Analysis of a delayed diffusive model with Beddington–DeAngelis functional response
2019 ◽
Vol 12
(04)
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pp. 1950047
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Keyword(s):
In this paper, a delayed diffusive phytoplankton-zooplankton model with Beddington–DeAngelis functional response and toxins is investigated. Existence of equilibria of the system are solved. The global asymptotic stability of the zooplankton-free equilibrium is obtained. The local stability of the coexistent equilibrium and existence of Hopf bifurcation are discussed. In addition, the properties of the Hopf bifurcation are studied based on the center manifold and normal form theory for partial differential equations. Finally, some numerical simulations are also carried out to confirm our theoretical analysis.
2012 ◽
Vol 8
(1)
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Keyword(s):
2011 ◽
Vol 130-134
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pp. 2550-2557
Keyword(s):
2014 ◽
Vol 926-930
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pp. 3314-3317
Keyword(s):
Keyword(s):