id author title date pages extension mime words sentence flesch summary cache txt iajs-2624 AL-Husseiny, Hassan F.; Mohsen, Ahmed A.; Zhou, Xueyong The Effect of Individuals Asymptomatic (Carrier) on The Dynamical Behavior Of a COVID-19 Virus 2021 14 .pdf application/pdf 4815 257 71 This model describes COVID-19 virus by the following equations: 𝑆�̇� = πœ“ βˆ’ 𝛼𝑆𝑒 βˆ’ 𝛽𝑆𝑒𝑣 βˆ’ πœŽπ‘†π‘’πΆ βˆ’ πœ‡π‘†π‘’ 𝑆�̇� = 𝛼𝑆𝑒 βˆ’ 𝛽1(1 βˆ’ πœ–)π‘†π‘Žπ‘£ βˆ’ 𝜎1(1 βˆ’ πœ–)π‘†π‘ŽπΆ βˆ’ πœ‡π‘†π‘Ž οΏ½Μ‡οΏ½ = 𝛽𝑆𝑒𝑣 + 𝛽1(1 βˆ’ πœ–)π‘†π‘Žπ‘£ + πœŽπ‘†π‘’πΆ + 𝜎1(1 βˆ’ πœ–)π‘†π‘ŽπΆ βˆ’ (πœ‡ + πœƒ + 𝛾 + 𝛿1)𝐢 𝐼̇ = 𝛾𝐢 βˆ’ (πœ‡ + πœƒ + 𝛿2)𝐼 οΏ½Μ‡οΏ½ = 𝛿1𝐢 + 𝛿2𝐼 βˆ’ πœ‡π‘… οΏ½Μ‡οΏ½ = π‘Ÿπ‘£ (1 βˆ’ 𝑣 π‘˜ ) Consequently, for simplifying, system (1) can be reduced to the following system, in which we can determine the values of I and R, by solving it, 𝑆�̇� = πœ“ βˆ’ 𝛼𝑆𝑒 βˆ’ 𝛽𝑆𝑒𝑣 βˆ’ πœŽπ‘†π‘’πΆ βˆ’ πœ‡π‘†π‘’ 𝑆�̇� = 𝛼𝑆𝑒 βˆ’ 𝛽1(1 βˆ’ πœ–)π‘†π‘Žπ‘£ βˆ’ 𝜎1(1 βˆ’ πœ–)π‘†π‘ŽπΆ βˆ’ πœ‡π‘†π‘Ž οΏ½Μ‡οΏ½ = 𝛽𝑆𝑒𝑣 + 𝛽1(1 βˆ’ πœ–)π‘†π‘Žπ‘£ + πœŽπ‘†π‘’πΆ + 𝜎1(1 βˆ’ πœ–)π‘†π‘ŽπΆ βˆ’ (πœ‡ + πœƒ + 𝛾 + 𝛿1)𝐢 οΏ½Μ‡οΏ½ = π‘Ÿπ‘£ (1 βˆ’ 𝑣 π‘˜ ) cache/iajs-2624.pdf txt/iajs-2624.txt