Stability of equilibrium points of demand-inventory model with stock-dependent demand

References

• R.P. Agarwal, Difference Equations and Inequalities, in Theory, Methods and Applications, Revised and Expanded, 2nd ed., Dekker, New York, 2000.
   Google Scholar
• R.P. Agarwal, M. Bohner, S.R. Grace, and D. O’Regan, Discrete Oscillation Theory, Hindawi Publishing Corporation, New York, 2005.
   Google Scholar
• M.F. Aktas, A. Tiryaki, and A. Zafer, Oscillation of the third order nonlinear delay difference equations, Turkish J. Math. 36 (2012), pp. 422–436.
   Web of Science ®Google Scholar
• A. Andruch-Sobiło and M. Migda, Bounded solutions of third order nonlinear difference equations, Rocky Mountain J. Math. 36(1) (2006), pp. 23–34.
   Web of Science ®Google Scholar
• X. Chen and P. Hu, Joint pricing and inventory management with deterministic demand and costly price adjustment, Oper. Res. Lett. 40 (2012), pp. 385–389. doi:10.1016/j.orl.2012.05.011.
   Web of Science ®Google Scholar
• Z.Z. Došlá and A. Kobza, On third-order linear difference equations involving quasi-differences, Adv. Difference Equ., 2006(065652) (2006), pp. 1–13.
   Web of Science ®Google Scholar
• S.N. Elaydi, An Introduction to Difference Equation, 3rd ed., Springer-Verlag, New York, 2005.
   Google Scholar
• E.S. Gardner Jr, Exponential smoothing, the state of the art -- Part II, Int. J. Forecasting 22(4) (2006), pp. 637–666. doi:10.1016/j.ijforecast.2006.03.005.
   Web of Science ®Google Scholar
• P. Hachuła and E. Schmeidel, Stability analysis of demand-inventory model in a certain business case, in Transcom Proceedings June 2015, 22–24 (CD), University of Zilina, Zilina.
   Google Scholar
• P.E. Kloeden and M. Rasmussen, Nonautonomous dynamical systems, Math. Surv. Monogr. 176 (2011).
   Google Scholar
• Y.A. Kuznetsov, Elements of Applied Bifurcation Theory, 2nd ed., Springer-Verlag, New York, 1998.
   Google Scholar
• Z. Liu, M. Jia, S.M. Kang, and Y.C. Kwun Bounded positive solutions for a third order discrete equation, Abst. Appl. Anal. (2012), 12p. Article ID 237036.
   Google Scholar
• J. Ma and Y. Feng, The study of the chaotic behavior in retailer’s demand model, Discrete Dyn. Nat. Soc. (2008). doi:10.1155/2008/792031. Article ID 792031.
   Web of Science ®Google Scholar
• M. Migda, E. Schmeidel, and M. Zdanowicz, Existence of nonoscillatory solutions for system of neutral difference equations, to appear in Appl. Anal. Discrete Math. 9 (2015), pp. 271–284. doi:10.2298/AADM150811016M.
   Web of Science ®Google Scholar
• S.K. Mondal, J.K. Dey, and M. Maiti, A single period inventory model of a deteriorating item sold from two shops with shortage via genetic algorithm, Yugosl. J. Oper. Res. 17 1 (2007), pp. 75–94. doi:10.2298/YUJOR0701075M.
   Google Scholar
• L. Nowakowska, Dynamic discrete model for electricity price forecasting, 5th International Youth Conference on Energy May 2015, 27–30, Pisa, 2015. doi:10.1109/IYCE.2015.7180798.
   Google Scholar
• J. Popenda and E. Schmeidel, Nonoscillatory solutions of third order difference equations, Portugal. Math. 49(2) (1992), pp. 233–239.
   Google Scholar
• X. Qi, J.F. Bard, and G. Yu, Supply chain coordination with demand disruptions, Omega 32(4) (2004), pp. 301–312. doi:10.1016/j.omega.2003.12.002.
   Web of Science ®Google Scholar
• E. Schmeidel, Oscillatory and asymptotically zero solutions of third order difference equations with quasidifferences, Opuscula Math. 26(2) (2006), pp. 361–369.
   Google Scholar
• E. Thandapani, R. Karunakaran, and I.M. Arockiasamy, Bounded nonoscillatory solutions of neutral type difference systems, Electron. J. Qual. Theory Differ. Equ., Spec. Ed. I. 25 (2009), pp. 1–8.
   Google Scholar
• E. Thandapani and B. Ponnammal, Oscillatory properties of solutions of three dimensional difference systems, Math. Comput. Model. 42(5–6) (2005), pp. 641–650.
   Google Scholar
• E. Thandapani, M. Vijaya, and T. Li, On the oscillation of third order half-linear neutral type difference equations, Electron. J. Qual. Theory Differ. Equ. 76 (2011), pp. 1–13.
   Google Scholar
• H.R. Varian, Intermediate Microeconomics, in A Modern Approach, 8th ed., W. W. Norton & Company, New York, 2010.
   Google Scholar