Cakan, Sumeyye2024-08-042024-08-0420221300-00981303-6149https://doi.org/10.3906/mat-2107-41https://search.trdizin.gov.tr/yayin/detay/534642https://hdl.handle.net/11616/92654In this paper, we construct a new SEIR epidemic model reflecting the spread of infectious diseases. After calculating basic reproduction number R-0 by the next generation matrix method, we examine the stability of the model. The model exhibits threshold behavior according to whether the basic reproduction number R-0 is greater than unity or not. By using well-known Routh-Hurwitz criteria, we deal with local asymptotic stability of equilibrium points of the model according to R-0. Also, we present a mathematical analysis for the global dynamics in the equilibrium points of this model using LaSalle's Invariance Principle associated with Lyapunov functional technique and Li-Muldowney geometric approach, respectively.eninfo:eu-repo/semantics/openAccessLyapunov functionLaSalle's invariance principlethe second additive compound matrixLi-Muldowney geometric approachnext generation matrix methodbasic reproduction numberJacobian matrixRouth-Hurwitz criteriaArticle4653355110.3906/mat-2107-412-s2.0-85131922630Q2534642WOS:000715511400001Q3