A model of internal innovation population relati...
According to the Logistic model:

gtrepresents the growth rate of population in stage t,Nt indicates the number of individuals in stage t.Nt/Krepresents the amount of resources occupied by the population in stage t,the per unit occupancy of resources in the innovation population is 1/K.
because:

so:
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ΔN(t) represents the changed number of individuals in a population in stage t.β1=α,β1>0,it represents the synergy effect within populations.β2=-α/K,β2<0,it represents the internal competition effect,it is called coefficient of internal competition or coefficient of population density.
Formula(2)deformation:

In the population,the synergistic effect is the main factor,and the innovation resources can support the increase of the number of individuals in the population.
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The competition effect is the main factor in the population,and the innovation resources are difficult to support the increase of the number of individuals in the population.