Basic reproduction ratios for almost periodic compartmental models with time delay

摘要: Abstract The theory of basic reproduction ratio R 0 is established for a large class almost periodic and time-delayed compartmental population models. We first present some dynamical properties linear functional differential systems. By using the product space evolution semigroup approach, we then prove that − 1 has same sign as exponential growth bound an associated system. As application, apply developed to SEIR model with incubation period obtain threshold result on its global dynamics in terms . Finally, numerical simulations. Numerical simulations indicate prolonging length beneficial control disease. In addition, simple shows may be underestimated or overestimated if coefficient approximated by one.