The phrase "a function of populated" is not correct and does not convey a clear meaning in written English.
It may be intended to describe something that is influenced or determined by the population, but the phrasing is awkward and unclear.
Example: "The economic growth rate is a function of populated areas, as urban centers tend to attract more investment."
Alternatives: "dependent on population" or "influenced by population density".
Given the distribution of population, the growth function of populated locations and the largest population size, we insert the above expressions of P s,t), l(t), and n(t) as shown in Eq. 4, Eq. 5 and Eq. 6 into Eq. 3. Then we have GP ( t ) = ∫ 1 a ∗ t b + c ( ( φ ∗ s - λ ) ∗ ( η ∗ t ε ) ∗ s ) ds = ηφ t ε 2 - λ [ ( a ∗ t b + c ) 2 - λ - 1 ].
(a) Renren, the growth of population as a function of time in the largest populated location, follows a power function: n(t) = 155.8t1.31-1706.
(c) Gowalla, the growth of population as a function of time in the largest populated location, follows a power function: n(t) = 68.83t1.61-243.9.
(b) Twitter, the growth of population as a function of time in the largest populated location, follows a power function: n(t) = 0.19t2.97-678.8.
To specify this model, we need to study three time-dependent functions: the dynamics of population distribution P s,t), the growth function of populated locations l(t) and the growth function of the largest population n(t) in the following subsections.
The growth of populated locations is a function of time t and defined as l(t).
(a) Renren, the growth of populated location as a function of time follows a power function y ∼ x1.26.
(b) Twitter, the growth of populated location as a function of time follows a power function y ∼ x1.96.
(c) Gowalla, the growth of populated location as a function of time follows a power function y ∼ x1.62.
Because the number of populated species and the size of the reaction network encompassing the populated species grow exponentially as a function of time, it quickly becomes impossible to simulate the model using on-the-fly simulation, even with a supercomputer.
