报告题目:Propagation dynamics of a time periodic and delayed
reaction-diffusion model without quasi-monotonicity
报 告 人:王智诚教授 (兰州大学)
报告时间:2019年4月11日(周四)下午16:30-17:30
报告地点:磬苑校区数学科学学院H306
报告摘要: In this talk, we consider a time periodic non-monotone and nonlocal delayed reaction-diffusion population model with stagestructure. We first prove the existence of the asymptotic speed $c^*$ of spread by virtue of two auxiliary equations and comparison arguments. By the method of super- and sub-solutions and the fixedpoint theorem, as applied to the truncated problem on a finite interval, and the limiting arguments, we then establish the existence of time periodic traveling wave solutions of the model system with wave speed $c>c^*$. We further use the results of the asymptotic speed of spread toobtain the nonexistence of traveling wave solutions for wave speed $c<c^*$. Finally, we prove the existence of the critical periodic traveling wave with wave speed $c=c^*$. It turns outthat the asymptotic speed of spread coincides with the minimal wave speed for positive periodic traveling waves. These results are alsoapplied to the model system with two prototypical birth functions.
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科学技术处
2019年4月10日