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Extinction or coexistence in periodic Kolmogorov systems of competitive type

  • * Corresponding author: C. Rebelo

    * Corresponding author: C. Rebelo 

I. Coelho and C. Rebelo have been supported by FCT projects UIDB/04621/2020 and UIDP/04621/2020 of CEMAT at FC-Universidade de Lisboa. E. Sovrano has been supported by the Fondation Sciences Mathématiques de Paris (FSMP)

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  • 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 phytoplankton competition under the effect of toxins.

    Mathematics Subject Classification: Primary: 34C25, 34D05, 92D25; Secondary: 34D20, 37C25.


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