dc.contributor.author
Hu, Dandan
dc.contributor.author
Farkas, József Z.
dc.contributor.author
Huang, Gang
dc.date.accessioned
2023-11-13T15:10:14Z
dc.date.available
2023-11-13T15:10:14Z
dc.identifier
https://ddd.uab.cat/record/281242
dc.identifier
urn:10.48550/arXiv.2307.08342
dc.identifier
urn:oai:ddd.uab.cat:281242
dc.identifier
urn:oai:egreta.uab.cat:publications/e6166608-83ed-48cb-9586-a7fdb8153514
dc.identifier
urn:pure_id:356339731
dc.identifier.uri
https://hdl.handle.net/2072/452919
dc.description.abstract
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.
dc.format
application/pdf
dc.rights
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dc.rights
https://creativecommons.org/licenses/by/4.0/
dc.title
Stability results for a hierarchical size-structured population model with distributed delay
