[1] Abdoulaye, S., Cherif, D. & Hocine, C. (2022). Effects of vertical transmission and human contact on Zika dynamics. Complexity (Hindawi). 2022, 1-15, Article ID 5366395.
[2] Agusto, F.B., Bewick, S. & Fagan, W.F. (2017). Mathematical model of Zika virus with vertical transmission. Infect. Dis. Model. 2, 244-267.
[3] Aranda, L. D. F., Gonzalez-Para, G., & Benincasa, T. (2019). Mathematical modelling and numerical simulations of Zika in Colombia considering mutation.Math. Comput. Simul. 163(C), 1-18. 3.2.
[4] Biswas, S. K., Ghosh, U.& Sarkar, S. (2020). Mathematical model of zika virus dynamics with vector control and sensitivity analysis. Infect. Dis. Model. 2020 (5), 23-41.
[5] Bonaldo, M.C., Ribeiro, I.P., Lima, N.S., et al. (2016). Isolation of infective Zika virus from urine and saliva of patients in Brazil, PLoS Negl. Trop. Dis., 10(6), doi: 10.1371/journal.pntd.0004816.
[6] Bonyah E. E. & Okosun, K. O. (2016). Mathematical modeling of Zika virus. Asian Pac. J. Trop. Dis. 6(9), 673-679.
[7] Cameron A. C. & Trivedi P. K. Regression analysis of count data, Econometric Society Monograph, No. 30, Cambridge University Press, 1998.
[8] Centre for Disease Prevention and Control, CDC. (2019). National Center on Birth Defects Developmental Disabilities: Symptoms, Diagnosis & How to Protect Yourself from Getting Zika from Sex. Atlanta. Retrieved on November 23, 2023.
[9] Centre for Disease Prevention and Control, CDC. (2017). Retrieved from
https://www.cdc.gov/zika/public health-partners/zapss.html on November 23, 2023.
[10] Centre for Disease Prevention and Control, CDC. (2016). Symptoms, Diagnosis & Treatment: Zika Virus. Atlanta. Retrieved on March 4, 2019.
[11] Chitnis, N., James, M. H. & Cushing, J. M. (2008). Determining important parameters in the spread of malaria through the sensitivity analysis of a mathematical model. Bull. Math. Biol. , DOI 10.1007/s11538-008-9299-0.
[12] Coddington, E. A. & Levinson, N. Theory of Ordinary Differential Equations. McGraw-Hill, New York, 1955.
[13] Dick, G. W., Kitchen, S. F. & Haddow, A. J. (1952). Zika virus, isolations and serological specificity, Trans. R. Soc. Trop. Med. Hyg., 46, 509-520.
[14] Diekmann, O., Heesterbeek, J. A. & Metz, J. A. J. (1990). On the definition and the computation of the basic reproductive ratio, R 0 in models of infectious diseases in heterogeneous populations. J. Math. Biol. 28, 365-382.
[15] Farshid, N., Kamal, A., Yousef, F., Hossein D., Mehrnaz R., Farshid, R., Mostafa S.V., Nazanin, Z. S., Ehsan S. G., Morteza, Z. & Mohammad, H. N. (2019). Zika virus infection, basic and clinical aspects: A review article, Iran. J. Public Health. 48(1), 20-31.
[16] Gellow, G.T., Munganga, J.M.W., & Jafari, H. (2023). Analysis of a ten compartmental mathematical model of malaria transmission, Adv. Math. Models Appl. 8(2), 40-56.
[17] Hancock, W.T., Marfel, M. & Bel, M. (2014). Zika virus, French polynesia, South pacific, 2013, Emerg. Infect. Dis. 20(6), 1085-6.
[18] Lakshmikantham, V., Leela, S. & Martynyuk, A. Stability analysis of nonlinear systems. Marcel Dekker Inc., New York and Basel, P.31. 1989.
[19] Kucharski, A.J., Funk, S., Eggo, R.M., Mallet, H.P., Edmunds, W.J. & Nilles, E.J. (2016). Transmission dynamics of Zika virus in Island populations: A Modelling analysis of the 2013 − 14 French Polynesia Outbreak. PLoS Negl. Trop. Dis. 10(5), e0004726. doi:10.1371/journal.pntd.0004726.
[20] Kumar, N., Abdullah, M., Faizan, Md I., Ahmed, A., Alsenaidy, H. A., Dohare, R. & Parveen, S. (2017). Progression dynamics of Zika fever outbreak in El Salvador during 2015-2016: a mathematical modeling approach. Future Virol. 12(5), 271-281.
[21] Kutsuna, S., Kato, Y., Takasaki, T., et al. (2014). Two cases of Zika fever imported from French Polynesia to Japan, December 2013 to January 2014. Euro. Surveill. 19(4), 20683.
[22] Lanko, K., Eggermont, K., Kaptein, S., Guo, W., Marques, R., Damme, V., et al. (2016). Zika virus induces cell death in human iPSC derived neuronal cells, J. Neurol. Complic. Oral. 41, 1-59.
[23] Life Cycle of Aedes Mosquitoes. Retrieved from https://sea.biogents.com/life-cycle-aedes-mosquitoes/ on 27th February, 2024.
[24] Lorenzo, S., Elise, D., Sylvie, C., Martine, L., Priscillia, B., Joël, G., Maité, A., Van-Mai C.& Henri-Pierre, M. (2017).
Revising rates of asymptomatic Zika virus infection based on sentinel surveillance data from French Overseas Territories, Int. J. Infect. Dis. 65, 116-118.
[25] Macrotrends. Colombia Birth Rate 1950-2024. Retrieved from
https://www.macrotrends.net/global metrics/countries/col/colombia/birth-rate on 20th September, 2024.
[26] Maxian, O., Neufeld, A., Emma, J. T., Lauren, M. C., & Julie, C. B. (2017). Zika virus dynamics: When does sexual transmission matters? Epidem. 21, 48-55.
[27] Malone, R. W., Jane, H., Michael, V. C., Jill, G., Lambodhar, D., Adriano, B. S. et al. (2016). Zika Virus: medical Countermeasure Development Challenges, PLoS Negl. Trop. Dis. 10(3), e0004530. 10.1371/journal.pntd.0004530.
[28] Md Ali, A., Means, S. A., Ho, H. & Heffernan, J. (2021). Global sensitivity analysis of a single-cell HBV model for viral dynamics in the liver. Infect. Dis. Model. 6, 1220-1235.
[29] Momoh, A. A. & Armin, F. (2018). Optimal control of intervention strategies and cost effectiveness analysis for a Zika virus model. Oper. Res. Health Care. 18, 99-111.
[30] Moreno, V.M.,Espinoza, B, Bichara, D., Susan A. H. & Castillo-Chavez, C. (2017). Role of short-term dispersal on the dynamics of Zika virus in an extreme idealized environment. Infect. Dis. Model. 2, 21-34.
[31] Muhammad, A. K.,Saif, U., & Muhammad, F. (2019). The dynamics of Zika virus with Caputo fractional derivative. AIMS Math. 4 (1), 134-146. DOI:10.3934/Math.2019.1.134.
[32] Musso, D., Roche, C., Robin, E., et al. (2015). Potential sexual transmission of Zika virus, Emerg. Infect. Dis. 21(2), 359-61.
[33] Narender, K., Mohd, A., Md Imam, F., Anwar, A., Hytham, A. A., Ravins, D. & Shama, P. (2017). Progression dynamics of Zika fever outbreak in El Salvador during 2015-2016: a mathematical modeling approach. Future Virol. 10.2217/fvl-2017-0119.
[34] Rahman, M., Bekele-Maxwell, K., Cates, L. L., Banks, H. T. & Vaidya, N. K. (2019). Modeling Zika Virus transmission dynamics: parameter estimates, disease characteristics, and prevention, Sci. Rep., 9, 10575. https://doi.org/10.1038/s41598-019-46218-4.
[35] Rezapour, S., Hakimeh, M. & Amin, J. (2020). A new mathematical model for Zika virus transmission, Adv. Differ. Equ., 1-15.
[36] Riou, J., Chiara, P. & Pierre-Yves, B. (2017). comparative analysis of Chikungunya and Zika transmission. Epidem.,19, 43-52.
[37] Robert, M. B. & Klaus, S. (2009).Electr. J. Differ. Equ. Monograph 09, ISSN: 1072-6691.
[38] Sanchez-Franco, S. & Gonzalez-Uribe, C. (2021). Age disparities in unmet need for contraception among all sexually active women in Colombia: Demographic Health Survey 2015. J. Women’s Health (Larchmt), 61(6), 562-57.
[39] Saravanan, T., Jing, H., Charles, E. H., Hilda, G & Robert, B. T. (2016). Vertical transmission of Zika Virus in Aedes aegypti Mosquitoes, Am. J. Trop. Med. Hyg. 95(5), 1169-1173.
[40] Scott, C. W., Costa, F., Mariano, A. G., Albert, I. K., Ribeiro, G. S., George, S. et al. (2016). Zika Virus: History, emergence, biology and prospects for control, Antivir. Res., 130, 69-80.
[41] Sherry, T., Fred, B., Castillo-Chaveza, C., Andrew, K.I., Falconarc,A. M., Claudia, M.E., Romero-Vivas. (2016). Estimate of the reproduction number of the 2015 Zika virus outbreak in Barranquilla, Colombia, and estimation of the relative role of sexual transmission, Epide. 17, 50-55.
[42] Sherer, M.L., Lemanski, E.A., Patel, R.T., Wheeler, S.R., Parcells, M.S.& Schwarz, J.M. (2021). A Rat model of prenatal Zika virus infection and associated long-term outcomes, J. Viruses, 13, 2298. https://doi.org/10.3390/v13112298.
[43] Shutt, D. P., Manore, C. A., Pankavich, S., Porter, A. T. & Del Valle, S. Y. (2017). Estimating the reproductive number, total outbreak size, and reporting rates for Zika epidemics in South and Central America, Epidem., 21,63-79.
[44] Sudhanshu, K. B., Uttam, G. & Susmita, S. (2020). Mathematical model of zika virus dynamics with vector control and sensitivity analysis. Infect. Dis. Model. 5, 23-41.
[45] Suparit, P., Anuwat, W. & Charin, M. (2018). A mathematical model for Zika virus transmission dynamics with a time dependent mosquito biting rate. Theor. Biol. Med. Model. 15, (11), 1-11.
[46] Teschl, G. (2012). Ordinary Differential Equations and Dynamical Systems. Graduate Studies in Mathematics. Providence, Rhode Island: American Mathematical Society. p. 38. eISSN 2376-9203. ISBN 978-0-8218-8328-0. ISSN 1065-7339. Zbl 1263.34002.
[47] Turar, O., Imankulov, T., & Azimov, A. (2023). Stabilizing the system in the problem of epidemic spread limited time of immunization, Adv. Math. Models Appl. 8(2), 76-84.
[48] Umar, A., Musa, S. & Chukkol, Y. B. (2024). Mathematical model on the transmission dynamics of varroosis in honeybee colony with treatment and biocontrol agent. Mathematics and Computational Sciences, 5(2), 1-20. doi:10.30511/mcs.2024.2008211.1135
[49] Usman, U., Adamu, I. I. & Babando, H. A. (2017). Mathematical model for the transmission dynamics of the Zika virus infection with combined vaccination and treatment interventions. J. App. Maths. Phy. 5, 1964-1978.
[50] Van den Driessche, P., and James, W. (2002). Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission. Math. Biosci. 180, 29-48.
[51] Wei, W., Mengchen, Z. & Zhaosheng, F. (2023). Dynamics of a Zika virus transmission model with seasonality and periodic delays. Commun. Nonlinear Sci. Numer. Simul. 116, 106830.
[52] Wikipedia, Retrieved from https://en.wikipedia.org/wiki/Demographics o f C olombiaon1 st November, 2024.
[53] World Bank. Yearly Mortality Rate of Colombia, 2024.
[54] World Health Organization, W.H.O. (2017). WHO/UNICEF Zika Virus (ZIKV) Vaccine Target Product Profile (TPP): Vaccine to protect against congenital Zika syndrome for use during an emergency. WHO/UNICEF Zika Virus Vaccine Target Product Profile for Emergency/Outbreak Use.
[55] Xiaoyan, Y., Yijun, L., Daihai, H., Jinliang, W. and Daozhou, G. (2021). A Zika endemic model for the contribution of multiple transmission routes. Bull. Math. Biol. 83, 111.
[56] Zanluca, C. & Dos, S. C.N.D. (2016). Zika virus-an overview, Microbes Infect, 18(5), 295-301.