2026-04-13T02:17:28Zhttps://recercat.cat/oai/request

oai:recercat.cat:2072/4529192023-11-13T15:10:14Zcom_2072_98col_2072_378195

2023-11-13T15:10:14Z urn:hdl:2072/452919 Stability results for a hierarchical size-structured population model with distributed delay Hu, Dandan Farkas, József Z. Huang, Gang In this paper we investigate a structured population model with distributed delay. Our model incorporates two different types of nonlinearities. Specifically we assume that individual growth and mortality are affected by scramble competition, while fertility is affected by contest competition. In particular, we assume that there is a hierarchical structure in the population, which affects mating success. The dynamical behavior of the model is analysed via linearisation by means of semigroup and spectral methods. In particular, we introduce a reproduction function and use it to derive linear stability criteria for our model. Further we present numerical simulations to underpin the stability results we obtained. 2023-11-13T15:10:14Z 2023-11-13T15:10:14Z 2023 Prepublicació http://hdl.handle.net/2072/452919 open access Aquest document està subjecte a una llicència d'ús Creative Commons. Es permet la reproducció total o parcial, la distribució, la comunicació pública de l'obra i la creació d'obres derivades, fins i tot amb finalitats comercials, sempre i quan es reconegui l'autoria de l'obra original. https://creativecommons.org/licenses/by/4.0/