Estimating effective boundaries of population growth in a variable environment
2016 (English)In: Boundary Value Problems, ISSN 1687-2762, E-ISSN 1687-2770, 1-28 p., 2016:172Article in journal (Refereed) Published
We study the impact of age-structure and temporal environmental variability on the persistence of populations. We use a linear age-structured model with time-dependent vital rates. It is the same as the one presented by Chipot in (Arch. Ration. Mech. Anal. 82(1):13-25, 1983), but the assumptions on the vital rates are slightly different. Our main interest is in describing the large-time behavior of a population provided that we know its initial distribution and transient vital rates. Using upper and lower solutions for the characteristic equation, we define time-dependent upper and lower boundaries for a solution in a constant environment. Moreover, we estimate solutions for the general time-dependent case and also for a special case when the environment is changing periodically.
Place, publisher, year, edition, pages
SpringerOpen , 2016. 1-28 p., 2016:172
age-structure, time-dependency, environmental variability, population growth, upper and lower bounds, periodic oscillations
Probability Theory and Statistics Computational Mathematics
IdentifiersURN: urn:nbn:se:liu:diva-131558DOI: 10.1186/s13661-016-0681-9OAI: oai:DiVA.org:liu-131558DiVA: diva2:974355