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On the Dynamical Behavior of Toxic-Phytoplankton-Zooplankton Model with Delay
Joint Authors
Rehim, Mehbuba
Wu, Weixin
Muhammadhaji, Ahmadjan
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-02-17
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
A toxin producing phytoplankton-zooplankton model with inhibitory exponential substrate and time delay has been formulated and analyzed.
Since the liberation of toxic substances by phytoplankton species is not an instantaneous process but is mediated by some time lag required for maturity of the species and the zooplankton mortality due to the toxic phytoplankton bloom occurs after some time laps of the bloom of toxic phytoplankton, we induced a discrete time delay to both of the consume response function and distribution of toxic substance term.
Furthermore, based on the fact that the predation rate decreases at large toxic-phytoplankton density, the system is modelled via a Tissiet type functional response.
We study the dynamical behaviour and investigate the conditions to guarantee the coexistence of two species.
Analytical methods and numerical simulations are used to obtain information about the qualitative behaviour of the models.
American Psychological Association (APA)
Rehim, Mehbuba& Wu, Weixin& Muhammadhaji, Ahmadjan. 2015. On the Dynamical Behavior of Toxic-Phytoplankton-Zooplankton Model with Delay. Discrete Dynamics in Nature and Society،Vol. 2015, no. 2015, pp.1-13.
https://search.emarefa.net/detail/BIM-1060759
Modern Language Association (MLA)
Rehim, Mehbuba…[et al.]. On the Dynamical Behavior of Toxic-Phytoplankton-Zooplankton Model with Delay. Discrete Dynamics in Nature and Society No. 2015 (2015), pp.1-13.
https://search.emarefa.net/detail/BIM-1060759
American Medical Association (AMA)
Rehim, Mehbuba& Wu, Weixin& Muhammadhaji, Ahmadjan. On the Dynamical Behavior of Toxic-Phytoplankton-Zooplankton Model with Delay. Discrete Dynamics in Nature and Society. 2015. Vol. 2015, no. 2015, pp.1-13.
https://search.emarefa.net/detail/BIM-1060759
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1060759