[1] Abboubakar, H., Kombou, L.K., Koko, A.D., Fouda, H.P.E., and Kumar, A. Projections
and fractional dynamics of the typhoid fever: A case study of Mbandjock in the Centre
Region of Cameroon, Chaos, Soliton. Fract. 150, (2021) 111129.
[2] Abboubakar, H., and Racke, R. Mathematical modeling, forecasting, and optimal control of
typhoid fever transmission dynamics, Chaos, Soliton. Fract. 149, (2021) 111074.
[3] Alharbi, M.H., Alalhareth, F.K., and Ibrahim, M.A. Analyzing the Dynamics of a Periodic
Typhoid Fever Transmission Model with Imperfect Vaccination, Mathematics 11(15), (2023)
3298.
[4] Baig, U., Mehdi, S.M., and Iftikhar, N. A pattern of antibiotic drug resistance of Salmonella
Typhi and Salmonella Paratyphi among children with enteric fever in a tertiary care hospital
in Lahore, Pakistan, Croat. Med. J. 64(4), (2023) 256.
[5] Belhdid, S., Balatif, O., and Khajji, B. Optimal control and cost-effectiveness analysis of
scam rumor propagation over social networks, Results Control Optim. 16, (2024) 100441.
[6] Bhutta, Z.A. Current concepts in the diagnosis and treatment of typhoid fever, BMJ
333(7558), (2006) 78–82.
[7] Birger, R., Antillón, M., Bilcke, J., Dolecek, C., Dougan, G., Pollard, A.J., Neuzil, K.M.,
Frost, I., Laxminarayan, R. and Pitzer, V.E. Estimating the effect of vaccination on
antimicrobial-resistant typhoid fever in 73 countries supported by Gavi: a mathematical
modelling study, Lancet Infect. Dis. 22(5), (2022) 679–691.
[8] Boyce, W.E., DiPrima, R.C., and Meade, D.B. Elementary differential equations and bound-
ary value problems, John Wiley and Sons, 2021.
[9] Bronze, M.S., and Greenfield, R.A. Biodefense: Principles and Pathogens, Horizon Bio-
science, Wymondham, Norfolk, England, 2005.
[10] Centers for Disease Control and Prevention. Typhoid Fever and Paratyphoid Fever, Avail-
able: https://www.cdc.gov/typhoid-fever/index.html, Accessed: 01-06-2023.
[11] Davarian, N., Heydari, A., Mehne, S.H.H. and Heydari, A. The investigation of stability
and optimal control of the multigroup Covid-19 epidemic model in Iran, J. Math. Ext. 19,
(2025).
[12] Encyclopedia of Mathematics. Gronwall lemma, Available: https://encyclopediaofmath.
org/wiki/Gronwall_lemma, Accessed: 05-01-2024.
[13] Farrar, J., Hotez, P.J., Junghanss, T., Kang, G., Lalloo, D., White, N.J. and Garcia, P.J.
(Eds.). Manson’s Tropical Diseases E-Book, Elsevier Health Sciences, 2023.
[14] Fleming, W.H., and Rishel, R.W. Deterministic and Stochastic Optimal Control, Springer
Science and Business Media, 2012.
[15] Folashade, B., and ELmojtaba Ibrahim, M. Optimal control and cost-effective analysis of
malaria/visceral leishmaniasis co-infection, PLoS One 12(2), (2017) e0171102.
[16] González-Guzmán, J. An epidemiological model for direct and indirect transmission of ty-
phoid fever, Math. Biosci. 96(1), (1989) 33–46.
[17] Government of Canada. Salmonella enterica, Available: https://www.canada.
ca/fr/sante-publique/services/biosecurite-biosurete-laboratoire/
fiches-techniques-sante-securite-agents-pathogenes\-evaluation\-risques/
salmonella-enterica.html#note4, Accessed: 27-10-2023.
[18] Institut Pasteur. Leptospirosis, Available: https://www.pasteur.fr/fr/
centre-medical/fiches-maladies/leptospirose, Accessed: 31-10-2023.
[19] Institut Pasteur. Salmonellosis, Available: https://www.pasteur.fr/fr/
centre-medical/fiches-maladies/salmonellose, Accessed: 27-10-2023.
[20] Karloff, H. (n.d.). Convex Functions and Applications, University of South Carolina. Avail-
able: https://people.math.sc.edu/howard/Classes/555c/convex.pdf, Accessed: 30-
09-2025.
[21] Karunditu, J.W., Kimathi, G., and Osman, S. Mathematical modeling of typhoid fever
disease incorporating unprotected humans in the spread dynamics, J. Adv. Math. Comput.
Sci. 32(3), (2019) 1–11.
[22] Khassal, S., Moumine, E.M., and Balatif, O. Mathematical modeling, analysis, and optimal
control of the cochineal insect impact on cacti plants, Iran. J. Numer. Anal. Optim. 15(2),
(2025).
[23] Mirza, S.H., Beechmg, N.J., and Hart, C.A. Multi-drug resistant typhoid: a global problem,
J. Med. Microbiol. 44(5), (1996) 317–319.
[24] Mogasale, V., Maskery, B., Ochiai, R.L., Lee, J.S., Mogasale, V.V., Ramani, E., Kim, Y.E.,
Park, J.K. and Wierzba, T.F. Burden of typhoid fever in low-income and middle-income
countries: a systematic, literature-based update with risk-factor adjustment, Lancet Global
Health 2(10), (2014) e570–e580.
[25] Mondal, J. Influence of awareness programs by media in the typhoid fever: a study based
on mathematical modeling, J. Math. Model. 6(1), (2018) 1–26.
[26] Musa, S.S., Zhao, S., Hussaini, N., Usaini, S. and He, D. Dynamics analysis of typhoid fever
with public health education programs and final epidemic size relation, Results Appl. Math.
10, (2021) 100153.
[27] Mushayabasa, S. A simple epidemiological model for typhoid with saturated incidence rate
and treatment effect, Int. J. Math. Comput. Sci. 6(6), (2013) 688–695.
[28] Mushayabasa, S. Modeling the impact of optimal screening on typhoid dynamics, Int. J.
Dyn. Control 4, (2016) 330–338.
[29] Mutua, J.M., Wang, F.B., and Vaidya, N.K. Modeling malaria and typhoid fever co-infection
dynamics, Math. Biosci. 264, (2015) 128–144.
[30] Ogwa, M., Wenda, L., Lisimo, B., Lomboto, L., and Mokili, J.K.E.Difficulté diagnostique
et prise en charge de la fièvre typhoïde chez les enfants en milieu rural en Rd Congo (cas
de l’HGR de Basoko), Int. J. Innov. Sci. Res. 31(2), (2017) 287–294.
[31] Okosun, K.O., Makinde, O.D., and Takaidza, I. Impact of optimal control on the treatment
of HIV/AIDS and screening of unaware infectives, Appl. Math. Model. 37(6), (2013) 3802–
3820.
[32] Okosun, K.O., Ouifki, R., and Marcus, N. Optimal control strategies and cost-effectiveness
analysis of a malaria model, BioSystems 111(2), (2013) 83–101.
[33] Peter, O.J., Ibrahim, M.O., Edogbanya, H.O., Oguntolu, F.A., Oshinubi, K., Ibrahim, A.A.,
Ayoola, T.A. and Lawal, J.O. Direct and indirect transmission of typhoid fever model with
optimal control, Results Phys. 27, (2021) 104463.
[34] Piovani, D., Figlioli, G., Nikolopoulos, G.K. and Bonovas, S. The global burden of enteric
fever, 2017–2021: a systematic analysis from the global burden of disease study 2021, E.
Clinical Medicine 77, (2024).
[35] Pontryagin. L.S. Mathematical theory of optimal processes, Routledge, 2018.
[36] Shaikh, A.S., and Nisar, K.S. Transmission dynamics of fractional order Typhoid fever
model using Caputo–Fabrizio operator, Chaos, Soliton. Fract. 128, (2019) 355–365.
[37] Stanaway, J.D., Reiner, R.C., Blacker, B.F., Goldberg, E.M., Khalil, I.A., Troeger, C.E.,
Andrews, J.R., Bhutta, Z.A., Crump, J.A., Im, J. and Marks, F. The global burden of
typhoid and paratyphoid fevers: a systematic analysis for the Global Burden of Disease
Study 2017, Lancet Infect. Dis. 19(4), (2019) 369–381.
[38] Tilahun, G.T., Makinde, O.D., and Malonza, D. Modelling and optimal control of typhoid
fever disease with cost-effective strategies, Comput. Math. Methods Med. 2017, (2017)
2324518.
[39] Tilahun, G.T., Makinde, O.D., and Malonza, D. Co-dynamics of pneumonia and typhoid
fever diseases with cost effective optimal control analysis, Appl. Math. Comput. 316, (2018)
438–459.
[40] Watson, C.H., and Edmunds, W.J. A review of typhoid fever transmission dynamic models
and economic evaluations of vaccination, Vaccine 33, (2015) C42–C54.
[41] World Health Organization. Background document: the diagnosis, treatment and prevention
of typhoid fever, Background document: The diagnosis, treatment and prevention of typhoid
fever (2003).
[42] World Health Organization. Typhoid vaccines: WHO position paper–March 2018, Wkly.
Epidemiol. Rec. (2018) 153–172.
