Taiwanese Journal of Mathematics

A Survey of Mathematical Models with Variable Quotas

Feng-Bin Wang and Sze-Bi Hsu

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In this paper, we shall survey recent developments in variable-internal-stores models with multiple resources or spatial/temporal inhomogeneity, which may enhance coexistence of species and diversity in competitor communities. On the other hand, it was known that basic limiting resources for growth usually include nutrients (e.g., nitrogen and phosphorus), light, and inorganic carbon. Thus, the proposed models will involve the competition between the species for nutrients (e.g., nitrogen and phosphorus), or light, or both of nutrients and light, or inorganic carbon.

Article information

Taiwanese J. Math., Volume 23, Number 2 (2019), 269-291.

Received: 6 May 2018
Accepted: 26 December 2018
First available in Project Euclid: 15 January 2019

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Mathematical Reviews number (MathSciNet)

Primary: 34C12: Monotone systems 34D20: Stability 34D23: Global stability 35K55: Nonlinear parabolic equations 37C65: Monotone flows 92D25: Population dynamics (general)

chemostat competitive exclusion coexistence variable quotas spatial variations internal storage positive periodic solution growth for light


Wang, Feng-Bin; Hsu, Sze-Bi. A Survey of Mathematical Models with Variable Quotas. Taiwanese J. Math. 23 (2019), no. 2, 269--291. doi:10.11650/tjm/190102. https://projecteuclid.org/euclid.twjm/1547521214

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