Mathematical study for the phase-based transmissibility of a novel  COVID-19 Coronavirus

doi:10.21203/rs.3.rs-26318/v1

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Mathematical study for the phase-based transmissibility of a novel COVID-19 Coronavirus

https://doi.org/10.21203/rs.3.rs-26318/v1

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In this paper, a mathematical dynamical system modeling a SEIRW model of infectious disease transmission for a transmissibility of a novel COVID-19 Coronavirus is studied. A qualitative analysis such as the local and global stability of equilibrium points is carried out.

It is proved that if $\R \leq 1$, then the disease-free equilibrium is globally asymptotically stable and if $\R > 1$, then the disease-persistence equilibrium is globally asymptotically stable.

Infectious Diseases

Mathematical and Theoretical Biology

COVID-19

Coronavirus

SEIRW Model

Local and Global Stability

Direct Lyapunov Method

Lasalle's Invariance Principle