【4/18專題演講】楊定揮教授-Travelling wave solutions for delayed Kolmogorov-type reaction–diffusion systems and its applications
主題：Travelling wave solutions for delayed Kolmogorov-type reaction–diffusion systems and its applications
講者：淡江大學 數學系楊定揮教授
時間：105年4月18日13：30-15：00
地點：民生校區五育樓4樓401教室
摘要：
In this work, we investigates the existence and non-existence of travelling wave solutions for Kolmogorov- type delayed lattice reaction–diffusion systems. Employing the cross iterative technique coupled with the explicit construction of upper and lower solutions in the theory of quasimonotone dynamical systems, we can find two threshold speeds c^* and c_* with c^* >= c_* > 0. If the wave speed is greater than c^*, then we establish the existence of travelling wave solutions connecting two different equilibria. On the other hand, if the wave speed is smaller than c_*, we further prove the non-existence result of travelling wave solutions. Finally, several ecological examples including one-species, two-species and three-species models with various functional responses and time delays are presented to illustrate the analytical results.
講者：淡江大學 數學系楊定揮教授
時間：105年4月18日13：30-15：00
地點：民生校區五育樓4樓401教室
摘要：
In this work, we investigates the existence and non-existence of travelling wave solutions for Kolmogorov- type delayed lattice reaction–diffusion systems. Employing the cross iterative technique coupled with the explicit construction of upper and lower solutions in the theory of quasimonotone dynamical systems, we can find two threshold speeds c^* and c_* with c^* >= c_* > 0. If the wave speed is greater than c^*, then we establish the existence of travelling wave solutions connecting two different equilibria. On the other hand, if the wave speed is smaller than c_*, we further prove the non-existence result of travelling wave solutions. Finally, several ecological examples including one-species, two-species and three-species models with various functional responses and time delays are presented to illustrate the analytical results.