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Evolution of mobility in predator-prey systems
澳门新葡8455最新网站:2019年12月24日 10:47 点击数:

报告人:Xu Fei

报告地点:澳门新葡8455最新网站111室

报告澳门新葡8455最新网站:2019年12月26日星期四15:30-16:30

邀请人:范猛

报告摘要:

In this talk, we investigate the dynamics of a predator-prey system with the assumption that both prey and predators use game theory-based strategies to maximize their per capita population growth rates. The predators adjust their strategies in order to catch more prey per unit time, while the prey, on the other hand, adjust their reactions to minimize the chances of being caught. We assume each individual is either mobile or sessile and investigate the evolution of mobility for each species in the predator-prey system. When the underlying population dynamics is of the Lotka-Volterra type, we show that strategies evolve to the equilibrium predicted by evolutionary game theory and that population sizes approach their corresponding stable equilibrium (i.e. strategy and population effects can be analyzed separately). This is no longer the case when population dynamics is based on the Holling II functional response, although the strategic analysis still provides a valuable intuition into the long term outcome. Numerical simulation results indicate that, for some parameter values, the system has chaotic behavior. Our investigation reveals the relationship between the game theory-based reactions of prey and predators, and their population changes.

主讲人概况:

徐霏,于2008年在加拿大西安大略大学获得博士学位。读博士期间获得全额奖学金。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。研究方向包括生物数学,动力系统,博弈论,混沌和复杂网络。

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