演講公告

新聞標題：　( 2015-10-20 )

• 演講主題：Does CEP Hold with Diffusive Effect? –Traveling Wave Solutions of Lotka-Volterra Type Two Predators-One Prey models

• 主講人：楊定揮教授 (淡江大學數學系)

• 演講日期：2015年11月3日(星期二) 下午2:00 –3:00

• 演講地點：(光復校區) 科學一館223室

• 茶會時間：當天下午1:30 (科學一館205室)

• 摘要內容：
  

  In this work, we consider a three species diffusive food web model with one basal resource and two predators feeding by the same resource. It is well known that these two predators cannot coexist due to the Competitive Exclusion Principle. However, there are three non-trivial boundary equilibria. One the the saturated state of the prey without any predator $E_K$. Another two equilibria, $E_1$ and $E_2$, are the coexistence of the prey and one predator, respectively. With a generic assumption, $E_2$ is globally asymptotically stable in the corresponding kinetic equation. Biologically, the assumption means one predator is superior in the resource exploitation. By a high dimensional shooting method, the Wazewski’ principle, we show the existence of traveling wave solutions from $E_K$ to $E_2$ and $E_1$ to $E_2$. Finally, some numerical simulations are presented and some biological interpretations are given.

• 相關檔案：演講1041103.doc




• 相關檔案：演講1041103.odt

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