Corona-virus disease 2019 (COVID-19) is an infectious disease that has affected different groups of humankind such as farmers, soldiers, drivers, educators, students, healthcare workers and many others. The transmission rate of the disease varies from one group to another depending on the contact rate. Healthcare workers are at a high risk of contracting the disease due to the high contact rate with patients. So far, there exists no mathematical model which combines both public control measures (as a parameter) and healthcare workers (as an independent compartment). Combining these two in a given mathematical model is very important because healthcare workers are protected through effective use of personal protective equipment, and control measures help to minimize the spread of COVID-19 in the community. This paper presents a mathematical model named SWE HR; susceptible individuals (S), healthcare workers (W), exposed (E), symptomatic infectious ( ), asymptomatic infectious ( ), hospitalized (H), recovered (R). The value of basic reproduction number for all parameters in this study is 2.8540. In the absence of personal protective equipment and control measure in the public , the value of which implies the presence of the disease. When and were introduced in the model, basic reproduction number is reduced to 0.4606, indicating the absence of disease in the community. Numerical solutions are simulated by using Runge–Kutta fourth-order method. Sensitivity analysis is performed to presents the most significant parameter. Furthermore, identifiability of model parameters is done using the least square method. The results indicated that protection of healthcare workers can be achieved through effective use of personal protective equipment by healthcare workers and minimization of transmission of COVID-19 in the general public by the implementation of control measures. Generally, this paper emphasizes the importance of using protective measures.
COVID-19 pandemic has posed an unprecedented threat to global public health. Health profes sionals caring for COVID-19 patients face insomnia, mental stress, physical exhaustion, stigma, the pain of losing patients and colleagues. Many of them acquired SARS-CoV-2 and some died. Protection of this workforce is of paramount importance to ensure optimal care to patients. Thus, this study contributes to the subject by formulating a deterministic mathematical model SW E IsIaHR (Susceptible - Healthcare workers - Exposed - Symptomatic - Asymptomatic - Hospi talized - Recovered) that combines both healthcare workers (as an independent compartment) and community and focuses on the protection of the healthcare workforce against SARS-COV-2. Benefiting the next generation matrix method, the basic reproduction number (R0) was computed. Routh-Hurwitz criterion and stable Metzler matrix theory revealed that disease-free equilibrium point is locally and globally asymptotically stable whenever R0 < 1, respectively. Lyapunov func tion depicted that the endemic equilibrium point is globally asymptotically stable when R0 > 1. Further, the dynamics behavior of R0 was explored when varying the use personal protective equipment (ξ) and physical distancing (θ). In the absence of protective measures (ξ and θ), the value of R0 was 6.7125 which implies the expansion of the disease. When θ and ξ were introduced in the model, R0 was 0.6713, indicating the decrease of the disease in the community. Numer ical solutions were simulated by using Runge-Kutta fourth-order method. The numerical results illustrated mathematically that protection of health care workers can be achieved through effec tive use of personal protective equipment and minimization of transmission of COVID-19 in the community.
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