Mathematical analysis of a delayed IS–LM model with general investment function
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In this work, we propose a delayed IS–LM model with general investment function. The proposed model extends and generalizes many business cycle models existing in the literature. By analyzing the characteristic equation, we establish the stability of the economic equilibrium and the local existence of Hopf bifurcation. In addition, the direction of the Hopf bifurcation and the stability of the bifurcating periodic solutions are derived by applying the normal form method and center manifold theory.
KeywordsBusiness cycle IS–LM model Time delay Stability Hopf Bifurcation
Mathematics Subject Classification34C23 34D20 37G05 91B64
The authors would like to thank the editor and anonymous referees for their very helpful comments and suggestions that greatly improved the quality of this study.
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