The behavior of a host-parasitoid model with host logistic growth and proportional refuge (Q6552490)
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scientific article; zbMATH DE number 7862249
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The behavior of a host-parasitoid model with host logistic growth and proportional refuge |
scientific article; zbMATH DE number 7862249 |
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The behavior of a host-parasitoid model with host logistic growth and proportional refuge (English)
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10 June 2024
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The authors investigate the existence, multiplicity and local dynamics of equilibria for a host-parasitoid model governed by a logistic equation describing the host population growth. Neimark-Sacker and period-doubling bifurcations are analyzed by regarding the parameter regulating the parasitoid's growth as a bifurcation parameter. The system is shown to be permanent. Furthermore, it is observed that the presence of the proportional refuge does not significantly influence the system's behavior compared to the system without a proportional refuge.
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difference equations
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host-parasitoid
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Neimark-Sacker bifurcation
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period-doubling bifurcation
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permanence
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stability
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