Stability and Hopf bifurcation of an intraguild prey-predator fishery model with two delays and Michaelis-Menten type predator harvest.
Math Biosci Eng
; 21(4): 5687-5711, 2024 Apr 22.
Article
em En
| MEDLINE
| ID: mdl-38872554
ABSTRACT
In this paper, we have proposed and investigated an intraguild predator-prey system incorporating two delays and a harvesting mechanism based on the Michaelis-Menten principle, and it was assumed that the two species compete for a shared resource. Firstly, we examined the properties of the relevant characteristic equations to derive sufficient conditions for the asymptotical stability of equilibria in the delayed model and the existence of Hopf bifurcation. Using the normal form method and the central manifold theorem, we analyzed the stability and direction of periodic solutions arising from Hopf bifurcations. Our theoretical findings were subsequently validated through numerical simulations. Furthermore, we explored the impact of harvesting on the quantity of biological resources and examined the critical values associated with the two delays.
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MEDLINE
Assunto principal:
Comportamento Predatório
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Simulação por Computador
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Dinâmica Populacional
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Ecossistema
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Cadeia Alimentar
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Pesqueiros
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Modelos Biológicos
Idioma:
En
Ano de publicação:
2024
Tipo de documento:
Article