RT info:eu-repo/semantics/article
T1 The Convergence Analysis of a Numerical Method for a Structured Consumer-Resource Model with Delay in the Resource Evolution Rate
A1 Abia Llera, Luis María
A1 Angulo Torga, Óscar
A1 López Marcos, Juan Carlos
A1 López Marcos, Miguel Ángel
K1 delay differential equation
K1 numerical methods
K1 characteristics method
K1 size-structured population
K1 consumer-resource model
K1 1206.13 Ecuaciones Diferenciales en Derivadas Parciales
AB In this paper, we go through the development of a new numerical method to obtain thesolution to a size-structured population model that describes the evolution of a consumer feeding on adynamical resource that reacts to the environment with a lag-time response. The problem involves thecoupling of the partial differential equation that represents the population evolution and an ordinarydifferential equation with a constant delay that describes the evolution of the resource. The numericaltreatment of this problem has not been considered before when a delay is included in the resourceevolution rate. We analyzed the numerical scheme and proved a second-order rate of convergence byassuming enough regularity of the solution. We numerically confirmed the theoretical results with anacademic test problem.
PB MPDI
YR 2020
FD 2020
LK https://uvadoc.uva.es/handle/10324/82306
UL https://uvadoc.uva.es/handle/10324/82306
LA spa
NO Mathematics, 2020, vol. 8, n. 1440
NO Producción Científica
DS UVaDOC
RD 29-ene-2026