Volume 69 | Issue 8 | Year 2023 | Article Id. IJMTT-V69I8P501 | DOI : https://doi.org/10.14445/22315373/IJMTT-V69I8P501
Received | Revised | Accepted | Published |
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06 Jun 2023 | 21 Jul 2023 | 03 Aug 2023 | 18 Aug 2023 |
In this paper, we carried out an elaborate quantitative analysis of the Reproduction Number of the availability and efficacy of control Schistosomiasis model by varying key sensitive parameters. Numerical simulation was also carried using parameter values from literature and the numerical study showed that both high levels of availability and efficacy of controls measures are needed for effective disease control. In particular, it was shown that with a 100% efficacious control measure that prevents transmission from snails to humans (đťś™) as well as from humans to snails (đťś‹) Schistosomiasis may not be controlled with a 50% availability of these control measures. Thus, efficacy as well as availabililty or coverage of the controls should be emphasised. It was also shown that it is more advantageous to have a control that prevents transmission from snails to humans as this does not just result in a reduction of human Schistosomiasis cases but also a reduction in snail Schistosomiasis cases.
[1] Abiola Fatimah Adenowo et al., “Impact of Human Schistosomiasis in Sub-Saharan Africa,” Brazilian Journal of Infectious Diseases, vol. 19, no. 2, pp. 196-205, 2015.
[CrossRef] [Google Scholar] [Publisher Link]
[2] E. J. Allen, and H. D. Victory, “Modelling and Simulation of a Schistosomiasis Infection with Biological Control,” Acta Tropica, vol. 87, no. 2, pp. 251-267, 2003.
[CrossRef] [Google Scholar] [Publisher Link]
[3] Roy M. Anderson, and Robert M. May, “Helminth Infections of Humans: Mathematical Models, Population Dynamics, and Control,” Advances in Parasitology, vol. 24, pp. 1-101, 1985.
[CrossRef] [Google Scholar] [Publisher Link]
[4] Roy M. Anderson, and Robert M. May, “Infectious Diseases of Humans: Dynamics and Control,” Oxford University Press, Oxford, 1992.
[Google Scholar] [Publisher Link]
[5] Center for Disease Control and Prevention (CDC) Website, 2012. [Online]. Available: https://www.cdc.gov/parasites/Schistosomiasis/
[6] Zimin Chen et al., “Mathematical Modelling and Control of Schistosomiasis in Hubei Province, China,” Acta Tropica, vol. 115, no. 1-2, pp. 119-125, 2010.
[CrossRef] [Google Scholar] [Publisher Link]
[7] Edward T. Chiyaka, and Winston Garira, “Mathematical Analysis of the Transmission Dynamics of Schistosomiasis in the Human-Snail Hosts,” Journal of Biological Systems, vol. 17, no. 3, pp. 397-423, 2009.
[CrossRef [Google Scholar] [Publisher Link]
[8] Edward T. Chiyaka, Gesham Magombedze, and Lawrence Mutimbu, “Modelling within Host Parasite Dynamics of Schistosomiasis,” Computational and Mathematical Methods in Medicine, vol. 11, no. 3, pp. 255-280, 2010.
[Google Scholar] [Publisher Link]
[9] Zhilan Feng, Jason Curtis, and Dennis J. Minchella, “The Influence of Drug Treatment on the Maintenance of Schistosome Genetic Diversity,” Journal of Mathematical Biology, vol. 43, pp. 52-68, 2001.
[CrossRef] [Google Scholar] [Publisher Link]
[10] Zhilan Feng, Cheng-Che Li, and Fabio A. Milner, “Schistosomiasis Models with Density Dependence and Age of Infection in Snail Dynamics,” Mathematical Biosciences, vol. 177-178, pp. 271-286, 2002.
[CrossRef] [Google Scholar] [Publisher Link]
[11] Z. Feng et al., “Estimation of Parameters Governing the Transmission Dynamics of Schistosomes,” Applied Mathematics Letters, vol. 17, no. 10, pp. 1105-1112, 2004.
[CrossRef] [Google Scholar] [Publisher Link]
[12] Peter J. Hotez, and Aruna Kamath, “Neglected Tropical Diseases in Subsaharan Africa: Review of Their Prevalence, Distribution, and Disease Burden,” PLoS Neglected Tropical Diseases, vol. 3, no. 8, 2009.
[CrossRef] [Google Scholar] [Publisher Link]
[13] Peter J. Hotez, and John P. Ehrenberg, “Escalating the Global Fight against Neglected Tropical Diseases through Interventions in the Asia Pacific Region,” Advances in Parasitology, vol. 72, pp. 31-53, 2010.
[CrossRef] [Google Scholar] [Publisher Link]
[14] Peter J. Hotez, Oluwatoyin A. Asojo, and Adekunle M. Adesina, “Nigeria: “Ground Zero” for the High Prevalence Neglected Tropical Diseases,” PLoS Neglected Tropical Disease, vol. 6, no. 7, 2012.
[CrossRef] [Google Scholar] [Publisher Link]
[15] Marianette T Inobaya et al., “Prevention and Control of Schistosomiasis: A Current Perspective,” Research and Reports in Tropical Medicine, vol. 5, pp. 65-75, 2014.
[Google Scholar] [Publisher Link]
[16] Song Liang et al., “A Multi-Group Model of Schistosomajaponicum Transmission Dynamics and Control: Model Calibration and Control Prediction,” Tropical Medicine and International Health, vol. 10, no. 3, pp. 263-278, 2005.
[CrossRef] [Google Scholar] [Publisher Link]
[17] Longxing Qi et al., “Mathematical Model of Schistosomiasis under Flood in Anhui Province,” Abstract and Applied Analysis, 2014.
[CrossRef] [Google Scholar] [Publisher Link]
[18] C.J. Luchsinger, “Approximating the Long-Term Behavior of a Model for Parasitic Infection,” Journal of Mathematical Biology, vol. 42, pp. 555-581, 2001.
[CrossRef] [Google Scholar] [Publisher Link]
[19] C. J. Luchsinger, “Stochastic Models of a Parasitic Infection, Exhibiting Three Basic Reproduction Ratios,” Journal of Mathematical Biology, vol. 42, pp. 532-554, 2001.
[CrossRef] [Google Scholar] [Publisher Link]
[20] Mouhamadou Diaby, “Stability Analysis of a Schistosomiasis Transmission Model with Control Strategies,” Biomath, vol. 4, no. 1, 2015.
[CrossRef] [Google Scholar] [Publisher Link]
[21] J. D. Murray, Mathematical Biology, Springer-Verlag, New York, 1993.
[22] S. Mushayabasa, and C. P. Bhunu, “Modeling Schistosomiasis and HIV/AIDS Codynamics,” Computational and Mathematical Methods in Medicine, 2011.
[CrossRef] [Google Scholar] [Publisher Link]
[23] E.T. Ngarakana-Gwasira et al., “Transmission Dynamics of Schistosomiasis in Zimbabwe: A Mathematical and GIS Approach,” Communications in Nonlinear Science and Numerical Simulation, vol. 35, pp. 137-147, 2016.
[CrossRef] [Google Scholar] [Publisher Link]
[24] A. Pellegrinelli, and J. P. Gabriel, “Eradication of Helminthic Infections,” Mathematical Biosciences, vol. 117, no. 1-2, pp. 179-195, 1993.
[CrossRef [Publisher Link]
[25] M. E. J. Woolhouse, “On the Application of Mathematical Models of Schistosome Transmission Dynamics. I. Natural Transmission,” Acta Tropica, vol. 49, no. 4, pp. 241-270, 1991.
[CrossRef] [Google Scholar] [Publisher Link]
[26] P. van den Driessche, and James Watmough, “Reproduction Numbers and Sub-Threshold Endemic Equilibria for Compartmental Models of Disease Transmission,” Mathematical Biosciences, vol. 180, no. 1-2, pp. 29-48, 2002.
[CrossRef] [Google Scholar] [Publisher Link]
[27] The Countrymeter Website, 2016. [Online]. Available: http://countrymeters.info/en/Nigeria/
[28] The UNAIDS-WHO Website, 2004. [Online]. Available: http://www.unaids.org/
[29] The World Health Organization Website, 2017. [Online]. Available: www.who.org/schistosomiasis/factchecks/
[30] Hyun Mo Yang, “Comparison between Schistosomiasis Transmission Modeling Considering Acquired Immunity and Age-Structured Contact Pattern with Infested Water,” Mathematical Biosciences, vol. 184, no. 1, pp. 1-26, 2003.
[CrossRef] [Google Scholar] [Publisher Link]
[31] Lan Zou, and Shigui Ruan, “Schistosomiasis Transmission and Control in China,” Acta Tropica, vol. 143, pp. 51-57, 2015.
[CrossRef] [Google Scholar] [Publisher Link]
[32] O. I. Bada et al., “Mathematical Analysis of Schistosomiasis with Case Detection,” Journal of the Nigerian Association of Mathematical Physics, vol. 59, pp. 75-88, 2021.
[33] Ignatius Imariabe Ako, Rosemary Uwaila Akhaze, and Owin Oghenewaire Olowu, “The Impact of Reduced Re-Infection of Schistosomiasis Transmission Dynamics at Population Level: A Theoretical Study,” Journal of the Nigerian Association of Mathematical Physics, vol. 59, pp. 61-74, 2021.
[34] O. O. Olowu, I. I. Ako, and R. U. Akhaze, “On the Analysis of a two Patch Schistosomiasis Model,” Transactions of the Nigerian Association of Mathematical Physics, vol. 14, pp. 69-78, 2021.
[35] O. O. Olowu, I. I. Ako, and R. U. Akhaze, “Theoretical Study of a two Patch Metapopulation Schistosomiasis Model,” Transactions of the Nigerian Association of Mathematical Physics, vol. 14, pp. 53-68, 2021.
Owin Olowu, Ignatius Ako, "Computational Investigation of the Impact of Availability and Efficacy of Control on the Transmission Dynamics of Schistosomiasis," International Journal of Mathematics Trends and Technology (IJMTT), vol. 69, no. 8, pp. 1-9, 2023. Crossref, https://doi.org/10.14445/22315373/IJMTT-V69I8P501