Periodic solutions of a delayed predator-prey model with stage structure for predator

Rui Xu; M. A. J. Chaplain; F. A. Davidson

doi:10.1155/S1110757X04308090

Journal of Applied Mathematics (Jan 2004)

Periodic solutions of a delayed predator-prey model with stage structure for predator

Rui Xu,
M. A. J. Chaplain,
F. A. Davidson

Affiliations

Rui Xu: Department of Mathematics, Institute of Shijiazhuang Mechanical Engineering, Hebei Province, Shijiazhuang 050003, China
M. A. J. Chaplain: Department of Mathematics, University of Dundee, Dundee DD1 4HN, UK
F. A. Davidson: Department of Mathematics, University of Dundee, Dundee DD1 4HN, UK

DOI: https://doi.org/10.1155/S1110757X04308090
Journal volume & issue: Vol. 2004, no. 3
pp. 255 – 270

Abstract

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A periodic time-dependent Lotka-Volterra-type predator-prey model with stage structure for the predator and time delays due to negative feedback and gestation is investigated. Sufficient conditions are derived, respectively, for the existence and global stability of positive periodic solutions to the proposed model.

Published in Journal of Applied Mathematics

ISSN: 1110-757X (Print); 1687-0042 (Online)
Publisher: Wiley
Country of publisher: United Kingdom
LCC subjects: Science: Mathematics
Website: https://onlinelibrary.wiley.com/journal/4185

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