Special Session 8: Propagation Phenomena Appearing in Reaction-Di↵usion Systems
نویسندگان
چکیده
To study the spiral wave in an unbounded excitable medium, we consider the wave front interaction model which derived by Zykov in 2007. This model consists of two systems of ordinary di↵erential equations which describe the wave front and wave back, respectively. First, we derive some properties of the back by shooting argument and comparison principle. Next we show the global existence of the solution of the back. Then, we study its asymptotic behavior at infinity. Finally, we prove the uniqueness of the solution.
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