Optimal forager against ideal free distributed prey
报告题目(Title):Optimal forager against ideal free distributed prey
报告人(Speaker):徐霏 (加拿大劳瑞尔大学)
地点(Place):后主楼1223
时间(Time):2019年12月18日(周三) 14:00-15:00
邀请人(Inviter):张博宇
报告摘要
The introduced dispersal-foraging game is a combination of prey habitat selection between two patch types and optimal-foraging approaches. Prey's patch preference and forager behavior determine the prey's survival rate. The forager's energy gain depends on local prey density in both types of exhaustible patches and on leaving time. We introduce two game-solution concepts. The static solution combines the ideal free distribution of the prey with optimal-foraging theory. The dynamical solution is given by a game dynamics describing the behavioral changes of prey and forager. We show (1) that each stable equilibrium dynamical solution is always a static solution, but not conversely; (2) that at an equilibrium dynamical solution, the forager can stabilize prey mixed patch use strategy in cases where ideal free distribution theory predicts that prey will use only one patch type; and (3) that when the equilibrium dynamical solution is unstable at fixed prey density, stable behavior cycles occur where neither forager nor prey keep a fixed behavior.
主讲人简介
徐霏,加拿大劳瑞尔大学讲师,2003年获得加拿大西安大略大学全额奖学金,赴加拿大西安大略大学攻读博士学位。2008 在加拿大西安大略大学获得博士学位。曾在香港浸会大学物理系和加拿大劳瑞尔大学数学系做博士后。现任教于加拿大劳瑞尔大学数学系。研究方向包括博弈论,动力系统,复杂网络,生物数学,运筹学和金融数学等。