The Role of Non-pharmacological Interventions on the Dynamics of Schistosomiasis
Keywords:basic reproduction number, cercariae, miracidia, public health education, schistosomiasis, snail control
Schistosomiasis is a neglected tropical disease affecting communities surrounded by water bodies where fishing activities take place or people go to swim, wash and cultivate crops. It poses a great risk to the health and economic life of inhabitants of the area. This study was carried out to evaluate the impact of public health education and snail control measures on the incidence of schistosomiasis. A model was developed with attention given to the snail and human populations that are the hosts of the cercariae and miracidia respectively. The existence and stability of disease-free and endemic equilibrium states were established. The disease-free and endemic equilibrium states were shown to be locally asymptotically stable whenever the basic reproduction number was less than unity. Numerical simulations of the model were carried out to evaluate the impact of interventions (public health education and snail control measures) on schistosomiasis transmission. It was observed that the implementation of low coverage snail control with highly efficacious molluscicide and massive public health education will make the basic reproduction number smaller than unity, which implies the eradication of schistosomiasis in the population.
Oliveira-Prado, R., Cabral, M.A., Kamphorst, S.O., Pinto-de-Carvalho, S.O., Correa-Oliveira, R. & Gazzinelli, A., Modeling the Prevalence of Schistosoma Mansoni Infection in an Epidemic Population, preprint, arXiv:1702.05083vl [q-bio-PE], 2017.
Omar, H.H., Impact of Chronic Schistosomiasis and HBV/HCV Co-infection on the Liver: Current Perspectives, Hepatic Medicine: Evidence and Research, 11, pp. 131-136, 2019.
Ahmed, S.H., Schistosomiasis (Bilharzia) Treatment and Management, https://emedicine.medscape.com/article/228392-treatment, 22 December 2020.
Chiyaka, E.T. & Garira, W., Mathematical Analysis of the Transmission Dynamics of Schistosomiasis in the Human-Snail Hosts, Journal of Biological Systems, 17(3), pp. 397-423, 2009.
Inobaya, T. M., Olveda, R.M., Chau, T.N.P., Olveda, D.U. & Ross, A.G.P., Prevention and Control of Schistosomiasis: A Current Perspective, Research and Reports in Tropical Medicine, 5, pp. 65-75, 2014. DOI:10.2147/RRTM.S44274
WHO, Schistosomiasis, https://www.who.int/news-room/fact-sheets/detail/schistosomiasis, 22 December 2020.
Gurarie, D. Yoon, N., Li, E., Ndeffo-Mbah, M., Durham, D., Phillips, A.E. Aurelio, H.O., Fervo, J., Galvani, A.P. & King. C.H., Modelling Control of Schistosoma haematobium Infection: Predictions of the Long Term Impact of Mass Drug Administration in Africa, Parasites & Vectors, 8, Article, 529. doi:10.1186/s13071-015-1144-3
WHO, Schistosomiasis: Field Use of Molluscicides in Schistosomiasis Control Programmes: An Operational Manual for Programme Managers. Geneva: World Health Organisation, https://www.int/schistosomiasis/resources/9789241511995/en/, 2017.
Sacolo, H., Chimbari, M. & Kalinda, C., Knowledge, Attitudes and Practices on Schistosomiasis in Sub-Saharan Africa: A Systematic Review, BMC Infectious Diseases, 18, 46, 2018. DOI: 10.1186/s12879-017-2923-6
Khan M.A., Saddiq, S.F., Islam, S. & Shafie S., Dynamic Behaviour of Leptospirosis Disease with Saturated Incidence Rate, International Journal of Applied and Computation Mathematics, 2, pp. 435-452, 2016. DOI:10.1007/s40819-015-0102-2
Yavuz, M. & Bonyah, E. New Approaches to the Fractional Dynamics of Schistosomiasis Disease Model, Physica A, 525, pp. 373-393, 2019.
Ishikawa, H. Ohmae H., Pangilinan, R, Redulla, A. & Matsuda, H., Modelling the Dynamics and Control of Schistosoma Japonicum Transmission on Bohol Island, the Philippines, Parasitol Int, 55(1), pp. 23-29, 2008. doi:10.1016/j.parint.2005-09.001
Chiyaka, E.T., Magombedze, G. & Mutimbu, L., Modelling within Host Parasite Dynamics of Schistosomiasis, Computational and Mathematical Methods in Medicine, 11(3), pp. 255-280, 2010.
Guiro, A., Ouaro, S. & Traore A., Stability Analysis of a Schistosomiasis Model with Delays, Advances in Difference Equations, 303(2013), 2013. doi:10.1186/1687-1847-2013-303
Li, Y., Teng, Z., Ruan, S., Li, M. & Feng, X., A Mathematical Model for the Seasonal Transmission of Schistosomiasis in the Lake and Marshland Regions of China, Mathematical Biosciences and Engineering, 14(5&6), pp. 1279-1299, 2017. DOI: 10.3934/mbe.2017066
Diaby, M., Iggidr, A., Sy, M. & Sene, A., Global Analysis of Schistosomiasis Infection Model with Biological Control, Applied Mathematics and Computation, 246, pp. 731-742, 2014.
Musa, S., Bello, N. & Umar, A., Mathematical Modelling of the Transmission Dynamics, Control and Vaccination of Schistosomiasis with a Variable Population Size, Bayero Journal of Pure and Applied Science, 12(1), pp. 70-80, 2019. DOI: 10.4314/bajopas.v12i1.10
Ronoh, M., Chirove, F., Perdro, S.A., Tchamga, S.S.M., Madubueze, C.E., Madubueze, S.C., Addawe, J., Mwamtobe, P.M. & Mbra, K.R., Modelling the Spread of Schistosomiasis in Humans with Environmental Transmission. Applied Mathematical Modelling, 95, pp. 159-175, 2021.
Birkhoff, G. & Rota, G., Ordinary Differential Equations, 4th ed., John Wiley and Sons, New York, 1989.
Van den Driessche, P. & Watmough, J., Reproduction Numbers and Sub-threshold Endemic Equilibria for Compartmental Models of Disease Transmission, Mathematical Biosciences, 180, pp. 29-48, 2002.
Bani-Yaghoub, M., Gautam, R., Van den Driessche. P., Shuai, Z. & Ivanek, R., Reproduction Numbers for Infections with Free-living Pathogens Growing in the Environment, Journal of Biological Dynamics, 6, pp. 923-940, 2012.
Madubueze, C.E., Madubueze, S.C. & Ajama, S., Bifurcation and Stability Analysis of the Dynamics of Cholera Model with Controls, International Journal of Mathematical, Computational, Physical, Electrical and Computer Engineering, 9(11), pp. 645-651, 2015.
Heffernan, J.M. Smith, R.J. & Wahl, L.M., Perspectives on the Basic Reproductive Ratio, R. Soc. Interface, 2, pp. 281-293, 2005.
Castillo-Chavez, C. & Song, B., Dynamical Models of Tuberculosis and Their Applications. Math. Biosci. Eng., 1(2), pp. 361- 404, 2004.