Open this publication in new window or tab >>2016 (English)In: Proceedings of the 16th International Conference on Mathematical Methods in Science and Engineering, July 4-8, Rota, Cadiz, Spain, Vol. III / [ed] J. Vigo-Aguiar, Universidad de Cádiz , 2016, Vol. 3, p. 717-727Chapter in book (Refereed)
Abstract [en]
We consider a system of nonlinear partial differential equations that describes an age-structured population living in changing environment on $N$ patches. We prove existence and uniqueness of solution and analyze large time behavior of the system in time-independent case and for periodically changing environment. Under the assumption that every patch can be reached from every other patch, directly or through several intermediary patches, and that net reproductive operator has spectral radius larger than one, we prove that population is persistent on all patches. If the spectral radius is less or equal one, extinction on all patches is imminent.
Place, publisher, year, edition, pages
Universidad de Cádiz, 2016
Keywords
age-structure, persistence, Kermack-McKendrick equation, Lotcka-Volterra equation
National Category
Biological Sciences Mathematics
Identifiers
urn:nbn:se:liu:diva-130231 (URN)9788460860822 (ISBN)
Conference
Conference on Computational and Mathematical Methods in Science and Engineering, CMMSE 2016
Note
Associate Editors
P. Schwerdtfeger (New Zealand), W. Sprößig (Germany), N. Stollenwerk (Portugal), Pino Caballero (Spain), J. Cioslowski (Poland), J. Medina (Spain), I. P. Hamilton (Canada), J. A. Alvarez-Bermejo (Spain)
2016-07-212016-07-212016-08-31Bibliographically approved