Asymptotic behavior of the reaction-diffusion model of plankton allelopathy with nonlocal delays

作者：Li, Zhong^*; Chen, Fengde; He, Mengxin

来源：Nonlinear Analysis: Real World Applications , 2011, 12(3): 1748-1758.

DOI：10.1016/j.nonrwa.2010.11.007

• Global stability
• Plankton allelopathy
• Extinction
• Diffusion
• Nonlocal delays

In this paper, we consider a reaction-diffusion model of plankton allelopathy with nonlocal delays. Using an iterative technique, the global stability of the positive steady state and the semi-trivial steady states of the system is investigated under some weaker conditions than those assumed in Tian et al. [C.R. Tian, L. Zhang and Z. Ling, The stability of a diffusion model of plankton allelopathy with atio-temporal delays, Nonlinear Anal. RWA 10 (2009) 2036-2046]. We also show that toxic substances and nonlocal delays are harmless for the stability of the positive steady state. Finally, some examples are presented to verify our main results.

• 出版日期2011-6
• 单位福州大学