Regular traveling waves for a reaction-diffusion equation with two nonlocal delays

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dc.contributor.authorZhao, Haiqin
dc.contributor.authorWu, Shi Liang
dc.date.accessioned2023-05-15T20:28:47Z
dc.date.available2023-05-15T20:28:47Z
dc.date.issued2022-12-12
dc.description.abstractThis 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.
dc.description.departmentMathematics
dc.formatText
dc.format.extent16 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationZhao, 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.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/16806
dc.language.isoen
dc.publisherTexas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2022, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectRegular traveling fronts
dc.subjectReaction-diffusion equation
dc.subjectNonlocal delay
dc.subjectUniqueness
dc.subjectStability
dc.titleRegular traveling waves for a reaction-diffusion equation with two nonlocal delaysen_US
dc.typeArticle

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