پیوندهای مفید
آمار
| تعداد نشریات | 21 |
| تعداد شمارهها | 702 |
| تعداد مقالات | 10,100 |
| تعداد مشاهده مقاله | 71,347,470 |
| تعداد دریافت فایل اصل مقاله | 63,061,239 |
Mathematical modeling of co-infections of hepatitis A viral disease and typhoid fever with optimal control strategies | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 75، دوره 13، شماره 2، مهر 2022، صفحه 899-921 اصل مقاله (957.5 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.21134.2237 | ||
| نویسندگان | ||
| Mamo Shigute Wameko؛ Purnachandra Rao Koya* ؛ Alemu Geleta Wedajo* | ||
| Wollega University, Ethiopia | ||
| تاریخ دریافت: 29 مرداد 1399، تاریخ بازنگری: 03 دی 1399، تاریخ پذیرش: 06 دی 1399 | ||
| چکیده | ||
| In this study, a mathematical model with optimal control measures was used to investigate the transmission dynamics of co-infection of hepatitis A virus and typhoid fever. A deterministic compartmental model was used and an analysis of the effect of various control measures was compared. The pathogen fitness that represents the epidemic indicator is obtained by using the next-generation matrix. We have shown the existence of two equilibrium states: the disease-free steady state in which there are no populations that are infected by the co-infection of hepatitis A virus and typhoid fever, the endemic state in which a co-infected population exists and is capable of transmitting the disease. The local and global stability conditions of the endemic equilibrium points were also proved. Further, it was proved that the co-infection of the model exhibited a backward bifurcation. Finally, a numerical simulation of the model was made and it reveals that prevention has a significant impact in reducing the transmission of the co-infection and applying all the control measures can successfully eliminate co-infection of hepatitis virus and typhoid fever from the community. | ||
| کلیدواژهها | ||
| Mathematical model؛ co-infections؛ Hepatitus A Virus؛ typhoid fever؛ Basic reproduction number؛ Simulations | ||
| مراجع | ||
|
[1] G.L. Armstrong and B.P. Bell Hepatitis A virus infections in the United States: model-based estimates and implications for childhood immunization Amer. Acad. Pediat. 109 (2002), no. 5, 839–845. [2] M.K. Bhan, R. Bahl and S. Bhatnagar, Typhoid and paratyphoid fever, Lancet 366 (2005), 749—762. [3] D. Bhat, G.S. Dhooria and H.S. Bains, Co-infection of hepatitis A and E with Salmonella infection; A case report, Iran. J. Pediatr. 9 (2009), no. 1, 79–81. [4] V. Demicheli, The effectiveness and safety of hepatitis A vaccine: A systematic review, Vaccine 21 (2003), no. 19-20, 2242–2245. [5] C. Castillo-Chavez and B. Song, Dynamical model of tuberculosis and their applications, Math. Biosci. Eng. 1 (2004), 361—404. [6] G. Dougan and S. Baker, Salmonella enterica serovar typhi and the pathogenesis of typhoid fever, Annu. Rev. Microbio. 68 (2014), 317—36. [7] H.M. El-Newihi, M.E. Alamy and T.B. Reynolds, Salmonella hepatitis: analysis of 27 cases and comparison with acute viral hepatitis, Hepatology 24 (1996), 516–519. [8] W.H. Fleming and R.W. Rishel, Deterministic and stochastic optimal control, Springer Newyork, 1982. [9] M. Gambatese, D. Marder, E. Begier, A. Gutkovich, R. Mos, A. Griffin, R. Zimmerman and A. Madsen, Programmatic impact of 5 years of mortality surveillance of New York City homeless populations, Amer. J. Public Health 103 (2013), no. S2, S193–S198. [10] T.A. Hoffman, C.J. Ruiz, G.W. Counts, J.M. Sachs and J.L. Nitzkin, Waterborne typhoid fever in Dade County, Florida: Clinical and therapeutic evaluations of 105 bacteremic patients, Amer. J. Med. 59 (1975), 481–487. [11] J.P. LaSalle, The stability of dynamical system, SIAM 30 (1976), 36–24. [12] R. Morgenstern and P.C. Hayes, The liver in typhoid fever: always affected, not just a complication, Amer. J. Gastroenterol 86 (1991), 1235–1239. [13] N.P. Nelson, R. Link-Gelles, M.G. Hofmeister, J.R. Romero, K.L. Moore, J.W. Ward and S.F. Schillie, Update:Recommendations of the advisory committee on immunization practices for use of hepatitis A vaccine for postexposure prophylaxis and for preexposure prophylaxis for international travel, MMWR Morb Mortal Wkly Rep. [14] L.S. Pontryagin, Mathematical theory of optimal processes, Wiley Newyork, 1986. [15] Public Health England, Public health control and management of hepatitis A, Guidelines, 2017. [16] S. Ramachandran, J.J. Godfrey and M.V.F. Perera, Typhoid hepatitis, JAMA 230 (1974), no. 2, 236–240. [17] G.T. Tilahun, O.D. Makinde and D. Malonza, Modelling and optimal control of typhoid fever disease with cost effective strategies, Comput. Math. Meth. Med. 2017 (2017). [18] M.S. Wameko, Mathematical model for the transmission dynamics of hepatitus C virus with optimal control strategies, Int. J. Math. Modell. Comput. 9 (2019), no. 3, 213–237. | ||
|
آمار تعداد مشاهده مقاله: 44,912 تعداد دریافت فایل اصل مقاله: 50,945 |
||