Hopf bifurcation analysis in a neutral predator-prey model with age structure in prey

Duan, Daifeng and Fan, Qiuhua and Guo, Yuxiao: Hopf bifurcation analysis in a neutral predator-prey model with age structure in prey. (2019)

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Abstract

We show a detailed study on the dynamics of a neutral delay differential population model with age structure in the prey species. By selecting the mature delay as a bifurcation parameter, we obtain the stability and Hopf bifurcations of the coexistence equilibrium. Moreover, by computing the normal form on the center manifold, we give the formulas determining the stability of periodic solutions and the direction of Hopf bifurcation. Finally, we give some numerical simulations to support and strengthen the theoretical results.

Item Type: Journal
Publication full: Electronic journal of qualitative theory of differential equations
Date: 2019
Number: 30
ISSN: 1417-3875
Page Range: pp. 1-13
DOI: https://doi.org/10.14232/ejqtde.2019.1.30
Uncontrolled Keywords: Bifurkációelmélet
Additional Information: Bibliogr.: p. 11-13. ; összefoglalás angol nyelven
Date Deposited: 2019. Sep. 27. 12:07
Last Modified: 2020. Jul. 29. 12:24
URI: http://acta.bibl.u-szeged.hu/id/eprint/62108

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