These are some standard models:

Absolute income hypothesis where consumption is regressed on disposable income. Keynes model.

Relative income hypothesis where the independent variable is a lagged peak income. Duessenberry model.

There are two more complicated ones--life cycle hypothesis due to Modigliani and the Permanent income hypothesis due to Friedman.

I covered all of them in an article I coauthored in the International Encyclopedia of the Social Sciences, Second Edition.

there is the consumer theory which is considered a microeconomics issue

there is the consumer theory which is considered a microeconomics issue

I can recommend:

THEORIES OF CONSUMPTION AND SAVING, Jeffrey Parker

http://www.reed.edu/economics/parker/s11/314/book/Ch16.pdf

There is many theories related to consumption as consumer theory ,consumption and saving,Keynesian theory. pricing theory.

Keynes in his General Theory postulated that aggregate consumption is a function of aggregate current disposal income. The relation between consumption and income is based on his fundamental psychological law of consumption which states that when income increases consumption expenditure also increases but by a smaller amount.

The Keynesian consumption function is written as

            C = a + cY                  a > 0                0 < c < 1

Where a is the intercept, a constant which measures consumption at a zero level of disposal income, c is the marginal propensity to consume MPC and Y is the disposal income.