Publicação
Extinction or coexistence in periodic Kolmogorov systems of competitive type
| Resumo: | 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. |
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| Autores principais: | Coelho, Isabel |
| Outros Autores: | Rebelo, Carlota; Sovrano, Elisa |
| Assunto: | Periodic Kolmogorov system Extinction Coexistence |
| Ano: | 2021 |
| País: | Portugal |
| Tipo de documento: | artigo |
| Tipo de acesso: | acesso restrito |
| Instituição associada: | Instituto Politécnico de Lisboa |
| Idioma: | inglês |
| Origem: | Repositório Científico do Instituto Politécnico de Lisboa |
| Resumo: | 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. |
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