Mathematical Modeling and Analysis of COVID-19 pandemic in Nigeria

A novel Coronavirus (COVID-19), caused by SARS-CoV-2, emerged from the Wuhan city of China at the end of 2019, causing devastating public health and socio-economic burden around the world. In the absence of a safe and effective vaccine or antiviral for use in humans, control and mitigation efforts against COVID-19 are focussed on using non-pharmaceutical interventions (aimed at reducing community transmission of COVID-19), such as social (physical)-distancing, community lockdown, use of face masks in public, isolation and contact tracing of confirmed cases and quarantine of people suspected of being exposed to COVID-19. We developed a mathematical model for understanding the transmission dynamics and control of COVID-19 in Nigeria, one of the main epicenters of COVID-19 in Africa. Rigorous analysis of the Kermack-McKendrick-type compartmental epidemic model we developed, which takes the form of a deterministic system of nonlinear differential equations, reveal that the model has a continuum of disease-free equilibria which is locally-asymptotically stable whenever a certain epidemiological threshold, called the it control reproduction (denoted by Rc), is less than unity. The epidemiological implication of this result is that the pandemic can be effectively controlled (or even eliminated) in Nigeria if the control strategies implemented can bring (and maintain) the epidemiological threshold (Rc) to a value less than unity. The model, which was parametrized using COVID-19 data published by Nigeria Centre for Disease Control (NCDC), was used to assess the community-wide impact of various control and mitigation strategies in the entire Nigerian nation, as well as in two states (Kano and Lagos) within the Nigerian federation and the Federal Capital Territory (FCT Abuja). It was shown that, for the worst-case scenario where social-distancing, lockdown and other community transmission reduction measures are not implemented, Nigeria would have recorded a devastatingly high COVID-19 mortality by April 2021 (in hundreds of thousands). It was, however, shown that COVID-19 can be effectively controlled using social-distancing measures provided its effectiveness level is at least moderate. Although the use of face masks in the public can significantly reduce COVID-19 in Nigeria, its use as a sole intervention strategy may fail to lead to the realistic elimination of the disease (since such elimination requires unrealistic high compliance in face mask usage in the public, in the range of 80% to 95%). COVID-19 elimination is feasible in both the entire Nigerian nation, and the States of Kano and Lagos, as well as the FCT, if the public face masks use strategy (using mask with moderate efficacy, and moderate compliance in its usage) is complemented with a social-distancing strategy. The lockdown measures implemented in Nigeria on March 30, 2020 need to be maintained for at least three to four months to lead to the effective containment of COVID-19 outbreaks in the country. Relaxing, or fully lifting, the lockdown measures sooner, in an effort to re-open the economy or the country, may trigger a deadly second wave of the pandemic.

[1]  A. Gumel,et al.  Will an imperfect vaccine curtail the COVID-19 pandemic in the U.S.? , 2020, Infectious Disease Modelling.

[2]  Julien Arino,et al.  A final size relation for epidemic models. , 2007, Mathematical biosciences and engineering : MBE.

[3]  P. Alam ‘A’ , 2021, Composites Engineering: An A–Z Guide.

[4]  P. Klepac,et al.  Feasibility of controlling COVID-19 outbreaks by isolation of cases and contacts , 2020, The Lancet Global Health.

[5]  G. Chowell,et al.  Transmission potential of the novel coronavirus (COVID-19) onboard the diamond Princess Cruises Ship, 2020 , 2020, Infectious Disease Modelling.

[6]  C. Whittaker,et al.  Estimates of the severity of coronavirus disease 2019: a model-based analysis , 2020, The Lancet Infectious Diseases.

[7]  Ruiyun Li,et al.  Substantial undocumented infection facilitates the rapid dissemination of novel coronavirus (SARS-CoV-2) , 2020, Science.

[8]  Hannah R. Meredith,et al.  The Incubation Period of Coronavirus Disease 2019 (COVID-19) From Publicly Reported Confirmed Cases: Estimation and Application , 2020, Annals of Internal Medicine.

[9]  J. Watmough,et al.  Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission. , 2002, Mathematical biosciences.

[10]  J. Xiang,et al.  Clinical course and risk factors for mortality of adult inpatients with COVID-19 in Wuhan, China: a retrospective cohort study , 2020, The Lancet.

[11]  Yang Liu,et al.  Early dynamics of transmission and control of COVID-19: a mathematical modelling study , 2020, The Lancet Infectious Diseases.

[12]  Gorjan Alagic,et al.  #p , 2019, Quantum information & computation.

[13]  Anna M. Acosta,et al.  Public Health Responses to COVID-19 Outbreaks on Cruise Ships — Worldwide, February–March 2020 , 2020, MMWR. Morbidity and mortality weekly report.

[14]  P. Alam ‘G’ , 2021, Composites Engineering: An A–Z Guide.

[15]  이화영 X , 1960, Chinese Plants Names Index 2000-2009.

[16]  O. Diekmann,et al.  On the definition and the computation of the basic reproduction ratio R0 in models for infectious diseases in heterogeneous populations , 1990, Journal of mathematical biology.

[17]  E. Kostelich,et al.  To mask or not to mask: Modeling the potential for face mask use by the general public to curtail the COVID-19 pandemic , 2020, Infectious Disease Modelling.

[18]  A. Gumel,et al.  Mathematical assessment of the impact of non-pharmaceutical interventions on curtailing the 2019 novel Coronavirus , 2020, Mathematical Biosciences.

[19]  P. Klepac,et al.  Early dynamics of transmission and control of COVID-19: a mathematical modelling study , 2020, The Lancet Infectious Diseases.

[20]  Jianhong Wu,et al.  Modeling the impact of mass influenza vaccination and public health interventions on COVID-19 epidemics with limited detection capability , 2020, Mathematical Biosciences.

[21]  A. Akinyemi,et al.  Demographic dynamics and development in Nigeria , 2014 .

[22]  P. Alam,et al.  H , 1887, High Explosives, Propellants, Pyrotechnics.

[23]  Ruiyun Li,et al.  Substantial undocumented infection facilitates the rapid dissemination of novel coronavirus (COVID-19) , 2020, medRxiv.

[24]  W. O. Kermack,et al.  A contribution to the mathematical theory of epidemics , 1927 .

[25]  G. Chowell,et al.  Transmission potential of the novel coronavirus (COVID-19) onboard the diamond Princess Cruises Ship, 2020 , 2020, Infectious Disease Modelling.

[26]  Jianhong Wu,et al.  Estimation of the Transmission Risk of the 2019-nCoV and Its Implication for Public Health Interventions , 2020, Journal of clinical medicine.

[27]  Allan Bennett,et al.  Testing the Efficacy of Homemade Masks: Would They Protect in an Influenza Pandemic? , 2013, Disaster Medicine and Public Health Preparedness.

[28]  G. G. Stokes "J." , 1890, The New Yale Book of Quotations.