What are the two sector model in economics?

In a two sector model there is no government control. There are just two sectors (1) the households (2) the firms. No government control means there would be no taxes, no subsidies and no social security. Also Economy will be a closed one meaning NO TRADE. House hold will supply factors of production to firms and will receive income in against them and thus they will use these incomes to buy what ever has been produced by firms. Where as firms will hire factors of productions and will pay house holds and will produce goods and service which are to be used by house holds and thus will receive income in against them

NOTE: One sector's expenditure is another sector's income.