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Mapping of multiple lines such as the fine-structure emission from [CII](157.7 $\mu \text{m}$), [OIII] (52 \& 88.4 $\mu \text{m}$), and rotationalemission lines from CO are of particular interest for upcoming line intensitymapping (LIM) experiments at millimetre wavelengths, due to their brightnessfeatures. Several upcoming experiments aim to cover a broad range of scientificgoals, from detecting signatures of the epoch of reionization to the physics ofstar formation and its role in galaxy evolution. In this paper, we develop asemi-analytic approach to modelling line strengths as functions of the starformation rate (SFR) or infrared (IR) luminosity based on observations of localand high-z galaxies. This package, $\texttt{LIMpy}$ (Line Intensity Mapping inPython), estimates the intensity and power spectra of [CII], [OIII], and COrotational transition lines up to the $J$-levels (1-0) to (13-12) based both onanalytic formalism and on simulations. We develop a relation among halo mass,SFR, and multi-line intensities that permits us to construct a generic formulafor the evolution of several line strengths up to $z \sim 10$. We implement avariety of star formation models and multi-line luminosity relations toestimate the astrophysical uncertainties on the intensity power spectrum ofthese lines. As a demonstration, we predict the signal-to-noise ratio of [CII]detection for an EoR-Spec-like instrument on the Fred Young SubmillimeterTelescope (FYST). Furthermore, the ability to use any halo catalogue allows the$\texttt{LIMpy}$ code to be easily integrated into existing simulationpipelines, providing a flexible tool to study intensity mapping in the contextof complex galaxy formation physics.

$\texttt{LIMpy}$: A Semi-analytic Approach to Simulating Multi-line Intensity Maps at Millimetre Wavelengths