RT info:eu-repo/semantics/article
T1 Computational Study on the Dynamics of a Consumer-Resource Model: The Influence of the Growth Law in the Resource
A1 Abia Llera, Luis María
A1 Angulo Torga, Óscar
A1 López Marcos, Juan Carlos
A1 López Marcos, Miguel Ángel
K1 size-structured population
K1 numerical methods
K1 characteristics method
K1 growth laws
K1 asymptotic behaviour
K1 Daphnia magna
K1 1206.13 Ecuaciones Diferenciales en Derivadas Parciales
AB The dynamics of a specific consumer-resource model for Daphnia magna is studied froma numerical point of view. In this study, Malthusian, chemostatic, and Gompertz growth laws forthe evolution of the resource population are considered, and the resulting global dynamics of themodel are compared as different parameters involved in the model change. In the case of Gompertzgrowth law, a new complex dynamic is found as the carrying capacity for the resource populationincreases. The numerical study is carried out with a second-order scheme that approximates thesize-dependent density function for individuals in the consumer population. The numerical methodis well adapted to the situation in which the growth rate for the consumer individuals is allowed tochange the sign and, therefore, individuals in the consumer population can shrink in size as timeevolves. The numerical simulations confirm that the shortage of the resource has, as a biologicalconsequence, the effective shrink in size of individuals of the consumer population. Moreover, thechoice of the growth law for the resource population can be selected by how the dynamics of thepopulations match with the qualitative behaviour of the data.
PB MPDI
YR 2021
FD 2021
LK https://uvadoc.uva.es/handle/10324/82305
UL https://uvadoc.uva.es/handle/10324/82305
LA spa
NO Mathematics, 2021, vol 9, n. 2746.
NO Producción Científica
DS UVaDOC
RD 29-ene-2026