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ISSN:2164-6457 (print)
ISSN:2164-6473 (online)
Journal of Applied Nonlinear Dynamics
Miguel A. F. Sanjuan (editor), Albert C.J. Luo (editor)
Miguel A. F. Sanjuan (editor)

Department of Physics, Universidad Rey Juan Carlos, 28933 Mostoles, Madrid, Spain

Email: miguel.sanjuan@urjc.es

Albert C.J. Luo (editor)

Department of Mechanical and Industrial Engineering, Southern Illinois University Ed-wardsville, IL 62026-1805, USA

Fax: +1 618 650 2555 Email: aluo@siue.edu

Mathematical and Sensitivity Analysis of Taeniasis and Cysticercosis Transmission Dynamics

Journal of Applied Nonlinear Dynamics 15(2) (2026) 457--490 | DOI:10.5890/JAND.2026.06.014

Chinwendu Emilian Madubueze, Isaac Obiajulu Onwubuya

Department of Mathematics, Joseph Sarwuan Tarka University, Makurdi, Benue State, Nigeria

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Abstract

Taeniasis and cysticercosis are recognized as neglected tropical diseases (NTDs) that impact both humans and animals. The pork tapeworm, Taenia solium, is responsible for about $30\%$ of epilepsy cases in endemic areas, and this figure can reach $70\%$ in high-risk communities. Due to the significant disease burden, this research focuses on analyzing the transmission dynamics of these diseases through a deterministic mathematical model. The model integrates human and pig populations, Taenia eggs in the environment, and infected pork. The basic reproduction number, $R_0$, is calculated by applying the next-generation method, revealing that the disease-free equilibrium is stable when $R_0 < 1$, and the endemic equilibrium is stable when $R_0 > 1$. Using Latin Hypercube Sampling (LHS) and Partial Rank Correlation Coefficient (PRCC) techniques, sensitivity analysis is performed to identify the key parameters influencing the infected populations and the reproduction number. The findings indicate that factors such as human infection probability, the rate of shedding by infected individuals, pig slaughtering rates, transmission between pigs, consumption of undercooked pork, pig mortality, the proportion of unconsumed infected pork, and the decay of Taenia eggs in the environment are crucial in driving or controlling the spread of diseases. Based on numerical simulations, several policy recommendations are made, including promoting hygiene and sanitation, inspecting pork meat, ensuring proper cooking, providing sanitation facilities, banning open pig farming, and treating infected individuals to prevent further transmission of taeniasis and cysticercosis.

References

  1. [1]  CDC - Taeniasis. www.cdc.gov. 12 June 2023. Retrieved 26 April 24.
  2. [2]  World Health Organization: Taeniasis/Cysticercosis Fact sheet 2022. https://www.who.int/news-room/fact-sheets/detail/taeniasis-cysticercosis. Retrieved 26 April 24.
  3. [3]  World Health Organization (2015), WHO estimates of the global burden of foodborne diseases: foodborne disease burden epidemiology reference group 2007–2015, World Health Organization, http://www.who.int/iris/handle/10665/199350.
  4. [4]  Symeonidou, I. (2018), Human taeniasis/cysticercosis: a potentially emerging parasitic disease in Europe, Annals of Gastroenterology, 31, 406--412.
  5. [5]  Alemneh, T. and Adem, T. (2017), Mini review on bovine cysticercosis, Archives of Veterinary Science and Technology, 2, 1--9.
  6. [6]  Mwasunda, J.A., Irunde, J.I., Kajunguri, D., and Kuznetsov, D. (2022), Optimal control analysis of Taenia saginata bovine cysticercosis and human taeniasis, Parasite Epidemiology and Control, 16, e00236.
  7. [7]  Trevisan, C., Devleesschauwer, B., Schmidt, V., Winkler, A.S., Harrison, W., and Johansen, M.V. (2017), The societal cost of Taenia solium cysticercosis in Tanzania, Acta Tropica, 165, 141--154.
  8. [8]  Dermauw, V., Dorny, P., Braae, U.C., Devleesschauwer, B., Robertson, L.J., Saratsis, A., and Thomas, L.F. (2018), Epidemiology of Taenia saginata taeniasis/cysticercosis: a systematic review of the distribution in southern and eastern Africa, Parasites $\&$ Vectors, 11(1), 1--12.
  9. [9]  Weka, R., Luka, P., Ogo, N., and Weka, P. (2020), Taenia solium cysticercosis in pigs and human: a review of epidemiological data in West Africa (1990–2019).
  10. [10]  Flisser, A., Avila, G., Maravilla, P., Mendlovic, F., Leon-Cabrera, S., Cruz-Rivera, M., Garza, A., Gomez, B., Aguilar, L., Teran, N., Velasco, S., Benitez, M., and Jimenez-Gonzalez, D.E. (2010), Taenia solium: current understanding of laboratory animal models of taeniasis, Parasitology, 137(3), 347--357.
  11. [11]  Mayta, H. (2009), Cloning and characterization of two novel Taenia solium antigenic proteins and applicability to the diagnosis and control of taeniasis/cysticercosis, pp. 4--12.
  12. [12]  Thomas, L.F. (2015), Landscape analysis: control of Taenia solium, World Health Organization.
  13. [13]  Winskill, P., Harrison, W.E., French, M.D., Dixon, M.A., Abela-Ridder, B., and Basanez, M.G. (2017), Assessing the impact of intervention strategies against Taenia solium cysticercosis using the EPICYST transmission model, Parasites $\&$ Vectors, 10(1), 1--14.
  14. [14]  Flisser, A., Gauci, C.G., Zoli, A., Martinez-Ocana, J., Garza-Rodriguez, A., Dominguez-Alpizar, J.L., et al. (2004), Induction of protection against porcine cysticercosis by vaccination with recombinant oncosphere antigens, Infection and Immunity, 72(9), 5292--5297.
  15. [15]  Gonzalez, A.E., Gauci, C.G., Barber, D., Gilman, R.H., Tsang, V.C.W., Garcia, H.H., et al. (2005), Vaccination of pigs to control human neurocysticercosis, American Journal of Tropical Medicine and Hygiene, 72(6), 837--839.
  16. [16]  Lightowlers, M.N. (2010), Eradication of Taenia solium cysticercosis: a role for vaccination of pigs, International Journal for Parasitology, 40(10), 1183--1192.
  17. [17]  Sciutto, E., Morales, J., Martinez, J.J., Toledo, A., Villalobos, M.N., Cruz-Revilla, C., et al. (2007), Further evaluation of the synthetic peptide vaccine S3Pvac against Taenia solium cysticercosis in pigs in an endemic town of Mexico, Parasitology, 134(1), 129--133.
  18. [18]  Tilahum, G.T., Oluwole, D.M., and David, M. (2017), Modelling and optimal control of typhoid fever disease with cost effective strategies, Computational and Mathematical Methods in Medicine, doi:10.1155/2017/2324518.
  19. [19]  Zaman, G., Jung, H.I., Torres, F.M.D., and Zeb, A. (2017), Mathematics modelling and control of infectious disease, Computational and Mathematical Methods in Medicine, 7149154.
  20. [20]  Gonzalez, A.E., Gilman, R.H., Garcia, H.H., and Lopez, T. (2002), Use of a simulation model to evaluate control programmes against Taenia solium cysticercosis, In: Taenia Solium Cysticercosis: From Basic to Clinical Science, CAB International, Wallingford, 437--448.
  21. [21]  Jose, M.V., Bobadilla, J.R., Sanchez-Torres, N.Y., and Laclette, J.P. (2018), Mathematical model of the life cycle of taenia-cysticercosis: transmission dynamics and chemotherapy (Part 1), Theoretical Biology and Medical Modelling, 15(1), 1--19.
  22. [22]  Kyvsgaard, N.C., Johansen, M.V., and Carabin, H. (2007), Simulating transmission and control of Taenia solium infections using a Reed-Frost stochastic model, International Journal for Parasitology, 37(5), 547--558.
  23. [23]  Rwabona, G.E., Masanja, V.G., Mfinanga, S., Degoot, A., and Mirau, S. (2024), A mathematical model for transmission of taeniasis and neurocysticercosis, Computational and Mathematical Methods, Article ID 2550598, 14 pages, doi:10.1155/2024/2550598.
  24. [24]  Sanchez-Torres, N.Y., Bobadilla, J.R., Laclette, J.P., and Jose, M.V. (2019), How to eliminate taeniasis/cysticercosis: porcine vaccination and human chemotherapy (Part 2), Theoretical Biology and Medical Modelling, 16(1), 4.
  25. [25]  Ghosh, S., Volpert, V., and Banerjee, M. (2022), An epidemic model with time-distributed recovery and death rates, Bulletin of Mathematical Biology, 84(8), 78.
  26. [26]  Github: https://github.com/mrc-ide/COVID19 CFR submission (2022).
  27. [27]  Verity, R., Okell, L.C., Dorigatti, I., Winskill, P., Whittaker, C., Imai, N., Cuomo-Dannenburg, G., Thompson, H., Walker, P.G.T., Fu, H., and Dighe, A. (2020), Estimates of the severity of coronavirus disease 2019: a model-based analysis, Lancet Infectious Diseases, 20, 669--677.
  28. [28]  Mwasunda, J.A., Irunde, J.I., Kajunguri, D., and Kuznetsov, D. (2021), Modeling and analysis of taeniasis and cysticercosis transmission dynamics in humans, pigs and cattle, Advances in Difference Equations, 2021, 176.
  29. [29]  Wang, K., Zhang, X., Jin, Z., Ma, H., Teng, Z., and Wang, L. (2013), Modelling and analysis of the transmission of echinococcosis with application to Xinjiang Uygur autonomous region of China, Journal of Theoretical Biology, 333, 78--90.
  30. [30]  Birkhoff, G. and Rota, G.C. (1978), Ordinary Differential Equations, 3rd edn, Wiley, New York, 342 pages.
  31. [31]  Madubueze, C.E., Onwubuya, I.O., Nkem, G.N., Gbadebo, A.D., and James, E. (2023), Sensitivity analysis of onchocerciasis transmission dynamics, IAENG International Journal of Applied Mathematics, 53(2), June 2023.
  32. [32]  Van den Driessche, P. and Watmough, J. (2002), Reproduction numbers and sub-threshold endemic equilibrium for compartmental models of disease transmission, Mathematical Biosciences, 180, 29--48.
  33. [33]  Diekmann, O., Heesterbeek, J.A.P., and Roberts, M.G. (2010), The construction of next-generation matrices for compartmental epidemic models, Journal of the Royal Society Interface, 7, 873--885.
  34. [34]  Castillo-Chavez, C., Feng, Z., and Huang, W. (2002), On the computation of \(R_0\) and its role on global stability, In: Mathematical Approaches for Emerging and Re-emerging Infectious Diseases: An Introduction, IMA Vol. Math. Appl., 125, Springer, New York, 229--250.
  35. [35]  Castillo-Chavez, C. and Song, B. (2004), Dynamical models of tuberculosis and their applications, Mathematical Biosciences and Engineering, 1(2), 361--404.
  36. [36]  Wei, Y., Cao, J., Chen, Y., and Wei, Y. (2022), The proof of Lyapunov asymptotic stability theorems for Caputo fractional order systems, Applied Mathematics Letters, 129, 107961.
  37. [37]  Yuan, R.S., Yi-AnMa, B.Y., and Ao, P. (2013), Lyapunov function as potential function: a dynamical equivalence, Chinese Physics B, 23(1), 010505.
  38. [38]  LaSalle, J.P. (1976), The Stability of Dynamical Systems, SIAM, Philadelphia, Vol. 25.
  39. [39]  Mwasunda, J.A., Irunde, J.I., Kajunguri, D., and Kuznetsov, D. (2021), Optimal control and cost-effectiveness analysis of taeniasis and cysticercosis in humans, pigs and cattle, Communications in Mathematical Biology and Neuroscience, 2021, 83.
  40. [40]  Ofosuhene, O.A., Mark, E.A., and Kakan, V. (2020), Using stochastic dynamic modelling to estimate the sensitivity of current and alternative surveillance program of Salmonella in conventional broiler production, Scientific Reports, 10, 19441.
  41. [41]  Osman, S., Otoo, D., and Sebil, C. (2020), Analysis of listeriosis transmission dynamics with optimal control, Applied Mathematics, 11(7), 712--737.
  42. [42]  Blower, S.M. and Dowlatabadi, H. (1994), Sensitivity and uncertainty analysis of complex models of disease transmission: an HIV model, as an example, International Statistical Review, 62, 229--243.
  43. [43]  Kassa, S.M., Njagarah, J.B., and Terefe, Y.A. (2020), Analysis of the mitigation strategies for COVID-19: from mathematical modelling perspective, Chaos, Solitons $\&$ Fractals, 138, 109968.
  44. [44]  Onwubuya, I.O., Nkem, G.N., Tindi, N., and Madubueze, C.E. (2023), Optimal control analysis of onchocerciasis transmission model, International Journal of Mathematical Analysis and Modelling, 6(1), 12--29.
  45. [45]  World Health Organization (2005), WHO/FAO/OIE Guidelines for the Surveillance, Prevention and Control of Taeniasis/Cysticercosis, World Organisation for Animal Health, Paris.
  46. [46]  World Health Organization (2020), Ending the Neglect to Attain the Sustainable Development Goals: A Road Map for Neglected Tropical Diseases 2021–2030, WHO, Geneva, Switzerland, 63 pp. https://www.who.int/neglected-diseases/WHONTD-roadmap-2030/en/

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