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NCTS Seminar on Mathematical Biology
14:30 - 16:30, March 17, 2017 (Friday)
Lecture Room B, 4th Floor, The 3rd General Building, NTHU
(清華大學綜合三館 4樓B演講室)
Traveling Wave Solution of Three Species Model with Intraguild Predation
Ting-Hui Yang (Tamkang University)


The aim of this work is to investigate the existence and non-existence of traveling wave solutions for a diffusive three species model involving omnivory. The minimal speed c∗of traveling wave solutions of the model is charaterized. If the wave speed is greater than or equal to c∗, we show the existence of traveling wave solutions con- necting trivial and positive equilibria by combining the upper and lower solutions with the contracting rectangle. On the other hand, if the wave speed is less than c∗, the non-existence of such solutions is also established. Finally, to illustrate our theoretical results, some numerical simulations are performed and biological meanings are interpreted.


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