当前位置： SCI文献检索 > MATHEMATICAL BIOSCIENCES期刊下所有文献 > Models to assess the effects of non-identical sex ratio augmentations of Wolbachia-carrying mosquitoes on the control of dengue disease.

Models to assess the effects of non-identical sex ratio augmentations of Wolbachia-carrying mosquitoes on the control of dengue disease.

Abstract：

:The introduction of endosymbiont Wolbachia into laboratory-reared mosquito populations, which are then released to mix with natural populations to prevent the mosquito vectors from reproducing and thus break the transmission cycle of dengue disease, is an innovative new technology. Field trials of Wolbachia-carrying mosquitoes have now been implemented in many countries where there have been the outbreaks of dengue disease. A mathematical model is proposed to investigate the effects of non-identical sex ratio releases of Wolbachia-carrying mosquitoes on the control of dengue transmission. Firstly, we analyzed the existence and stability of equilibria for the system and proved the existence of forward and backward bifurcations. Secondly, bifurcation diagrams, the basins of attraction of the equilibria and the effects of mosquito augmentation for the system with imperfect and perfect transmission rates were obtained. Thirdly, three possible results for mosquito augmentation were summarized for different parameter regions. Further we explored an uncertainty and sensitivity analysis of solutions to estimate the effects of different parameter values on the success or failure of population replacement. Based on the above analysis, we considered a series of relevant issues such as (a) whether or not mosquito augmentation can ensure the success of population replacement? (b) If not, what are the parameter regions for the success or possible success of population replacement? (c) How does the initial density of natural mosquitoes and the quantity of mosquito augmentations affect the success of population replacement? (d) Whether all population replacements are effective for reducing the spread of dengue virus in the end? The results of this study will be helpful for public health authorities in designing proper strategies of mosquito augmentations for the control of dengue disease.

journal_name

Math Biosci

journal_title

Mathematical biosciences

authors

Zhang X,Tang S,Liu Q,Cheke RA,Zhu H

doi

10.1016/j.mbs.2018.03.003

subject

Has Abstract

pub_date

2018-05-01 00:00:00

pages

58-72

eissn

0025-5564

issn

1879-3134

pii

S0025-5564(17)30592-8

journal_volume

299

pub_type

杂志文章

相关文献

MATHEMATICAL BIOSCIENCES文献大全
  • Influence of concurrency, partner choice, and viral suppression on racial disparity in the prevalence of HIV infected women.

    abstract：:In 1992, Watts and May introduced a simple dynamical systems model of the spread of HIV based on disease transmission per partnership including the length of partnership duration. This model allowed for the treatment of concurrent partnerships, although it was hampered by the assumption of an important latent phase wh...

    journal_title：Mathematical biosciences

    pub_type： 杂志文章

    doi：10.1016/j.mbs.2016.09.009

    authors： Gurski KF,Hoffman KA

    更新日期：2016-12-01 00:00:00

  • Spatial synchrony in host-parasitoid models using aggregation of variables.

    abstract：:We consider a host-parasitoid system with individuals moving on a square grid of patches. We study the effects of increasing movement frequency of hosts and parasitoids on the spatial dynamics of the system. We show that there exists a threshold value of movement frequency above which spatial synchrony occurs and the ...

    journal_title：Mathematical biosciences

    pub_type： 杂志文章

    doi：10.1016/j.mbs.2006.03.019

    authors： Nguyen-Huu T,Lett C,Auger P,Poggiale JC

    更新日期：2006-10-01 00:00:00

  • Spreading of excitation in 3-D models of the anisotropic cardiac tissue. I. Validation of the eikonal model.

    abstract：:In this work we investigate, by means of numerical simulations, the performance of two mathematical models describing the spread of excitation in a three dimensional block representing anisotropic cardiac tissue. The first model is characterized by a reaction-diffusion system in the transmembrane and extracellular pot...

    journal_title：Mathematical biosciences

    pub_type： 杂志文章

    doi：10.1016/0025-5564(93)90001-q

    authors： Franzone PC,Guerri L

    更新日期：1993-02-01 00:00:00

  • Sharpening spots: correcting for bleedover in cDNA array images.

    abstract：:For cDNA array methods that depend on imaging of a radiolabel, we show that bleedover of one spot onto another, due to the gap between the array and the imaging media, can be a major problem. The images can be sharpened, however, using a blind convolution method based on the EM algorithm. The sharpened images look lik...

    journal_title：Mathematical biosciences

    pub_type： 杂志文章

    doi：10.1016/s0025-5564(01)00101-8

    authors： Therneau T,Tschumper RC,Jelinek D

    更新日期：2002-03-01 00:00:00

  • Habitat destruction, habitat restoration and eigenvector-eigenvalue relations.

    abstract：:According to metapopulation theory, the capacity of a habitat patch network to support the persistence of a species is measured by the metapopulation capacity of the patch network. Mathematically, metapopulation capacity is given by the leading eigenvalue lambda(M) of an appropriately constructed non-negative n x n ma...

    journal_title：Mathematical biosciences

    pub_type： 杂志文章

    doi：10.1016/s0025-5564(02)00150-5

    authors： Ovaskainen O

    更新日期：2003-02-01 00:00:00

  • Spread of excitation in 3-D models of the anisotropic cardiac tissue. III. Effects of ventricular geometry and fiber structure on the potential distribution.

    abstract：:In a previous paper we studied the spread of excitation in a simplified model of the left ventricle, affected by fiber structure and obliqueness, curvature of the wall and Purkinje network. In the present paper we investigate the extracellular potential distribution u in the same ventricular model. Given the transmemb...

    journal_title：Mathematical biosciences

    pub_type： 杂志文章

    doi：10.1016/s0025-5564(98)10004-4

    authors： Colli Franzone P,Guerri L,Pennacchio M,Taccardi B

    更新日期：1998-07-01 00:00:00

  • Mathematical assessment of the impact of non-pharmaceutical interventions on curtailing the 2019 novel Coronavirus.

    abstract：:A pandemic of a novel Coronavirus emerged in December of 2019 (COVID-19), causing devastating public health impact across the world. In the absence of a safe and effective vaccine or antivirals, strategies for controlling and mitigating the burden of the pandemic are focused on non-pharmaceutical interventions, such a...

    journal_title：Mathematical biosciences

    pub_type： 杂志文章

    doi：10.1016/j.mbs.2020.108364

    authors： Ngonghala CN,Iboi E,Eikenberry S,Scotch M,MacIntyre CR,Bonds MH,Gumel AB

    更新日期：2020-07-01 00:00:00

  • Effective rate models for the analysis of transport-dependent biosensor data.

    abstract：:Optical biosensors, including the BIACORE, provide an increasingly popular method for determining reaction rates of biomolecules. In a flow chamber, with one reactant immobilized on a chip on the sensor surface, a solution containing the other reactant (the analyte) flows through the chamber. The time course of bindin...

    journal_title：Mathematical biosciences

    pub_type： 杂志文章

    doi：10.1016/s0025-5564(99)00023-1

    authors： Mason T,Pineda AR,Wofsy C,Goldstein B

    更新日期：1999-07-01 00:00:00

  • A mechanoreceptor model for rapidly and slowly adapting afferents subjected to periodic vibratory stimuli.

    abstract：:A simple model of Freeman and Johnson on cutaneous mechanoreceptors is modified by introducing mechanisms for hyperexcitation and refractoriness. These lead to significant improvements in the match between the neural and model data. ...

    journal_title：Mathematical biosciences

    pub_type： 杂志文章

    doi：10.1016/0025-5564(94)00083-c

    authors： Slavík P,Bell J

    更新日期：1995-11-01 00:00:00

  • Automatic simplification of systems of reaction-diffusion equations by a posteriori analysis.

    abstract：:Many mathematical models in biology and physiology are represented by systems of nonlinear differential equations. In recent years these models have become increasingly complex in order to explain the enormous volume of data now available. A key role of modellers is to determine which components of the model have the ...

    journal_title：Mathematical biosciences

    pub_type： 杂志文章

    doi：10.1016/j.mbs.2013.12.011

    authors： Maybank PJ,Whiteley JP

    更新日期：2014-02-01 00:00:00

  • Some remarks on definition and validity of terms used in models for infectious disease spread.

    abstract：:The epidemiology of infectious diseases makes use of a number of terms, such as exposure, infected, carrier, attack rate, and immunity. Researchers who intend to model the spread of epidemics should be aware of the problems with some of these terms. The role played by inapparent, or subclinical, infections is receivin...

    journal_title：Mathematical biosciences

    pub_type： 杂志文章

    doi：10.1016/0025-5564(91)90001-y

    authors： Giesecke J

    更新日期：1991-12-01 00:00:00

  • Dynamics of a predator-prey model with generalized Holling type functional response and mutual interference.

    abstract：:Mutual interference and prey refuge are important drivers of predator-prey dynamics. The "exponent" or degree of mutual interference has been under much debate in theoretical ecology. In the present work, we investigate the interplay of the mutual interference exponent, and prey refuge, on the behavior of a predator-p...

    journal_title：Mathematical biosciences

    pub_type： 杂志文章

    doi：10.1016/j.mbs.2020.108407

    authors： Antwi-Fordjour K,Parshad RD,Beauregard MA

    更新日期：2020-08-01 00:00:00

  • Time delay in physiological systems: analyzing and modeling its impact.

    abstract：:This article examines the functional and clinical impact of time delays that arise in human physiological systems, especially control systems. An overview of the mathematical and physiological contexts for considering time delays will be illustrated, from the system level to cell level, by examining models that incorp...

    journal_title：Mathematical biosciences

    pub_type： 杂志文章,评审

    doi：10.1016/j.mbs.2011.08.006

    authors： Batzel JJ,Kappel F

    更新日期：2011-12-01 00:00:00

  • New perspectives on multilocus ancestry informativeness.

    abstract：:We present an axiomatic approach for multilocus informativeness measures for determining the amount of information that a set of polymorphic genetic markers provides about individual ancestry. We then reveal several surprising properties of a decision-theoretic based measure that is consistent with the set of proposed...

    journal_title：Mathematical biosciences

    pub_type： 杂志文章

    doi：10.1016/j.mbs.2018.10.011

    authors： Tal O,Tran TD

    更新日期：2018-12-01 00:00:00

  • A novel algorithm for tracing the interaction of a track with molecular targets--use of Delaunay triangulation.

    abstract：:This paper describes an efficient method for tracing interactions between a radiation track and molecular targets in a cell or nucleus. The method is efficient because it ensures that a minimal subset of interactions in the track needs to be tested for each score. It is most useful for high-energy particles since the ...

    journal_title：Mathematical biosciences

    pub_type： 杂志文章

    doi：10.1016/s0025-5564(98)10045-7

    authors： Fitzsimons CJ,Nikjoo H,Bolton CE,Goodhead DT

    更新日期：1998-12-15 00:00:00

  • A comparison of different bivariate correlated frailty models and estimation strategies.

    abstract：:Frailty models are becoming increasingly popular in multivariate survival analysis. Shared frailty models in particular are often used despite their limitations. To overcome their disadvantages numerous correlated frailty models were established during the last decade. In the present study, we examine bivariate correl...

    journal_title：Mathematical biosciences

    pub_type： 杂志文章

    doi：10.1016/j.mbs.2004.11.010

    authors： Wienke A,Arbeev KG,Locatelli I,Yashin AI

    更新日期：2005-11-01 00:00:00

  • A multiscale theoretical model for diffusive mass transfer in cellular biological media.

    abstract：:An integrated methodology is developed for the theoretical analysis of solute transport and reaction in cellular biological media, such as tissues, microbial flocs, and biofilms. First, the method of local spatial averaging with a weight function is used to establish the equation which describes solute conservation at...

    journal_title：Mathematical biosciences

    pub_type： 杂志文章

    doi：10.1016/j.mbs.2007.04.008

    authors： Kapellos GE,Alexiou TS,Payatakes AC

    更新日期：2007-11-01 00:00:00

  • Persistence of an infectious disease in a subdivided population.

    abstract：:The transmission dynamics of a communicable disease in a subdivided population where the spread among groups follows the proportionate mixing model while the within-group transmission can correspond to preferred mixing, proportionate mixing among subgroups, or mixing between social and nonsocial subgroups, is analyzed...

    journal_title：Mathematical biosciences

    pub_type： 杂志文章

    doi：10.1016/0025-5564(89)90061-8

    authors： Andreasen V,Christiansen FB

    更新日期：1989-10-01 00:00:00

  • Automatic learning of mortality in a CPN model of the systemic inflammatory response syndrome.

    abstract：:The aim of this paper is to apply machine learning as a method to refine a manually constructed CPN for the assessment of the severity of the systemic inflammatory response syndrome (SIRS).The goal of tuning the CPN is to create a scoring system that uses only objective data, compares favourably with other severity-sc...

    journal_title：Mathematical biosciences

    pub_type： 杂志文章

    doi：10.1016/j.mbs.2016.11.004

    authors： Ward L,Paul M,Andreassen S

    更新日期：2017-02-01 00:00:00

  • Effect of non-well-mixed compartment and bulk flow on diffusion through a pore.

    abstract：:The assumptions of well-mixed and zero bulk flow in compartmental analysis are reexamined. Using Poiseuille flow inside and radial flow outside a pore, the mass-transfer equations are solved by perturbations on simple diffusion. Formulas are obtained for solute distribution, total mass transfer, and apparent permeabil...

    journal_title：Mathematical biosciences

    pub_type： 杂志文章

    doi：10.1016/0025-5564(89)90054-0

    authors： Wang CY

    更新日期：1989-07-01 00:00:00

  • Coding of information in models of tuberous electroreceptors.

    abstract：:Weakly electric fish continuously emit a quasi-sinusoidal electric organ discharge (EOD) to probe their near environment (electrolocation). P-type tuberous receptors located on their skin respond to amplitude modulations of the EOD by varying their firing rate. These receptors, and the neuronal circuitry downstream fr...

    journal_title：Mathematical biosciences

    pub_type： 杂志文章

    doi：10.1016/j.mbs.2003.08.012

    authors： St-Hilaire M,Longtin A

    更新日期：2004-03-01 00:00:00

  • The influence of soluble fragments of extracellular matrix (ECM) on tumor growth and morphology.

    abstract：:A major challenge in matrix-metalloproteinase (MMP) target validation and MMP-inhibitor-drug development for anti-cancer clinical trials is to better understand their complex roles (often competing with each other) in tumor progression. While there is extensive research on the growth-promoting effects of MMPs, the gro...

    journal_title：Mathematical biosciences

    pub_type： 杂志文章

    doi：10.1016/j.mbs.2017.11.014

    authors： Nargis NN,Aldredge RC,Guy RD

    更新日期：2018-02-01 00:00:00

  • A mechanical model of tumor encapsulation and transcapsular spread.

    abstract：:In this paper, a mathematical modeling framework is presented which describes the growth, encapsulation, and transcapsular spread of solid tumors. The model is based on the physical forces and cellular interactions involved in tumorigenesis and is used to test and compare the active (foreign body hypothesis) and passi...

    journal_title：Mathematical biosciences

    pub_type： 杂志文章

    doi：10.1016/s0025-5564(02)00118-9

    authors： Jackson TL,Byrne HM

    更新日期：2002-11-01 00:00:00

  • Learning of oscillatory correlated patterns in a cortical network by a STDP-based learning rule.

    abstract：:In this paper, we propose an iterative learning rule that allows the imprinting of correlated oscillatory patterns in a model of the hippocampus able to work as an associative memory for oscillatory spatio-temporal patterns. We analyze the dynamics in the Fourier domain, showing how the network selectively amplify or ...

    journal_title：Mathematical biosciences

    pub_type： 杂志文章

    doi：10.1016/j.mbs.2006.10.001

    authors： Marinaro M,Scarpetta S,Yoshioka M

    更新日期：2007-06-01 00:00:00

  • Formulating spread of species with habitat dependent growth and dispersal in heterogeneous landscapes.

    abstract：:Habitat heterogeneity can have profound effects on the spreading dynamics of invasive species. Using integro-difference equations, we investigate the spreading dynamics in a one-dimensional heterogeneous landscape comprising alternating favourable and unfavourable habitat patches or randomly generated habitat patches ...

    journal_title：Mathematical biosciences

    pub_type： 杂志文章

    doi：10.1016/j.mbs.2016.02.013

    authors： Ramanantoanina A,Hui C

    更新日期：2016-05-01 00:00:00

  • Threshold parameters for epidemics in different community settings.

    abstract：:Threshold parameters of epidemic models play a central role in the assessment of proposed control strategies for infectious diseases. They have been determined for numerous standard epidemic models. This paper points out, with several examples, that threshold parameters depend on the social setting of the community an...

    journal_title：Mathematical biosciences

    pub_type： 杂志文章

    doi：10.1016/0025-5564(94)00061-4

    authors： Becker NG,Bahrampour A,Dietz K

    更新日期：1995-10-01 00:00:00

  • Dynamics between infectious diseases with two susceptibility conditions: A mathematical model.

    abstract：:This paper presents a novel epidemiological transmission model of a population affected by two different susceptible-infected-susceptible infectious diseases. For each disease, individuals fall into one of the two susceptibility conditions in which one of the diseases has the highest occurrence level. This model is un...

    journal_title：Mathematical biosciences

    pub_type： 杂志文章

    doi：10.1016/j.mbs.2019.01.005

    authors： Gutiérrez-Jara JP,Córdova-Lepe FD,Muñoz-Quezada MT

    更新日期：2019-03-01 00:00:00

  • Incorporating prior parameter uncertainty in the design of sampling schedules for pharmacokinetic parameter estimation experiments.

    abstract：:An experiment design procedure is proposed for nonlinear parameter estimation studies that formally incorporates prior parameter uncertainty. The design criterion derives from information theory considerations and involves an asymptotic interpretation of the expected posterior information provided by an experiment. A ...

    journal_title：Mathematical biosciences

    pub_type： 杂志文章

    doi：10.1016/0025-5564(90)90141-k

    authors： D'Argenio DZ

    更新日期：1990-04-01 00:00:00

  • Estimation of vaccine efficacy from epidemics of acute infectious agents under vaccine-related heterogeneity.

    abstract：:A stochastic epidemic model is formulated for the study of the protective effects of vaccination in a population that is stratified by vaccine-related factors. The epidemic model is transformed into a counting process, and then martingale-based methods are used to provide estimators of vaccine efficacy and their varia...

    journal_title：Mathematical biosciences

    pub_type： 杂志文章

    doi：10.1016/0025-5564(93)90028-9

    authors： Longini IM Jr,Halloran ME,Haber M

    更新日期：1993-09-01 00:00:00

  • Intraspecific trait variation and its effects on food chains.

    abstract：:Traits such as skill at foraging and investment in anti-predator defense may vary among individuals within a species population. This intraspecific variation has implications for community dynamics. The implications of intraspecific variation of a consumer in the intermediate level of a tritrophic food chain are explo...

    journal_title：Mathematical biosciences

    pub_type： 杂志文章

    doi：10.1016/j.mbs.2013.04.008

    authors： DeAngelis DL

    更新日期：2013-08-01 00:00:00