Zhao, HaiqinWu, Shi Liang2023-05-152023-05-152022-12-12Zhao, H., & Wu, S. L. (2022). Regular traveling waves for a reaction-diffusion equation with two nonlocal delays. <i>Electronic Journal of Differential Equations, 2022</i>(82), pp. 1-16.1072-6691https://hdl.handle.net/10877/16806This article concerns regular traveling waves of a reaction-diffusion equation with two nonlocal delays arising from the study of a single species with immature and mature stages and different ages at reproduction. Establishing a necessary condition on the regular traveling waves, we prove the uniqueness of noncritical regular traveling waves, regardless of being monotone or not. Under a quasi-monotone assumption and among other things, we further show that all noncritical monotone traveling waves are exponentially stable, by establishing two comparison theorems and constructing an auxiliary lower equation.Text16 pages1 file (.pdf)enAttribution 4.0 InternationalRegular traveling frontsReaction-diffusion equationNonlocal delayUniquenessStabilityArticle