A Lotka-Volterra competition model with seasonal succession

作者：Hsu Sze Bi; Zhao Xiao Qiang^*

来源：Journal of Mathematical Biology, 2012, 64(1-2): 109-130.

DOI：10.1007/s00285-011-0408-6

• Lotka-Volterra model
• Seasonal succession
• The period map
• Periodic solutions
• Global stability
• Saddle-point structure

A complete classification for the global dynamics of a Lotka-Volterra two species competition model with seasonal succession is obtained via the stability analysis of equilibria and the theory of monotone dynamical systems. The effects of two death rates in the bad season and the proportion of the good season on the competition outcomes are also discussed.

• 出版日期2012-1
• 单位清华大学