Dynamics of a meta-population model with two competing species

作者：Qiu Zhipeng^*

来源：Nonlinear Analysis: Real World Applications , 2011, 12(3): 1546-1554.

DOI：10.1016/j.nonrwa.2010.10.012

• Meta-population model
• Competition
• Stability
• Patchy habitat
• Differential equation

In this paper, a meta-population model proposed by Haski [I. Hanski, Coexistence of competitors in patchy environment, Ecology 64 (1983) 493-500] is studied. The model involves two competing species, and allows for a varying difference between local and regional time scales. Four parameters R(i), R(i), i = 1,2 are defined for species i. Our results show that R(i), R(i) are the thresholds which determine the invasion of species i into the empty patches and the patches occupied by species j, j = 1, 2, j not equal i, respectively. If R(1) > 1 and R(2) > 1 the coexistence of two competing species is proved by the theory of uniform persistence. For the pure migration competition case the results indicate that the limit set of the system is a closed orbit if it contains no equilibria.

• 出版日期2011-6
• 单位南京理工大学