TY - JOUR
T1 - Periodic traveling fronts for partially degenerate reaction-diffusion systems with bistable and time-periodic nonlinearity
AU - Wu, Shi Liang
AU - Hsu, Cheng Hsiung
N1 - Publisher Copyright:
© 2019 Shi-Liang Wu and Cheng-Hsiung Hsu.
PY - 2019/1/1
Y1 - 2019/1/1
N2 - This paper is concerned with the periodic traveling fronts for partially degenerate reaction-diffusion systems with bistable and time-periodic nonlinearity. We first determine the signs of wave speeds for two monostable periodic traveling fronts of the system. Then, we prove the existence of periodic traveling fronts connecting two stable periodic solutions.Anestimate of thewave speed is also obtained. Further,we prove the monotonicity, uniqueness (up to a translation), Liapunov stability and exponentially asymptotical stability of the smooth bistable periodic traveling fronts.
AB - This paper is concerned with the periodic traveling fronts for partially degenerate reaction-diffusion systems with bistable and time-periodic nonlinearity. We first determine the signs of wave speeds for two monostable periodic traveling fronts of the system. Then, we prove the existence of periodic traveling fronts connecting two stable periodic solutions.Anestimate of thewave speed is also obtained. Further,we prove the monotonicity, uniqueness (up to a translation), Liapunov stability and exponentially asymptotical stability of the smooth bistable periodic traveling fronts.
KW - Bistable nonlinearity
KW - Partially degenerate systems
KW - Periodic traveling fronts
KW - Time-periodic reaction-diffusion systems
UR - http://www.scopus.com/inward/record.url?scp=85073723070&partnerID=8YFLogxK
U2 - 10.1515/anona-2020-0033
DO - 10.1515/anona-2020-0033
M3 - 期刊論文
AN - SCOPUS:85073723070
SN - 2191-9496
VL - 9
SP - 923
EP - 957
JO - Advances in Nonlinear Analysis
JF - Advances in Nonlinear Analysis
IS - 1
ER -