A Compartmental Mathematical Model for Examining Transmission data of COVID-19 Pandemic in India
Chandan Kumar Sahoo | Kailash Chandra Paul | Nilamadhba Mishra
Discipline: Mathematics
Abstract:
IT is public knowledge that the World Health Organization declared the
COVID-19 outbreak a Public Health Emergency of International Concern on 30th January 2020 and a pandemic on 11th March of the same
year. Its origination was traced to Wuhan in China. Till date, it has
spread to around 222 countries in the world, including India. One of
the major causes of the snowballing increase in COVID-19 cases has
been the scarcity of knowledge on the behavior of the new virus and the
awareness regarding the basic preventive practices to be adopted by
people during the preliminary days of the spread of the infection. The
very 1st case in India was logged on 15th February 2020, and since then,
the caseload of infected persons has snowballed to over 2.67cr only in
India and 159.8 million cases worldwide, as recorded by the
Worldometer. The spreading rate of COVID-19 version 2.0 has been
phenomenal as compared to the version1.0. Countrywide complete and
or partial lockdowns, followed by immediate isolation of infected persons, were the measures initiated by the authorities in order to contain
the spread of the disease. The aim of the study is to suggest means to
reduce the active cases and control the transmission risk and mortality
rates. The research thus helps to calculate and predict the threshold
value of the disease. In addition, the Environmental Impact Assessment
Tool (EIAT) was used to perform the sensitivity analysis to determine
the robustness of the assessment by examining the extent of the evolution and impacts of the pandemic in the country. The constructed control model introduced five control variables as the backbone of the
adopted control strategies. The simulated results and analysis carried
there upon give strong indication that quarantine and provision of
timely and appropriate medical attention to the infected individuals will help reduce the number of critically infected cases to a considerably low level, which will further arrest transmission rate, mortality and
active ceases in India.
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