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April, 2019 Mathematical Analysis on a Droop Model with Intraguild Predation
Sze-Bi Hsu, Yi-hui Ho, Feng-Bin Wang
Taiwanese J. Math. 23(2): 351-373 (April, 2019). DOI: 10.11650/tjm/181011

Abstract

In this paper, we analyze a predator-prey chemostat system with internal storage, in which the predator not only competes for a single inorganic nutrient with the prey species but also consumes the prey for growth. The outcome for the corresponding model without intraguild predation is that the competitive exclusion holds, that is, the superior species will win the competition, and coexistence will not happen. When the mechanism of intraguild predation is added into the system, our analysis indicates that coexistence can be possible.

Citation

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Sze-Bi Hsu. Yi-hui Ho. Feng-Bin Wang. "Mathematical Analysis on a Droop Model with Intraguild Predation." Taiwanese J. Math. 23 (2) 351 - 373, April, 2019. https://doi.org/10.11650/tjm/181011

Information

Received: 26 June 2018; Revised: 5 October 2018; Accepted: 29 October 2018; Published: April, 2019
First available in Project Euclid: 8 November 2018

zbMATH: 07055573
MathSciNet: MR3936004
Digital Object Identifier: 10.11650/tjm/181011

Subjects:
Primary: 34C12 , 34D20 , 92D25

Keywords: Coexistence , competition , Droop's model , internal storage , intraguild predation

Rights: Copyright © 2019 The Mathematical Society of the Republic of China

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Vol.23 • No. 2 • April, 2019
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