead to a decline of new infections.

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“…A number of mathematical models has been developed in the literature to gain insights into the transmission dynamics of dengue. [10][11][12][13][14][15][16][17] The basic model formulated by Esteva and Vargas 10,11 discussed the global asymptotic stability and the behavior of infected hosts with variable human population. Feng and Velasco-Hernandez 15 investigated the competitive exclusion principle in two strain model for dengue.…”

Section: Introductionmentioning

confidence: 99%

Effect of partial immunity on transmission dynamics of dengue disease with optimal control

Jan

2019

Math Methods in App Sciences

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Dengue fever is one of the most dangerous vector‐borne diseases in the world in terms of death and economic cost. Hence, the modeling of dengue fever is of great significance to understand the dynamics of dengue. In this paper, we extend dengue disease transmission models by including transmit vaccinated class, in which a portion of recovered individual loses immunity and moves to the susceptibles with limited immunity and hence a less transmission probability. We obtain the threshold dynamics governed by the basic reproduction number R0; it is shown that the disease‐free equilibrium is locally asymptotically stable if R0 ≤ 1, and the system is uniformly persistence if R0 > 1. We do sensitivity analysis in order to identify the key factors that greatly affect the dengue infection, and the partial rank correlation coefficient (PRCC) values for R0 shows that the bitting rate is the most effective in lowering dengue new infections, and moreover, control of mosquito size plays an essential role in reducing equilibrium level of dengue infection. Hence, the public are highly suggested to control population size of mosquitoes and to use mosquito nets. By formulating the control objective, associated with the low infection and costs, we propose an optimal control question. By the application of optimal control theory, we analyze the existence of optimal control and obtain necessary conditions for optimal controls. Numerical simulations are carried out to show the effectiveness of control strategies; these simulations recommended that control measures such as protection from mosquito bites and mosquito eradication strategies effectively control and eradicate the dengue infections during the whole epidemic.

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Modelling weekly vector control against Dengue in the Guangdong Province of China

Cited by 37 publications

References 44 publications

Characterization ofWolbachiaenhancing domain in mosquitoes with imperfect maternal transmission

Characterization ofWolbachiaenhancing domain in mosquitoes with imperfect maternal transmission

Effect of pulse vaccination on dynamics of dengue with periodic transmission functions

Effect of partial immunity on transmission dynamics of dengue disease with optimal control

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