Asymptomatic and pre-symptoms transmission of covid-19 in heterogeneous epidemic network

ABSTRACT

The diversity of the spread pattern of the Corona virus is one of the most important reasons for the seriousness of the virus. Therefore, in this paper, we present a fractional mathematical SEIAS model that studies many ways of spreading (asymptomatic and pre-symptoms transmission) with the hypothesis of the spread of the virus in a heterogeneous network of individuals. The system consists of nonlinear equations which formed in fractional order. And it turns out that the system has two equilibrium positions (free and endemic positions). We also calculated the disease prevalence threshold (ℛ" ) within the network. The condition for the existence of the epidemiological situation has been determined. The stability of the free equilibrium position has been studied. The numerical part has been added to explain the proved theorems of the system in addition to clarifying the role of the heterogeneous network on the value of the virus spread threshold within the network. Keywords Complex Networks, Novel Coronavirus (COVID-19), Asymptomatic and Pre-Symptoms Transmission, Basic. © 2022 NSP Natural Sciences Publishing Cor.