patches 2　A model for the relationship between adj...

patches 2　A model for the relationship between adjacent

Considering the mutual influence between adjacent patches，we can get the interactive model of the interaction between the neighboring patches：

Among them，N1（t） and N2（t） are the number of individuals of the same species in the same period in stage t.β12 is the influence coefficient of population 2 on the population 1，and the β21 is the influence coefficient of population 1 on the population 2.

The Logistic model can be modified to：

formula（4）substitution to formula（6）：

then：

We can determine the relationship between the population 1 and population 2 based on the value of γ1 and γ2.

The synergistic effect is the main factor among the populations，and the innovation resources can support the increase of the number of individuals in the populations.

The competition effect is the most important among the populations，and the innovation resources are difficult to support the increase of the number of individuals in populations.