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Covid illness (COVID-19) happened in December 2019 first in Wuhan city of Hubei region of China. World Health Organization (WHO) proclaimed the spread or transmission of this infection as a pandemic. The infection named as severe intense respiratory disorder Covid 2 (SARS-CoV-2) by the International Committee on Taxonomy of Viruses on February 11, 2020. Disease due to this novel-coronavirus is infectious. Therefore, modeling such disease is required to understand methods of transmission, spread, epidemic. Several researchers have found that the transfer of the virus occurs through human contact via their pathogens, such as coughing, sneezing, and breathing. With all sorts of preventive measures (social distancing, wearing mask and lockdown), there is a need to develop a dynamic model of epidemiology for infectious disease. In this article, we have developed a new epidemiological dynamical model-design towards simulating spread and awareness towards this genomic- virus. This model studies the complexity analysis including time series and phase dynamics for the development of the virus in Iraq. Examination helps the comprehension of episode of this infection towards different pieces of the mainland and the world. Accuracy in addition to, validity for the assessment would prove to be superior if models fit less of the data on basis of the features: population-mobility with natural-history, epidemiological-characteristics, & transmission-contrivances for virus-gene. It is concluded that for Iraq the spread is following the log normal behavior with long tail. [ABSTRACT FROM AUTHOR]