Extinction or coexistence in periodic Kolmogorov systems of competitive type

Coelho, Isabel; Rebelo, Carlota; Sovrano, Elisa

http://hdl.handle.net/10400.21/14837

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Authors

Coelho, Isabel

Rebelo, Carlota

Sovrano, Elisa

Abstract(s)

We study a periodic Kolmogorov system describing two species nonlinear competition. We discuss coexistence and extinction of one or both species, and describe the domain of attraction of nontrivial periodic solutions in the axes, under conditions that generalise Gopalsamy conditions. Finally, we apply our results to a model of microbial growth and to a model of phyto-plankton competition under the e_ect of toxins.

Keywords

Periodic Kolmogorov system Extinction Coexistence

URI

http://hdl.handle.net/10400.21/14837

Citation

COELHO, Isabel; REBELO, Carlota; SOVRANO, Elisa – Extinction or coexistence in periodic Kolmogorov systems of competitive type. Discrete & Continuous Dynamical Systems. ISSN 1078-0947. Vol. 41, N.º 12 (2021), pp. 5743-5764.