I am working with modelling of liquid-liquid extraction and using the birth and death model and the population balance equation. I am wondering if there is any program which have the ability to solve this model?
Excuse me if I am bringing "coals back to Newcastle"; but what about the logistic map and some instance of its solution (special cases since the possibility of Chaotic properties predisposes such systems to "sensitivity to initial conditions" etc.). As the program is likely to involve a simulation, have you considered cellular automata modeling of predator-prey models. In which case the what constitute a "predator-prey" in your target system may have to be justified. Example of one such model in action:
if you are looking for something that may solve the problem without going deeper into programming but keeping control about what you are doing: try ExtendSim. There is a demo version available, showing a conventional (reduced) population model.
Advantage: Model and results can be easily communicated to "outsiders".
Disadvantage: If you cannot solve the extraction with the available blocks, you have to programm prefabricated new blocks in a C aliek language.
I would be interested to hear about your decision.
well, i build up a full program to solve the whole model in 2006 based on Matlab but i was wondering if there is a package like Excell or Statistica that can solve the model.