A full kinetic elve model with a wide time range from microseconds to seconds and its spectral range from UV, visible to near-infrared wavelengths is developed. Not only the fast electron-impact emissions N2 1P (B 3Πg - A3Σu+), N2 2P(C3Πu - B3Πg), N2 Lyman-Birge-Hopfield (a1Πg - X 1Σg+), N2+ 1N (B2Σu+ - X2Sg +) and O2+ 1N (b4Σ g- - a4Πu) but also the post-impulse chemiluminescenses, O2 atmospheric band (b 1Σg+ - X3Σ g-), O(1S - 1D) at 557.7 nm and O(1D - 3P) at 630 nm, are considered in the elve model. We calculate the dominant emissions and possible weak emissions in our elves model to analyze the relative importance of emission intensity, measured by the ISUAL imager with 5 selectable band pass filters (N21P, 762, 630, 557.7, 427.8 nm filter). The modeling emission intensities were well consistent with the measurements by Imager with different filters. This comparison could also be useful in designing the imager filters for future TLE survey missions in Earth orbit.