Campos vetoriais suaves por partes: modelos predador-presa
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Data
2015-03-06
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Universidade Federal de Goiás
Resumo
In this work we study the global qualitative behavior of three predator-prey models. We
analyze the existence of limit cycle and canard cycle and we investigate the kinds of
bifurcation that can occur. In the first model, Gause predator-prey with a refuge, we
analyze the effects of a prey refuge on the ecosystem qualitative behavior. Employing
the carrying capacity of the prey population in the Gause Model with a refuge we obtain
the second model, for which we analyze the effects of the carrying capacity and we
compare the results. In the third model we consider the continuous threshold harvesting
strategies ocurring when the predator density is above a certain threshold. We note that
the model has a complex dynamics with multiple internal equilibria and different types of
bifurcation.
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Citação
SILVA, L. A. Campos vetoriais suaves por partes: modelos predador-presa. 2015. 92 f. Dissertação (Mestrado em Matemática) - Universidade Federal de Goiás, Goiânia, 2015.