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Computer Methods in Biomechanics and Biomedical Engineering Volume 26, 2023 - Issue 11
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Research Article

Modeling the transmission phenomena of water-borne disease with non-singular and non-local kernel

Wejdan Deebania Department of Mathematics, College of Science & Arts, King Abdulaziz University, Rabigh, Saudi ArabiaORCID Iconhttps://orcid.org/0000-0001-5022-2558
ORCID Icon,
Rashid Janb Department of Mathematics, University of Swabi, Swabi, Pakistan
,
Zahir Shahc Department of Mathematical Sciences, University of Lakki Marwat, Lakki Marwat, PakistanORCID Iconhttps://orcid.org/0000-0002-5539-4225
ORCID Icon,
Narcisa Vrinceanud Department of Industrial Machines and Equipments, Lucian Blaga University of Sibiu, Sibiu, RomaniaCorrespondence[email protected]
ORCID Iconhttps://orcid.org/0000-0002-7505-9731
ORCID Icon &
Mihaela Racheriue Medicine Faculty, Lucian Blaga University of Sibiu, Sibiu, Romania;f Department of Clinical Surgery, Cty Clin Emergency Hosp, Sibiu, Romania
Pages 1294-1307 | Received 31 May 2022, Accepted 11 Aug 2022, Published online: 25 Aug 2022

References

  • Spear RC, Hubbard A, Liang S, Seto E. 2002. Disease transmission models for public health decision making: toward an approach for designing intervention strategies for Schistosomiasis japonica. Environ Health Perspect. 110(9):907–915.
  • Adenowo AF, Oyinloye BE, Ogunyinka BI, Kappo AP. 2015. Impact of human schistosomiasis in sub-Saharan Africa. Braz J Infect Dis. 19(2):196–205.
  • Atangana A, Baleanu D. 2016. New fractional derivatives with nonlocal and non-singular kernel: theory and application to heat transfer model. Therm Sci. 20(2):763–769.
  • Barsoum RS, Esmat G, El-Baz T. 2013. Human schistosomiasis: clinical perspective. J Adv Res. 4(5):433–444.
  • Chiyaka ET, Magombedze G, Mutimbu L. 2010. Modelling within host parasite dynamics of schistosomiasis. Comput Math Methods Med. 11(3):255–280.
  • Das S. 2011. Functional fractional calculus. Berlin: Springer.
  • Gao FH, Abe EM, Li SZ, Zhang LJ, He JC, Zhang SQ, Wang TP, Zhou XN, Gao J. 2014. Fine scale Spatial-temporal cluster analysis for the infection risk of Schistosomiasis japonica using space-time scan statistics. Parasit Vectors. 7(1):578.
  • Ismail HAHA, Hong S-T, Babiker ATEB, Hassan RMAE, Sulaiman MAZ, Jeong H-G, Kong W-H, Lee S-H, Cho H-I, Nam H-S, et al. 2014. Prevalence, risk factors, and clinical manifestations of schistosomiasis among school children in the White Nile River basin, Sudan. Parasit Vectors. 7(1):478.
  • Kabatereine N, Fleming F, Thuo W, Tinkitina B, Tukahebwa EM, Fenwick A. 2014. Community perceptions, attitude, practices and treatment seeking behaviour for schistosomiasis in L. Victoria islands in Uganda. BMC Res Notes. 7(1):1–11.
  • Kheir MM, Eltoum IA, Saad AM, Ali MM, Baraka OZ, Homeida MM. 1999. Mortality due to schistosomiasis mansoni: a field study in Sudan. Am J Trop Med Hyg. 60(2):307–310.
  • Lee YH, Jeong HG, Kong WH, Lee SH, Cho HI, Nam HS, Ismail H, Alla GNA, Oh CH, Hong ST. 2015. Reduction of urogenital schistosomiasis with an integrated control project in Sudan. PLoS Negl Trop Dis. 9(1):e3423.
  • Liu R, Dong HF, Guo Y, Zhao QP, Jiang MS. 2011. Efficacy of praziquantel and artemisinin derivatives for the treatment and prevention of human schistosomiasis: a systematic review and meta-analysis. Parasit Vectors. 4(1):201–217.
  • Macdonald G. 1965. The dynamics of helminth infections, with special reference to schistosomes. Trans R Soc Trop Med Hyg. 59(5):489–506.
  • Pandey P, Singh J. 2022. An efficient computational approach for nonlinear variable order fuzzy fractional partial differential equations. Comp Appl Math. 41(1):1–21.
  • Ross B. 1977. The development of fractional calculus 1695–1900. Hist Math. 4(1):75–89.
  • Schistosomiasis FSN. 2016. World Health Organization [accessed 2016 November]. Available at http://www.who.int/mediacentre/facesheets/fs115/en/index.html.
  • Singh J, Ganbari B, Kumar D, Baleanu D. 2021. Analysis of fractional model of guava for biological pest control with memory effect. J Adv Res. 32:99–108.
  • Singh J, Gupta A, Baleanu D. 2022. On the analysis of an analytical approach for fractional Caudrey-Dodd-Gibbon equations. Alex Eng J. 61(7):5073–5082.
  • Singh J, Kumar D, Baleanu D. 2020. A new analysis of fractional fish farm model associated with Mittag-Leffler-type kernel. Int J Biomath. 13(02):2050010.
  • Toufik M, Atangana A. 2017. New numerical approximation of fractional derivative with non-local and non-singular kernel: application to chaotic models. Eur Phys J Plus. 132(10):444.
  • Walz Y, Wegmann M, Dech S, Raso G, Utzinger J. 2015. Risk profiling of schistosomiasis using remote sensing: approaches, challenges and outlook. Parasites Vectors. 8(1):1–16.

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