SearcharxivSearch

arXiv · 1311.6216

Evaluating the Usefulness of Paratransgenesis for Malaria Control

Abstract

Malaria is a serious global health problem which is especially devastating to the developing world. Mosquitoes are the carriers of the parasite responsible for the disease, and hence malaria control programs focus on controlling mosquito populations. This is done primarily through the spraying of insecticides, or through the use of insecticide treated bed nets. However, usage of these insecticides exerts massive selection pressure on mosquitoes, resulting in insecticide resistant mosquito breeds. Hence, developing alternative strategies is crucial for sustainable malaria control. Here we explore the usefulness of paratransgenesis, i.e., introducing genetically engineered bacteria which secrete anti-plasmodium molecules, inside the mosquito midgut. The bacteria enter a mosquito's midgut when it drinks from a sugar bait, i.e., a sugar solution containing the bacterium. We formulate a mathematical model for evaluating the number of such baits required for preventing an outbreak. We study scenarios where vectors and hosts mix homogeneously as well as heterogeneously. We perform a full stability analysis and calculate the basic reproductive number for both the cases. Additionally, for the heterogeneous mixing scenario, we propose a targeted bait distribution strategy. The optimal bait allocation is calculated and is found to be extremely efficient in terms of bait usage. Our analyses suggest that paratransgenesis can prevent an outbreak, and hence it offers a viable and sustainable path to malaria control.

Explore related subjects

Keep this discovery

BibTeXRIS

Bhushan Kotnis, Joy Kuri. 2013-11-25. Evaluating the Usefulness of Paratransgenesis for Malaria Control. https://doi.org/10.1016/j.mbs.2016.04.005

Cite the original work for its findings. Save a collection to share your selection of sources.

KEEP EXPLORING

Related papers

Admissible Fourier Lengths, KAM Reducibility, and Spectral Applications

We develop a perturbative KAM reducibility theory for one-frequency $\mathrm{SL}(2,\mathbb{R})$ cocycles based on an admissible Fourier length $\ell$. The regularity relevant to the iteration is measured by positive adapted Fourier width rather than ordinary smoothness in the Euclidean length $|n|$. The same length governs Fourier decay, truncation and resonance scales, and the arithmetic condition controlling the small divisors. This framework contains the classical analytic and Gevrey settings, while non-monotone choices of $\ell$ allow classical nowhere differentiable Weierstrass-type perturbations and continuous perturbations outside every positive H\"older class. As spectral applications, we obtain purely absolutely continuous spectrum for every phase and $1/2$-H\"older continuity of the integrated density of states for the associated quasiperiodic Schr\"odinger operators. The Aubry dual has pure point spectrum for Lebesgue almost every dual phase, with eigenfunctions exponentially localized in the metric induced by $\ell$. We also construct nowhere differentiable quasiperiodic potentials with purely absolutely continuous Cantor spectrum.

math.DS

Dynamics inside the attracting basins of some skew products

Polynomial skew products in $\mathbb{C}^2$ are maps of the form $F(z,w)=(P(z),Q(z,w))$, where $P$ and $Q$ are polynomials. Their local dynamics have been widely investigated. In this paper, we study the global dynamics inside Fatou components of some skew products. We consider all the inverse images in a Fatou component of a given point and use the Kobayashi metric to measure the distance between points. In the cases we consider, there are always arbitrarily large Kobayashi balls in the complement of these inverse sets.

math.DS

Ergodicity of dynamical systems without uniqueness of orbits

Recently, there has been considerable interest in the study of non-deterministic dynamical systems. To analyze the chaotic behavior of such systems from a measure-theoretic viewpoint, it is desirable to consider ergodicity. However, the classical definition of ergodicity involves invariant sets, whose definition is not unique for non-deterministic dynamical systems. Thus, we are led to the question of which invariance yields an interesting definition of ergodicity. Here, we propose a definition based on the strong backward invariance and show that analogs of classical results hold. We also consider implications of the Birkhoff ergodic theorem for systems without uniqueness of orbits.

math.DS