Zaineb, NacibHanene, Mouici2021-12-132021-12-132021http//localhost:8080/jspui/handle/123456789/905The aime of thisworkis to study system of rstorderordinarydifferentialequationsisused to analyse the dynamics of COVID-19 disease via a mathematical model proposed. The global stabilityanalysisisconducted for the extended model by suitableLyapunovfunction, in whicheither susceptible or infective populations are diffusive. The stability of the diseaseisdependent on both transmission rate of the disease and the progression rate of the infectious state to isolated or hospitalized state. The number R0 canbeplayedrole in determiningwhether the diseasewillextinct or persist, if R0 < 1 then the disease-free equilibriumisgloballyasymptotically stable and unstablewhen R0>1 .enالاستقرارالمحلي ، الاستقرار العالمي ، نقاط التوازن ، دالة ليابونوفThesis