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  • 11
    Online Resource
    Online Resource
    Elsevier BV ; 2009
    In:  Nonlinear Analysis: Theory, Methods & Applications Vol. 71, No. 3-4 ( 2009-8), p. 1082-1093
    In: Nonlinear Analysis: Theory, Methods & Applications, Elsevier BV, Vol. 71, No. 3-4 ( 2009-8), p. 1082-1093
    Type of Medium: Online Resource
    ISSN: 0362-546X
    Language: English
    Publisher: Elsevier BV
    Publication Date: 2009
    detail.hit.zdb_id: 1467467-1
    SSG: 17,1
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  • 12
    Online Resource
    Online Resource
    Vilnius Gediminas Technical University ; 2009
    In:  Mathematical Modelling and Analysis Vol. 14, No. 4 ( 2009-12-31), p. 483-494
    In: Mathematical Modelling and Analysis, Vilnius Gediminas Technical University, Vol. 14, No. 4 ( 2009-12-31), p. 483-494
    Abstract: Optimal control theory is applied to a sex‐structured HIV/AIDS model with condom use as an intervention strategy. An objective functional to maximise condom use in a population and minimise cases of infectious HIV is adopted. The optimal control is characterised and solved numerically. Simulation results suggest that high percentage of condom usage is associated with reduced HIV incidence, while high costs of condom usage campaigns reduces the percentage condom usage. Targeting issuance of condoms to infectious individuals enables reduction of condom usage campaign costs, hence ensures high percentage of condom usage.
    Type of Medium: Online Resource
    ISSN: 1392-6292 , 1648-3510
    Language: Unknown
    Publisher: Vilnius Gediminas Technical University
    Publication Date: 2009
    detail.hit.zdb_id: 2578803-6
    SSG: 11
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  • 13
    Online Resource
    Online Resource
    World Scientific Pub Co Pte Ltd ; 2010
    In:  Journal of Biological Systems Vol. 18, No. 02 ( 2010-06), p. 357-375
    In: Journal of Biological Systems, World Scientific Pub Co Pte Ltd, Vol. 18, No. 02 ( 2010-06), p. 357-375
    Abstract: Primary prevention measures designed to alter susceptibility and/or reduce exposure of susceptible individuals to diseases, remain the mainstay in the fight against HIV/AIDS. A model for HIV/AIDS, that investigates the reduction in infection by advocating for sexual behavior change through public-health information campaigns and withdrawal of individuals with AIDS from sexual activity is proposed and analyzed. The contact rate is modeled using an incidence function with saturation that depends on the number of infectives. The dynamics of the model is determined using the model reproduction number [Formula: see text]. Numerical simulations are presented to illustrate the role of some key epidemiological parameters. The results from the study demonstrate that an increase in the rate of dissemination of effective public-health information campaigns results in a decrease in the prevalence of the disease. Similarly, an increase in the fraction of individuals with AIDS who withdraw from sexual activities reduces the burden of the disease.
    Type of Medium: Online Resource
    ISSN: 0218-3390 , 1793-6470
    Language: English
    Publisher: World Scientific Pub Co Pte Ltd
    Publication Date: 2010
    detail.hit.zdb_id: 2026740-X
    SSG: 12
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  • 14
    Online Resource
    Online Resource
    Hindawi Limited ; 2010
    In:  Computational and Mathematical Methods in Medicine Vol. 11, No. 3 ( 2010), p. 201-222
    In: Computational and Mathematical Methods in Medicine, Hindawi Limited, Vol. 11, No. 3 ( 2010), p. 201-222
    Abstract: A deterministic compartmental sex-structured HIV/AIDS model for assessing the effects of homosexuals and bisexuals in heterosexual settings in which homosexuality and bisexuality issues have remained taboo is presented. We extend the model to focus on the effects of condom use as a single strategy approach in HIV prevention in the absence of any other intervention strategies. Initially, we model the use of male condoms, followed by incorporating the use of both the female and male condoms. The model includes two primary factors in condom use to control HIV which are condom efficacy and compliance. Reproductive numbers for these models are computed and compared to assess the effectiveness of male and female condom use in a community. We also extend the basic model to consider the effects of antiretroviral therapy as a single strategy. The results from the study show that condoms can reduce the number of secondary infectives and thus can slow the development of the HIV/AIDS epidemic. Further, we note from the study that treatment of AIDS patients may enlarge the epidemic when the treatment drugs are not 100% effective and when treated AIDS patients indulge in risky sexual behaviour. Thus, the treatment with amelioration of AIDS patients should be accompanied with intense public health educational programs, which are capable of changing the attitude of treated AIDS patients towards safe sex. It is also shown from the study that the use of condoms in settings with the treatment may help in reducing the number of secondary infections thus slowing the epidemic.
    Type of Medium: Online Resource
    ISSN: 1748-670X , 1748-6718
    Language: English
    Publisher: Hindawi Limited
    Publication Date: 2010
    detail.hit.zdb_id: 2256917-0
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  • 15
    Online Resource
    Online Resource
    Vilnius University Press ; 2011
    In:  Nonlinear Analysis: Modelling and Control Vol. 16, No. 4 ( 2011-12-07), p. 415-434
    In: Nonlinear Analysis: Modelling and Control, Vilnius University Press, Vol. 16, No. 4 ( 2011-12-07), p. 415-434
    Abstract: We present an intra-host mathematical model of malaria that describes the interaction of the immune system with the blood stage malaria merozoites. The model is modified by incorporating the effects of malaria drugs that target blood stage parasites. The optimal control represents a percentage effect of the chemotherapy of chloroquine in combination with chlorpheniramine on the reproduction of merozoites in erythrocytes. First we maximise the benefit based on the immune cells, and minimise the systemic cost based on the percentage of chemotherapies given and the population of merozoites. An objective functional to minimise merozite reproduction and treatment systemic costs is then built. The existence and uniqueness results for the optimal control are established. The optimality system is derived and the Runge–Kutta fourth order scheme is used to numerically simulate different therapy efforts. Our results indicate that highly toxic drugs with the compensation of high infection suppression have the potential of yeilding better treatment results than less toxic drugs with less infection suppression potential or high toxic drugs with less infection suppression potential. In addition, we also observed that a treatment protocol with drugs with high adverse effects and with a high potential of merozoite suppression can be beneficial to patients. However, an optimal control strategy that seeks to maximise immune cells has no potential to improve the treatment of blood stage malaria.
    Type of Medium: Online Resource
    ISSN: 2335-8963 , 1392-5113
    Language: Unknown
    Publisher: Vilnius University Press
    Publication Date: 2011
    detail.hit.zdb_id: 2604540-0
    SSG: 11
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  • 16
    Online Resource
    Online Resource
    Elsevier BV ; 2009
    In:  Mathematical and Computer Modelling Vol. 49, No. 9-10 ( 2009-05), p. 1869-1882
    In: Mathematical and Computer Modelling, Elsevier BV, Vol. 49, No. 9-10 ( 2009-05), p. 1869-1882
    Type of Medium: Online Resource
    ISSN: 0895-7177
    Language: English
    Publisher: Elsevier BV
    Publication Date: 2009
    detail.hit.zdb_id: 623054-4
    detail.hit.zdb_id: 2002543-9
    SSG: 17,1
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  • 17
    Online Resource
    Online Resource
    Proceedings of the National Academy of Sciences ; 2012
    In:  Proceedings of the National Academy of Sciences Vol. 109, No. 30 ( 2012-07-24), p. 12213-12218
    In: Proceedings of the National Academy of Sciences, Proceedings of the National Academy of Sciences, Vol. 109, No. 30 ( 2012-07-24), p. 12213-12218
    Abstract: The citrus disease huanglongbing (HLB), associated with an uncultured bacterial pathogen, is threatening the citrus industry worldwide. A mathematical model of the transmission of HLB between its psyllid vector and citrus host has been developed to characterize the dynamics of the vector and disease development, focusing on the spread of the pathogen from flush to flush (a newly developing cluster of very young leaves on the expanding terminal end of a shoot) within a tree. This approach differs from that of prior models for vector-transmitted plant diseases where the entire plant is the unit of analysis. Dynamics of vector and host populations are simulated realistically as the flush population approaches complete infection. Model analysis indicates that vector activity is essential for initial infection but is not necessary for continued infection because infection can occur from flush to flush through internal movement in the tree. Flush production, within-tree spread, and latent period are the most important parameters influencing HLB development. The model shows that the effect of spraying of psyllids depends on time of initial spraying, frequency, and efficacy of the insecticides. Similarly, effects of removal of symptomatic flush depend on the frequency of removal and the time of initiation of this practice since the start of the epidemic. Within-tree resistance to spread, possibly affected by inherent or induced resistance, is a major factor affecting epidemic development, supporting the notion that alternate routes of transmission besides that by the vector can be important for epidemic development.
    Type of Medium: Online Resource
    ISSN: 0027-8424 , 1091-6490
    RVK:
    RVK:
    Language: English
    Publisher: Proceedings of the National Academy of Sciences
    Publication Date: 2012
    detail.hit.zdb_id: 209104-5
    detail.hit.zdb_id: 1461794-8
    SSG: 11
    SSG: 12
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  • 18
    Online Resource
    Online Resource
    Informa UK Limited ; 2012
    In:  Dynamical Systems Vol. 27, No. 2 ( 2012-06), p. 145-160
    In: Dynamical Systems, Informa UK Limited, Vol. 27, No. 2 ( 2012-06), p. 145-160
    Type of Medium: Online Resource
    ISSN: 1468-9367 , 1468-9375
    Language: English
    Publisher: Informa UK Limited
    Publication Date: 2012
    detail.hit.zdb_id: 2048395-8
    SSG: 11
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  • 19
    Online Resource
    Online Resource
    The Royal Society ; 2013
    In:  Philosophical Transactions of the Royal Society B: Biological Sciences Vol. 368, No. 1623 ( 2013-08-05), p. 20120145-
    In: Philosophical Transactions of the Royal Society B: Biological Sciences, The Royal Society, Vol. 368, No. 1623 ( 2013-08-05), p. 20120145-
    Abstract: Malaria eradication involves eliminating malaria from every country where transmission occurs. Current theory suggests that the post-elimination challenges of remaining malaria-free by stopping transmission from imported malaria will have onerous operational and financial requirements. Although resurgent malaria has occurred in a majority of countries that tried but failed to eliminate malaria, a review of resurgence in countries that successfully eliminated finds only four such failures out of 50 successful programmes. Data documenting malaria importation and onwards transmission in these countries suggests malaria transmission potential has declined by more than 50-fold (i.e. more than 98%) since before elimination. These outcomes suggest that elimination is a surprisingly stable state. Elimination's ‘stickiness’ must be explained either by eliminating countries starting off qualitatively different from non-eliminating countries or becoming different once elimination was achieved. Countries that successfully eliminated were wealthier and had lower baseline endemicity than those that were unsuccessful, but our analysis shows that those same variables were at best incomplete predictors of the patterns of resurgence. Stability is reinforced by the loss of immunity to disease and by the health system's increasing capacity to control malaria transmission after elimination through routine treatment of cases with antimalarial drugs supplemented by malaria outbreak control. Human travel patterns reinforce these patterns; as malaria recedes, fewer people carry malaria from remote endemic areas to remote areas where transmission potential remains high. Establishment of an international resource with backup capacity to control large outbreaks can make elimination stickier, increase the incentives for countries to eliminate, and ensure steady progress towards global eradication. Although available evidence supports malaria elimination's stickiness at moderate-to-low transmission in areas with well-developed health systems, it is not yet clear if such patterns will hold in all areas. The sticky endpoint changes the projected costs of maintaining elimination and makes it substantially more attractive for countries acting alone, and it makes spatially progressive elimination a sensible strategy for a malaria eradication endgame.
    Type of Medium: Online Resource
    ISSN: 0962-8436 , 1471-2970
    RVK:
    Language: English
    Publisher: The Royal Society
    Publication Date: 2013
    detail.hit.zdb_id: 1462620-2
    SSG: 12
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  • 20
    Online Resource
    Online Resource
    Springer Science and Business Media LLC ; 2010
    In:  Nature Communications Vol. 1, No. 1 ( 2010-11-02)
    In: Nature Communications, Springer Science and Business Media LLC, Vol. 1, No. 1 ( 2010-11-02)
    Type of Medium: Online Resource
    ISSN: 2041-1723
    Language: English
    Publisher: Springer Science and Business Media LLC
    Publication Date: 2010
    detail.hit.zdb_id: 2553671-0
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