Mathematical Model and Optimal Control of Covid-19 in Nigeria

  • M. C. Anyanwu Department of Mathematics, Michael Okpara University of Agriculture, Umudike, Abia State, Nigeria
  • S. N. Neossi-Nguetchue Mathematics Department, Namibia University of Science and Technology, Windhoek, Namibia
  • G. M. Moremedi Mathematics Department, University of South Africa, Johannessburg, South Africa
  • A. S. Eegunjobi Mathematics Department, Namibia University of Science and Technology, Windhoek, Namibia
Keywords: Covid-19, vaccination, protection, isolation, optimal control, stability


The global pandemic, Covid-19, caused by corona virus disease is responsible for a significant number of deaths and huge economic losses in almost all the countries of the world, including Nigeria. In order to manage the spread of this disease in Nigeria, the Nigeria Center for Disease Control(NCDC) has proposed and implemented various control and preventive measures such as vaccination, use of alcohol-based hand sanitizers, social distancing, and others. The aim of this paper is to model the transmission dynamics of Covid-19 in Nigeria, and obtain, by using Pontryagin Maximum Principle, the combination of these control strategies for effective control of the disease in Nigeria. Numerical experiments with Nigeria Covid-19 data show the effectiveness optimal use of these preventive and control measures for Covid-19.


Abioye, A. I., Peter, O. J., Ogunseye, H. A., Oguntolu, F. A., Oshinubi, K., Ibrahim, A. A., & Khan, I. (2021). Mathematical model of COVID-19 in Nigeria with optimal control. Results in Physics, 28, 104598.

Iboi, E. A., Sharomi, O., Ngonghala, C. N., & Gumel, A. B. (2020). Mathematical modeling and analysis of COVID-19 pandemic in Nigeria. Mathematical Biosciences and Engineering, 17(6), 7192-7220.

Ogundokun, R. O., Lukman, A. F., Kibria, G. B. M., Awotunde, J. B., & Aladeitan, B. B. (2020). Predictive modelling of COVID-19 confirmed cases in Nigeria. Infectious Disease Modelling, 5, 543-548.

Amzat, J., Aminu, K., Kolo, V. I., Akinyele, A. A., Ogundairo, J. A., & Danjibo, М. С. (2020). Coronavirus outbreak in Nigeria: Burden and socio-medical response during the first 100 days. International Journal of Infectious Diseases, 98, 218-224.

Avusuglo, W. S., Han, Q., Woldegerima, W. A., Asgary, A., Wu, J., Orbinski, J., Bragazzi, N. L., Ahmadi, A., & Kong, J. D. COVID-19 and Malaria Co-Infection: Do Stigmatization and Self-Medication Matter? A Case for Nigeria. Available at SSRN:

Herbert, W. H. (2000). The mathematics of infectious diseases. SIAM Review, 42(4), 599-653.

Seidu, B. (2020). Optimal strategies for control of COVID-19: A mathematical perspective. Scientifica, 2020, Article ID 4676274, 12 pages.

Obsu, L. L., & Balcha, S. F. (2020). Optimal control strategies for the transmission risk of COVID-19. Journal of Biological Dynamics, 14(1), 590-607.

Van Den Driessche, P., & Watmough, J. (2002). Reproduction numbers and the sub-threshold endemic equilibria for compartmental models of infectious disease transmission. Mathematical Biosciences, 180, 29-48.

Katri, P. (2010). Modeling the Transmission Dynamics of the Dengue Virus. Open Access Dissertations, Paper 147.

Castillo-Chavez, C., Feng, Z., & Huang, W. (2012). On the computation of Ro and its role on global stability. Mathematical Approaches for Emerging and Reemerging Infectious Diseases: An Introduction, Springer, Berlin, 229.

Pontryagin, L. S., Boltayanskii, V. G., Gamkrelidze, R. V., & Mishchenko, E. F. (1962). The mathematical theory of optimal processes. Wiley.

How to Cite
Anyanwu, M. C., Neossi-Nguetchue, S. N., Moremedi, G. M., & Eegunjobi, A. S. (2024). Mathematical Model and Optimal Control of Covid-19 in Nigeria. Earthline Journal of Mathematical Sciences, 14(3), 421-441.