Mathematical Approach to Investigate Stress due to Control Measures to Curb COVID-19.

Journal: Computational and mathematical methods in medicine

Volume: 2022

Issue: 

Year of Publication: 2022

Affiliated Institutions:  School of Computational and Communication Science and Engineering, The Nelson Mandela, African Institution of Science and Technology, P.O. Box , Arusha, Tanzania. African Institute for Mathematical Sciences, NEI Global Secretariat, rue KG St., Kigali, Rwanda.

Abstract summary 

COVID-19 is a world pandemic that has affected and continues to affect the social lives of people. Due to its social and economic impact, different countries imposed preventive measures that are aimed at reducing the transmission of the disease. Such control measures include physical distancing, quarantine, hand-washing, travel and boarder restrictions, lockdown, and the use of hand sanitizers. Quarantine, out of the aforementioned control measures, is considered to be more stressful for people to manage. When people are stressed, their body immunity becomes weak, which leads to multiplying of coronavirus within the body. Therefore, a mathematical model consisting of six compartments, Susceptible-Exposed-Quarantine-Infectious-Hospitalized-Recovered () was developed, aimed at showing the impact of stress on the transmission of COVID-19 disease. From the model formulated, the positivity, bounded region, existence, uniqueness of the solution, the model existence of free and endemic equilibrium points, and local and global stability were theoretically proved. The basic reproduction number ( ) was derived by using the next-generation matrix method, which shows that, when < 1, the disease-free equilibrium is globally asymptotically stable whereas when > 1 the endemic equilibrium is globally asymptotically stable. Moreover, the Partial Rank Correlation Coefficient (PRCC) method was used to study the correlation between model parameters and . Numerically, the model was solved by using the Rung-Kutta fourth-order method, while the least square method was used for parameter identifiability. Furthermore, graphical presentation revealed that when the mental health of an individual is good, the body immunity becomes strong and hence minimizes the infection. Conclusively, the control parameters have a significant impact in reducing the transmission of COVID-19.

Authors & Co-authors:  Paul James Nicodemus JN Mirau Silas Steven SS Mbalawata Isambi Sailon IS

Study Outcome 

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Statistics
Citations :  Ali M., Imran M., Khan A. Can medication mitigate the need for a strict lock down?: a mathematical study of control strategies for COVID-19 infection. 2020. medRxiv.
Authors :  3
Identifiers
Doi : 7772263
SSN : 1748-6718
Study Population
Male,Female
Mesh Terms
Basic Reproduction Number
Other Terms
Study Design
Study Approach
Country of Study
Publication Country
United States