Prevalence-based modeling approach of schistosomiasis : global stability analysis and integrated control assessment

dc.contributor.authorAziz-Alaoui, M.A.
dc.contributor.authorLubuma, Jean M.-S.
dc.contributor.authorTsanou, Berge
dc.contributor.emailberge.tsanou@up.ac.zaen_ZA
dc.date.accessioned2021-03-04T11:48:18Z
dc.date.issued2021-01
dc.description.abstractA system of nonlinear differential equations is proposed to assess the effects of prevalence-dependent disease contact rate, pathogen’s shedding rates, and treatment rate on the dynamics of schistosomiasis in a general setting. The decomposition techniques by Vidyasagar and the theory of monotone systems are the main ingredients to deal completely with the global asymptotic analysis of the system. Precisely, a threshold quantity for the analysis is derived and the existence of a unique endemic equilibrium is shown. Irrespective of the initial conditions, we prove that the solutions converge either to the disease-free equilibrium or to the endemic equilibrium, depending on whether the derived threshold quantity is less or greater than one. We assess the role of an integrated control strategy driven by human behavior changes through the incorporation of prevalence-dependent increasing the prophylactic treatment and decreasing the contact rate functions, as well as the mechanical water sanitation and the biological elimination of snails. Because schistosomiasis is endemic, the aim is to mitigate the endemic level of the disease. In this regard, we show both theoretically and numerically that: the reduction of contact rate through avoidance of contaminated water, the enhancement of prophylactic treatment, the water sanitation, and the removal of snails can reduce the endemic level and, to an ideal extent, drive schistosomiasis to elimination.en_ZA
dc.description.departmentMathematics and Applied Mathematicsen_ZA
dc.description.embargo2022-01-20
dc.description.librarianhj2021en_ZA
dc.description.sponsorshipThe University of Pretoria Senior Postdoctoral Program Grant.en_ZA
dc.description.urihttps://www.springer.com/journal/40314en_ZA
dc.identifier.citationAziz-Alaoui, M.A., Lubuma, J.MS. & Tsanou, B. Prevalence-based modeling approach of schistosomiasis: global stability analysis and integrated control assessment. Computational and Applied Mathematics 40, 24 (2021). https://doi.org/10.1007/s40314-021-01414-9.en_ZA
dc.identifier.issn0101-8205 (print)
dc.identifier.issn1807-0302 (online)
dc.identifier.other10.1007/s40314-021-01414-9
dc.identifier.urihttp://hdl.handle.net/2263/78947
dc.language.isoenen_ZA
dc.publisherSpringeren_ZA
dc.rights© Springer-Verlag GmbH Germany, part of Springer Nature 2020. The original publication is available at : https://www.springer.com/journal/40314.en_ZA
dc.subjectSchistosomiasisen_ZA
dc.subjectHuman behavioren_ZA
dc.subjectPrevalence-based modelingen_ZA
dc.subjectIntegrated controlen_ZA
dc.subjectMonotone systemen_ZA
dc.subjectGlobal stabilityen_ZA
dc.subjectNumerical simulationsen_ZA
dc.titlePrevalence-based modeling approach of schistosomiasis : global stability analysis and integrated control assessmenten_ZA
dc.typePostprint Articleen_ZA

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