Journal of Advances in Mathematics and Computer Science 35(6): 35-41, 2020; Article no.JAMCS.59374 ISSN: 2456-9968 (Past name: British Journal of Mathematics & Computer Science, Past ISSN: 2231-0851) An SEIQR Mathematical Model for The Spread of COVID-19 Samuel B. Apima 1 * and Jacinta M. Mutwiwa 2 1 Department of Mathematics and Statistics, Kaimosi Friends University College, Kenya. 2 Department of Mathematics, Kibabii University, Kenya. Authors contributions This work was carried out in collaboration between both authors. SBA designed the study, performed the statistical analysis, wrote the protocol, and wrote the first draft of the manuscript. JMM managed the analyses of the study. Both authors read and approved the final manuscript. Article Information DOI: 10.9734/JAMCS/2020/v35i630290 Editor(s): (1) Dr. Dariusz Jacek Jakbczak, Koszalin University of Technology, Poland. (2) Dr. Francisco Welington de Sousa Lima, Federal University of Piaui, Brazil. Reviewers: (1) Muhammad Tahir, Northern University, Pakistan. (2) Alexis Nangue, University of Maroua, Cameroon. (3) Amit Kumar, Vikram University, India. Complete Peer review History: http://www.sdiarticle4.com/review-history/59374 Received: 10 July 2020 Accepted: 31 July 2020 Original Research Article Published: 15 August 2020 Abstract COVID-19, a novel coronavirus, is a respiratory infection which is spread between humans through small droplets expelled when a person with COVID-19 sneezes, coughs, or speaks. An SEIQR model to investigate the spread of COVID-19 was formulated and analysed. The disease free equilibrium point for formulated model was shown to be globally asymptotically stable. The endemic states were shown to exist provided that the basic reproduction number is greater than unity. By use of Routh-Hurwitz criterion and suitable Lyapunov functions, the endemic states are shown to be locally and globally asymptotically stable respectively. This means that any perturbation of the model by the introduction of infectives the model solutions will converge to the endemic states whenever reproduction number is greater than one, thus the disease transmission levels can be kept quite low or manageable with minimal deaths at the peak times of the re-occurrence. *Corresponding author: E-mail: sapima@kafuco.ac.ke;