Dynamics for a type of general reaction–diffusion model
- 作者：Xiao Wang ; Zhixiang Li
- 关键词：Reaction– ; diffusion equation ; Global attractivity ; Oscillation
- 刊名：Nonlinear Analysis
- 出版年：2007
- 期刊代码：43_0362546x
- 类别：mt
- 出版时间：1 November 2007
- 卷：67
- 期：9
- 页码：2699-2711
- 文件大小：309 K
摘要
In this paper, we discuss the following reaction–diffusion model which is a general form of many population models
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We study the oscillatory behavior of solutions about the positive equilibrium lick to view the MathML source">K of system (*) with Neumann boundary conditions. Sufficient and necessary conditions are obtained for global attractivity of the zero solution and acceptable conditions are established for the global attractivity of lick to view the MathML source">K. These results improve and complement existing results for system (*) without diffusion. Moreover, when these results are applied to the diffusive Nicholson’s blowflies model and the diffusive model of Hematopoiesis, some new results are obtained for the latter.