### Friday, August 11

## MS30

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