Periodic oscillation for a class delayed economic model

[1] J. Grasman and J.J. Wentzel, Co-existence of a limit cycle and an equilibrium in Kaldor's business cycle model and its consequences, J. Econ. Behav. Organ. vol. 24, no. 3 (1994) 369-377.

[2] C. Zhang and J. Wei, Stability and bifurcation analysis in a kind of business cycle model with delay, Chaos Solitons and Fractals, vol. 22, no. 4 (2004), 883-896.

[3] L.C. Wang and X.Q. Wu, Bifurcation analysis of a Kaldor-Kalecki model of business cycle with delay, Elec. J. Qual. Theory Di . Equs. Spec. Ed. vol. 1, no. 27 (2009) 1-20.

[4] A. Kaddar and H.T. Alaoui, Local Hopf bifurcation and stability of limit cycle in a delayed Kaldor-Kalecki model, Nonlinear Anal. Model. Control., vol. 14, no. 4 (2009), 333-343.

[5] X.P. Wu, Codimension-2 bifurcations of the Kaldor model of business cycle, Chaos, Solitons and Fractals, vol. 44, no. 1 (2011), 28-42.

[6] X.P. Wu, Zero-Hopf bifurcation analysis of a Kaldor-Kalecki model of business cycle with delay, Nonlinear Anal. RWA, vol. 13, no. 2 (2012), 736-754.

[7] M.E. Fatini, A. Kaddar and A. Laaribi, Direction of Hopf bifurcation in a delayed Kaldor-Kalecki model of business cycle, Int. J. Stati. Econ. vol. 14, no. 1 (2014), 13-24.

[8] D. Riad, K. Hattaf, and N. Yous , Dynamics of a delayed business cycle model with general investment function, Chaos, Solitons and Fractals, vol. 85 (2016), 110-119.

[9] X.P. Wu, Zero-Hopf bifurcation analysis of a Kaldor-Kalecki model of business cycle with delay, Nonlinear Analysis: RWA, vol. 13, no. 2 (2012), 736-754.

[10] J. Yu and M. Peng, Stability and bifurcation analysis for the Kaldor-Kalecki model with a discrete delay and a distributed delay, Phys. A, Stat. Mech. Appl. vol. 460, no. 1 (2016), 66-75.

[11] X.H. Wang, Y.H. Zhai and K. Long, Stability and Hopf bifurcation for Kaldor-Kalecki model of business cycles with two time delays, Int. J. Engin. Res. Sci. vol. 5, no. 2 (2016), 1-13.

[12] J.Z. Cao and H.Y. Sun, Bifurcation analysis for the Kaldor-Kalecki model with two delays, Advan. Di . Equs. (2019) article no. 107(2019).

[13] D.M. Dubois, Extension of the Kaldor-Kalecki model of business cycle with a computational anticipated capital stock, J. Org. Trans. Soc. Change, vol. 1, no. 1 (2004), 63-80.

[14] W.J. Hu, H. Zhao and T. Dong, Dynamic analysis for a Kaldor-Kalecki model of business cycle with time delay and di usion e ect, Complexity, vol. 2018 (2018), article no. 1263602.

[15] H.Y. Al  , Semi-Analytical solutions for the di usive Kaldor-Kalecki business cycle model with a time delay for gross product and capital stock, Complexity, vol. 2021 (2021), article no. 9998756.

[16] G. Mircea, M. Neamtu, D. Oprit, The Kaldor-Kalecki stochastic model of business cycle, Nonlinear Anal. Model. Control vol. 16, no. 2 (2011), 191-205.

[17] T. Caraballo and A.P. Silva, Stability analysis of a delay di erential Kaldor's model with government policies, Mathematica Scandinavica, vol. 126 (2020), article no. 116243.

[18] B.J. Zduniak, U. Grzybowska and A. Orlowski, Numerical analysis of two coupled Kaldor-Kalecki models with delay, Acta Physica Polonica A vol. 127, no. 53 (2015), 70-74.

[19] B.J. Zduniak and A. Orlowski, Numerical analysis of modi ed Kaldor-Kalecki model with couplings and delays, Acta Physica Polonica A vol. 129, no. 5 (2016), 1008-1010.

[20] C.A. Desoer and M. Vidyasagar, Feedback System: Input-Output properties, Academic Press, New York, 1977.

[21] J.K. Hale, Theory of functional di erential equations, Springer Verlag, Berlin, 1997.

[22] N. Chafee, A bifurcation problem for a functional di erential equation of  nitely retarded type, J. Math. Anal. Appl. vol. 35, no. 2 (1971), 312-348.

[23] C. Feng and R. Plamondon, An oscillatory criterion for a time delayed neural ring network model, Neural Networks, vol. 79 (2012), 70-79.