Building a time-series demand forecasting model
If it's just knowing about the models, I'd suggest starting with Hamilton's "Time Series Analysis" but any book like it will do. You can also explore Google Scholar for inspiration (people likely had built similar models). It seems you have a VAR model, check this wikipedia link to see if it's what you have in mind: https://en.wikipedia.org/wiki/Vector_autoregression
If you are looking for tools to obtain these forecasts, I'd suggest EViews or R. They are not useful on their own: you must have to have a model to do any kind of forecasting.