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NCTS Seminar on Mathematical Biology
10:00 - 12:00, December 6, 2019 (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 Waves for a Class of Diffusive Disease-transmission Models with Network Structures
Xueying Wang (Washington State University)


In this paper, the necessary and sufficient conditions for the existence of traveling wave solutions are derived for a class of diffusive disease-transmission models with network structures. The existence of traveling semi-fronts is obtained by Schauder’s fixed-point theorem and these traveling semi-fronts are shown to be bounded by transforming the boundedness problem into the classification problem of non-negative solutions to a linear elliptic system on . To overcome the reducibility problem arising in the proofs, a Harnack’s inequality for positive supersolutions on is proved. This is joint work with Adrian Lam and Tianran Zhang.


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