Friday, August 11

Mathematical Population Models of Ratio-Dependence Type

10:00 AM-12:00 PM
Plumeria & Tiare (Salon 9 & 10)

Population models in ecology are usually modelled by equations of Lotka-Volterra type or Holling type. Recently, there is a growing evidences that in many situations a more suitable general predator-prey theory should be based on the so called ratio-dependence theory. In this minisymposium, Professor Kuang will introduce various population models of ratio-dependence and explain their biological meanings. Professor Hwang will present the mathematical analysis of a predator-prey of ratio-dependence. Professor Hsu will present the mathematical results of models of multiple species interactions with ratio-dependence, for example, one prey-two predators, food chain models.

Organizers: Sze-Bi Hsu
Tsing-Hua University,Taiwan
Yang Kuang
Arizona State University, USA
10:00-10:25 Mathematical Population Models with Ratio-Dependence
Yang Kuang, Organizer
10:30-10:55 Global Analysis of the Michaelis-Mentye Ratio-Dependence Predator-Prey Systems
Tzy-Wei Hwang, Kaohsiung Normal University, Taiwan
11:00-11:25 Mathematical Analysis of Models of Multiple Species Interactions with Ratio-Dependence
Sze-Bi Hsu, Organizer
11:30-11:55 Title to be determined
Speaker to be determined

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