Djidjou-Demasse Ramsès, Goudiaby I., Seydi O. (2023). Growth bound and threshold dynamic for nonautonomous nondensely defined evolution problems. Journal of Mathematical Biology, 87 (2), p. 32 [31 p.]. ISSN 0303-6812.
Titre du document
Growth bound and threshold dynamic for nonautonomous nondensely defined evolution problems
Journal of Mathematical Biology, 2023,
87 (2), p. 32 [31 p.] ISSN 0303-6812
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.
Plan de classement
Sciences fondamentales / Techniques d'analyse et de recherche [020]
