Oscillatory traveling waves for a population diffusion model with two age classes and nonlocality induced by maturation delay

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• 作者：Majid Bani-Yaghoub (1)
  David E. Amundsen (2)
  
  1. Department of Mathematics and Statistics ; University of Missouri-Kansas City ; Kansas City ; MO ; 64110-2499 ; USA
  2. School of Mathematics and Statistics ; Carleton University ; Ottawa ; Ontario ; K1S-5B6 ; Canada
  
• 关键词：Traveling wave ; Reaction ; diffusion model ; Birth function ; Minimal speed ; 45K05 ; Integro ; partial differential equations ; 35L05 ; Wave equation ; 92B05 ; General biology and biomathematics
• 刊名：Computational and Applied Mathematics
• 出版年：2015
• 出版时间：April 2015
• 年：2015
• 卷：34
• 期：1
• 页码：309-324
• 全文大小：400 KB
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• 刊物主题：Applications of Mathematics; Computational Mathematics and Numerical Analysis; Mathematical Applications in the Physical Sciences; Mathematical Applications in Computer Science;
• 出版者：Springer Basel
• ISSN：1807-0302

文摘

Considering the traveling wave solutions of an age-structured population model, we study the propagation patterns of a single species with respect to the diffusion rates of mature and immature population. Depending on the slope of the birth function at the positive equilibrium, the monotonic wave may change to an oscillatory wave solution, when the diffusion ratio of immature versus mature population exceeds a threshold value. This has been confirmed with numerical exploration of the traveling wave solutions.