Dynamics of a simple food chain model with a ratio-dependent functional response

作者：Ko Wonlyul; Ahn Inkyung^*

来源：Nonlinear Analysis: Real World Applications , 2011, 12(3): 1670-1680.

DOI：10.1016/j.nonrwa.2010.10.020

• Positive coexistence
• Uniqueness of positive solutions
• Global attractor
• Upper-lower solution method
• Domino effect
• Biological control

This paper considers a diffusive ratio-dependent simple food chain model. The sufficient conditions for the existence and non-existence of coexistence states are provided. In addition, this paper investigates the uniqueness of coexistence states and examines the global attractor of the time-dependent system. Moreover, in view of extinction results, the domino effect and biological control are discussed.

• 出版日期2011-6