Stability and persistence of a SEIRS model with multiple ages and delay

This paper focuses on the dynamical behavior of an age-structured epidemic model including a nonlinear incidence and immune loss. For this well-posedness considered is obtained existence equilibria obtained. Then stability persistence problems are investigated for system. More precisely, disease-free equilibrium globally asymptotically stable when basic reproduction number $ R_0<1 $, while if R_0>1 solutions system uniformly persist positive has locally asymptotical stability. Additionally simple three-way partition global attractor solution semi-flow also In end some numerical simulations provided to illustrate theoretical results.