Stability Analysis of the Disease Free Equilibrium of Malaria, Dengue and Typhoid Triple Infection Model
Asian Research Journal of Mathematics,
A Mathematical model of a system of non-linear differential equation is developed to study the transmission dynamics of malaria, dengue and typhoid triple infection. In this work, the basic reproduction number is derived using the Next Generation Matrix, also we computed the disease free equilibrium point. The disease free equilibrium (DFE) point is analyzed and was found that the DFE is locally stable but may be globally unstable when R0 < 1.
- reproduction number
- stability analysis
- disease-free equilibrium.
How to Cite
Ogunmiloro OM. Mathematical modeling of the co-infection dynamics of malaria-toxoplasmosis in the tropics. Biometrical Letters. 2019;56(2):139-163.
World Health Organization (WHO). Fact Sheets, Technical Report on Malaria Disease, Geneva, Switzerland. (Accessed 15-October-2020) Available:https://www.who.int/news-room/fact-sheets/detail/malaria
Garrido-Cardenas JA, Cebrian-Carmona J, Gonzalez-Ceron L, Manzano-Agugliaro F, Mesa-Valle C. Analysis of global research on malaria and Plasmodium vivax. Int. J. Environ. Res. Public Health. 2019;16:1928.
Tchuandom, et al. A cross-sectional study of acute dengue infection in paediatric clinics in Cameroon. BMC Public Health. 2019;1-7.
Otu A, Ebenso B, Etokiden A, Chukwuekezie. Dengue fever – An update and implications for Nigeria. Afri Health Sci. 2019;19(2):2000-2007.
World Health Organization (WHO). Fact Sheets. (Accessed 15-October-2020) Available:https://www.who.int/news-room/fact-sheets/detail/dengue-and-severe-dengue
Atokolo W, Omale D. Sensitivity analysis of a transmission dynamics model for typhoid fever and its control. Journal of the Nigeria Society for Mathematical Biology. 2018;1(1):47–58.
Nthiiri JK. Global stability of equilibrium points of typhoid fever model with protection. British Journal of Mathematics & Computer Science. 2017;21(5):1–6.
World Health Organization (WHO). Fact Sheets. (Accessed 15-October-2020) Available:https://www.who.int/news-room/fact-sheets/detail/typhoid
Amoah-Mensah J, Dontwi IK, Bonyah E. Stability analysis of Zika – malaria co-infection model for malaria endemic region. Journal of Advances in Mathematics and Computer Science. 2018;26(1):1-22.
Aldila D, Agustin MR. A mathematical model of dengue-Chikungunya co-infection in a closed population. J. Phys.: Conf. Ser. 2018;974:012001. DOI: 10.1088/1742-6596/974/1/012001
Bonyah E, Khan MA, Okosun KO, Gomez-Aguilar JF. On the co-infection of dengue fever and zika virus. Optim Control Appl Math. 2019;40:394–421. DOI: 10.1002/oca.2483
Oluwafemi TJ, Akinwande NI, Olayiwola RO, Kuta AF, Azuaba E. Co-infection model formulation to evaluate the transmission dynamics of malaria and dengue fever virus. J. Appl. Sci. Environ. Manage. 2020;24(7):1187-1195.
Suresh V, Krishna V, Raju CHN, Teja PS, Usha V. A rare case of triple infection with dengue, malaria and typhoid- A case report. Int J Res Dev Health. 2013;1(4):200-203.
Deshkar ST, Tore RP, Srikhande SN. Concomitant triple infection of dengue, malaria and enteric fever – A rare case report. Int J Health Sci Res. 2015;5(7):529-535.
Basha SA, Sathiswara B, Siddarama R. Triple infection of dengue, malaria and typhoid: A rare case report in pediatrics. Asian Journal of Research in Pharmaceutical Sciences and Biotechnology. 2017;5(2):38-41.
Amoah-Mensah J, Dontwi IK, Bonyah E. Stability analysis of multi-infections (Malaria, Zika-Virus and Elephantiasis) model. Journal of Advances in Mathematics and Computer Science. 2019;30(2):1-25.
Okongo MO. The local and global stability of the disease free equilibrium in a coinfection model of HIV/AIDS. Tuberculosis and Malaria. IOSR Journal of Mathematics. 2015;11(6):33-43.
Castillo-Chavez C, Blower S, Van den Driessche P, Krischner D, Abdul-Aziz Y. Mathematical approaches for emerging and reemerging infectious disease: Models, methods and theory; 2002.
Abstract View: 461 times
PDF Download: 268 times