Growth bound and threshold dynamic for nonautonomous nondensely defined evolution problems /Djidjou-Demasse, Ramsès Goudiaby, I. Seydi, O. Reproduction number Growth bound Threshold dynamics Evolutionary systems We propose a general framework for simultaneously calculating the threshold value for population growth and determining the sign of the growth bound of the evolution family generated by the problem below dv(t)/dt = Av(t) + F(t)v(t) - V(t)v(t), where A : D(A) subset of X -> X is a Hille-Yosida linear operator (possibly unbounded, non-densely defined) on a Banach space (X, vertical bar vertical bar center dot vertical bar vertical bar), and the maps t is an element of R bar right arrow V(t) is an element of L(X-0, X), t is an element of R bar right arrow F(t) is an element of L(X-0, X) are p-periodic in time and continuous in the operator norm topology. We give applications of our approach for two general examples of an age-structured model, and a delay differential system. Other examples concern the dynamics of a nonlocal problem arising in population genetics and the dynamics of a structured human-vector malaria model. 2023 text https://www.documentation.ird.fr/hor/fdi:010090044 fdi:010090044 Djidjou-Demasse Ramsès, Goudiaby I., Seydi O.. Growth bound and threshold dynamic for nonautonomous nondensely defined evolution problems. 2023, 87 (2), 32 [31 ] EN