Colloquium / Seminars
Topic:Competition for resources with internal storage in variable habitats
Speaker:Prof. Feng-Bin Wang
(Chang Gung University)Date time:Mar. 3, 2020 15:00 - 16:00
Venue:SA223
Tea Party:Mar. 3, 2020 13:30 (SA205)
Abstract:
Abstract. Competition for resources is a fundamental topic in theoretical ecology. There has been a lot of mathematical models in competition studies. The simplest competition models neglect differences between individuals, using one ordinary differential equation to govern the dynamics of each species. These population dynamics are coupled to dynamics of one or more resources by assuming a constant quota of nutrient per individual, or equivalently, a constant yield of individuals from consumption of a unit of resource. In fact, quotas may vary, leading to variable-internal-stores models.
Ecologists are interested in the mechanism of coexistence/diversity in competitor communities. In this talk, I first review a mathematical model of two species competing in a well mixed chemostat for one resource that is stored internally. For this simple model, two or more species cannot coexist, a result known as the Competitive Exclusion Principle. After introducing additional factors such as multiple resources, toxin mortality, intraguild predation, and spatially/ temporally variations into the model, we find that coexistence or bistability (where outcomes depend on initial conditions) becomes possible.
This talk is based on my recent works joint with Drs. James P. Grover , Sze-Bi Hsu, Jifa Jiang, King-Yeung Lam, Hua Nie, Junping Shi, and Xiaoqiang Zhao.Download:Talk_20200303.pdf
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