A planktonic resource-consumer model with a temporal delay in nutrient recycling

作者：Gao Meng^*; Shi Honghua; Li Zizhen

来源：Journal of Mathematical Analysis and Applications, 2008, 339(1): 511-516.

DOI：10.1016/j.jmaa.2007.07.009

• feedback loop
• stability analysis
• numerical simulations

A planktonic resource-consumer model is investigated analytically as well as numerically. A feedback loop and a temporal delay are considered. The local asymptotical stability of the non-trivial equilibrium is discussed. Using Lyapunov functional technique, the global stability of the non-trivial equilibrium is also discussed for a linear uptake term. In conclusion, we show that the introduction of a temporal delay in nutrient recycling can destabilize the system and periodic solution can arise. Finally, numerical simulations are performed to illustrate the dynamical behaviors.

• 出版日期2008-3-1
• 单位兰州大学; 中国海洋大学