Djidjou-Demasse Ramsès auteur aut IRD Goudiaby I. auteur aut IRD Seydi O. auteur aut IRD text journalArticle eng text/pdf born digital access 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. specialized Reproduction number Growth bound Threshold dynamics Evolutionary systems 020 87 2 32 [31 ] 2023 0303-6812 https://www.documentation.ird.fr/hor/fdi:010090044 10.1007/s00285-023-01966-w 0303-6812 [F B010090044] https://www.documentation.ird.fr/hor/fdi:010090044 https://www.documentation.ird.fr/intranet/publi/2023-09/010090044.pdf Accès réservé (Intranet de l'IRD) IRD - Base Horizon / Pleins textes 2023-09-22 2025-02-24 fdi:010090044 fre