【摘 要】
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In this talk,we present our new results on stability of oscillatory traveling waves for a class of reaction-diffusion equations with time-delay.The typical mode
【机 构】
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McGillUniversity/ChamplainCollege
【出 处】
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2014年非线性偏微分方程的演化国际会议
论文部分内容阅读
In this talk,we present our new results on stability of oscillatory traveling waves for a class of reaction-diffusion equations with time-delay.The typical model is the Nicholsons blowflies equation.When the birth rate function is non-monotone,the equation losses its monotonicity,and the traveling waves are oscillating for a large time-delay.These cause the study totally different from the monotone case,and will be more challenging.By using the technical weighted energy method with some new development,and the Halanays inequality,we prove that,for all non-critical monotone/non-monotone traveling waves,they are time-exponentially stable,and for all critical monotone/non-monotone traveling waves,they are time-algebraically stable.Some numerical computations will be also reported,which further confirm and support our theoretical results.
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