Non-existence of non-constant positive steady states of two Holling type-II predator-prey systems: Strong interaction case

作者：Peng Rui^*; Shi Junping

来源：Journal of Differential Equations, 2009, 247(3): 866-886.

DOI：10.1016/j.jde.2009.03.008

• Predator-prey model
• Holling type-II functional response
• Reaction-diffusion
• Positive steady state
• Non-existence
• Global bifurcation

We prove the non-existence of non-constant positive steady state solutions of two reaction-diffusion predator-prey models with Holling type-II functional response when the interaction between the predator and the prey is strong. The result implies that the global bifurcating branches of steady state solutions are bounded loops.

• 出版日期2009-8-1
• 单位哈尔滨师范大学; 三峡大学