RT info:eu-repo/semantics/article
T1 A convergence analysis for the approximation to the solution of an age-structured population model with infinite lifespan
A1 Abia Llera, Luis María
A1 Angulo Torga, Óscar
A1 López Marcos, Juan Carlos
A1 López Marcos, Miguel Ángel
K1 Age-structured population
K1 Unbounded life-span
K1 Convergence analysis
K1 Numerical methods
K1 Squirrel model
AB Considering the numerical approximation of the density distribution for an age-structuredpopulation model with unbounded lifespan on a compact interval [0, 𝑇���� ], we prove second orderof convergence for a discretization that adaptively selects its truncated age-interval according tothe exponential rate of decay with age of the solution of the model. It appears that the adaptivecapacity of the length in the truncated age-interval of the discretization to the infinity lifespan isa very convenient approach for a long-time integration of the model to establish the asymptoticbehavior of its dynamics numerically. The analysis of convergence uses an appropriate weightedmaximum norm with exponential weights to cope with the unbounded age lifespan. We reportexperiments to exhibit numerically the theoretical results and the asymptotic behavior of thedynamics for an age-structured squirrel population model introduced by Sulsky.
PB Elsevier
SN 0378-4754
YR 2025
FD 2025
LK https://uvadoc.uva.es/handle/10324/82302
UL https://uvadoc.uva.es/handle/10324/82302
LA spa
NO Mathematics and Computers in Simulation, 2025, vol. 229, p. 636–651
DS UVaDOC
RD 29-ene-2026