Abstract
For a three-dimensional periodic Lotka–Volterra system, the asymptotic behaviour of its positive solutions is investigated. More specifically, we give suitable average conditions which lead to extinction of the competitively inferior species and global stable coexistence of the two remaining predator and prey species.
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Mathematics Subject Classification (2000) 34D25, 34D23, 34C25, 92D25
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Lisena, B. Asymptotic behaviour in periodic three species predator–prey systems. Annali di Matematica 186, 85–98 (2007). https://doi.org/10.1007/s10231-005-0171-7
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DOI: https://doi.org/10.1007/s10231-005-0171-7