What is the difference between the malthusian theory and the demographic transition theory?

Malthusian theory of population is based on food supply with population growth that is whereas population is growing at a geometrical progression food supply on the hand is at arithmetic progression whiel on the other hand geographic transition theory is based on birth rates and death rates the theory says that population cycle begins with a fall in death rates ,continues with a phase of rapid population growth and concluding with a decline in the birth rates.