MODELLING THE INTRODUCTION OF <i>WOLBACHIA</i> INTO <i>AEDES AEGYPTI</i> MOSQUITOES TO REDUCE DENGUE TRANSMISSION

Ndii, Meksianis Z.; Hickson, Roslyn I.; Mercer, G. N.

doi:10.1017/s1446181112000132

Cited by 32 publications

(45 citation statements)

References 16 publications

(26 reference statements)

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“…Various models have been applied to try to understand the impact of Wolbachia on the transmission of dengue virus in its mosquito host (74)(75)(76). These models do not consider the effects of vertical transmission on the maintenance of dengue virus within a population, which has been suggested to be an important factor affecting the ability of the virus to persist within the population in rural areas with low human population densities (65).…”

Section: Figmentioning

confidence: 99%

Wolbachia-Mediated Antiviral Protection in Drosophila Larvae and Adults following Oral Infection

Stevanovic

Arnold

Johnson

2015

Appl Environ Microbiol

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Understanding viral dynamics in arthropods is of great importance when designing models to describe how viral spread can influence arthropod populations. The endosymbiotic bacterium Wolbachia spp., which is present in up to 40% of all insect species, has the ability to alter viral dynamics in both Drosophila spp. and mosquitoes, a feature that in mosquitoes may be utilized to limit spread of important arboviruses. To understand the potential effect of Wolbachia on viral dynamics in nature, it is important to consider the impact of natural routes of virus infection on Wolbachia antiviral effects. Using adult Drosophila strains, we show here that Drosophila-Wolbachia associations that have previously been shown to confer antiviral protection following systemic viral infection also confer protection against virus-induced mortality following oral exposure to Drosophila C virus in adults. Interestingly, a different pattern was observed when the same fly lines were challenged with the virus when still larvae. Analysis of the four Drosophila-Wolbachia associations that were protective in adults indicated that only the w1118-wMelPop association conferred protection in larvae following oral delivery of the virus. Analysis of Wolbachia density using quantitative PCR (qPCR) showed that a high Wolbachia density was congruent with antiviral protection in both adults and larvae. This study indicates that Wolbachia-mediated protection may vary between larval and adult stages of a given Wolbachia-host combination and that the variations in susceptibility by life stage correspond with Wolbachia density. The differences in the outcome of virus infection are likely to influence viral dynamics in Wolbachia-infected insect populations in nature and could also have important implications for the transmission of arboviruses in mosquito populations.A rthropods harbor a wide range of viruses that can be transmitted between individuals or populations of the same species or can bridge the interspecies gap to infect plants or other animals. The outcome of viral infections can be modulated by tripartite interactions between arthropods, viruses, and bacteria (1). One such interaction is the tripartite interaction between insects, viruses, and the endosymbyotic bacterium Wolbachia pipientis.Wolbachia spp. have gained much attention due to the antiviral effects they confer to their host. The impact of Wolbachia spp. on virus infection was first described in the Drosophila melanogaster host, where it was shown to protect against mortality induced by diverse viruses, including Drosophila C virus (DCV), cricket paralysis virus, and Flock House virus (2, 3). Since that discovery, Wolbachia-mediated antiviral effects have been demonstrated in a number of insect hosts and are being investigated as a way of limiting spread of arboviruses (reviewed in references 1, 4, 5, and 6). Notably, Wolbachia-mediated antiviral effects have been demonstrated in adult mosquitoes artificially infected with Wolbachia; in mosquitoes, Wolbachia can interfere with accu...

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Section: Figmentioning

confidence: 99%

Wolbachia-Mediated Antiviral Protection in Drosophila Larvae and Adults following Oral Infection

Stevanovic

Arnold

Johnson

2015

Appl Environ Microbiol

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“…The mosquito population model proposed by Ndii et al incorporates competition for resources in the aquatic stage and the effects of cytoplasmic incompatibility in the mating function, causing embryonic mortality in offspring when infected‐ Wolbachia males mate either with non‐ Wolbachia females or with infected‐ Wolbachia females. Thus, non‐ Wolbachia aquatic stage mosquitoes A n are generated from mating between non‐ Wolbachia adults, with a reproductive rate ρ n ; so, the birth rate is

ρ_{n} \frac{F_{n} M_{n}}{T}

, where F n and M n are non‐ Wolbachia female and male adult mosquito populations, respectively, and T = F n + M n + F w + M w .…”

Section: Mathematical Modelmentioning

confidence: 99%

“…These considerations lead to the following system:

({, \begin{matrix} array \frac{d A_{n}}{d t} = \frac{ρ_{n} F_{n}^{2}}{2 (F_{n} + F_{w})} (1 - \frac{A_{n} + A_{w}}{k}) - μ_{n a} A_{n} - τ_{n} A_{n} \\ array \frac{d F_{n}}{d t} = \frac{τ_{n} A_{n}}{2} - μ_{n} F_{n} + \frac{(1 - α_{w}) τ_{w} A_{w}}{2} \\ array \frac{d A_{w}}{d t} = \frac{ρ_{w} F_{w}}{2} (1 - \frac{A_{n} + A_{w}}{k}) - μ_{w a} A_{w} - τ_{w} A_{w} \\ array \frac{d F_{w}}{d t} = \frac{α_{w} τ_{w} A_{w}}{2} - μ_{w} F_{w}, \end{matrix})

whose populations can be a dimensionalized with respect to k , being equivalent to assume k = 1 as the maximum capacity of aquatic medium …”

Section: Mathematical Modelmentioning

confidence: 99%

“…According to Ndii et al, the steady state P 1 = (0,0,0,0) is unstable. The steady state

P_{2} = false(A_{n 2}^{*}, F_{n 2}^{*}, 0, 0 false)

is stable for

ρ_{n} > \frac{4 false(μ_{n a} + τ_{n} false) μ_{n}}{τ_{n}}

.…”

Section: Mathematical Modelmentioning

confidence: 99%

“…These studies result in complex systems representing empiric mathematical models, based on a multidisciplinary approach, integrating specialized theoretical knowledge, computational, and field/laboratory experience. ()…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Controlling Aedes aegypti populations by limited Wolbachia‐based strategies in a seasonal environment

Rafikov

Meza

Correa

et al. 2019

Math Methods in App Sciences

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In this work, the linear feedback limited control strategy is proposed to indicate how the Wolbachia‐infected mosquitoes should be introduced in the seasonal environment to reduce the non‐Wolbachia mosquito population. The numerical simulations show that the proposed strategy reduces the population level of non‐Wolbachia mosquitos, avoiding mosquito spread and, consequently, reducing the number of cases of vector‐borne diseases.

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Modelling a Wolbachia Invasion Using a Slow–Fast Dispersal Reaction–Diffusion Approach

Chan

Kim

2013

Bull Math Biol

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This paper uses a reaction-diffusion approach to examine the dynamics in the spread of a Wolbachia infection within a population of mosquitoes in a homogeneous environment. The formulated model builds upon an earlier model by Skalski and Gilliam (Am. Nat. 161(3):441-458, 2003), which incorporates a slow and fast dispersal mode. This generates a faster wavespeed than previous reaction-diffusion approaches, which have been found to produce wavespeeds that are unrealistically slow when compared with direct observations. In addition, the model incorporates cytoplasmic incompatibility between male and female mosquitoes, which creates a strong Allee effect in the dynamics. In previous studies, linearised wavespeeds have been found to be inaccurate when a strong Allee effect is underpinning the dynamics. We provide a means to approximate the wavespeed generated by the model and show that it is in close agreement with numerical simulations. Wavespeeds are approximated for both Aedes aegypti and Drosophila simulans mosquitoes at different temperatures. These wavespeeds indicate that as the temperature decreases within the optimal temperature range for mosquito survival, the speed of a Wolbachia invasion increases for Aedes aegypti populations and decreases for Drosophila simulans populations.

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MODELLING THE INTRODUCTION OF WOLBACHIA INTO AEDES AEGYPTI MOSQUITOES TO REDUCE DENGUE TRANSMISSION

Cited by 32 publications

References 16 publications

Wolbachia-Mediated Antiviral Protection in Drosophila Larvae and Adults following Oral Infection

Wolbachia-Mediated Antiviral Protection in Drosophila Larvae and Adults following Oral Infection

Controlling Aedes aegypti populations by limited Wolbachia‐based strategies in a seasonal environment

Modelling a Wolbachia Invasion Using a Slow–Fast Dispersal Reaction–Diffusion Approach

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