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Journal of Applied Mathematics and Computing

Erschienen in:

24.12.2015 | Original Research

Almost periodic solutions for a competition and cooperation model of two enterprises with time-varying delays and feedback controls

verfasst von: Changjin Xu, Peiluan Li

Erschienen in: Journal of Applied Mathematics and Computing | Ausgabe 1-2/2017

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Abstract

In this paper, we propose and deal with a competition and cooperation model of two enterprises with time-varying delays and feedback controls, which can effectively describe the competition and cooperation of two enterprises in real economic environments. With the help of the comparison theorem of differential equations and by constructing a suitable Lyapunov functional, some sufficient conditions which guarantee the existence of a unique globally asymptotically stable nonnegative almost periodic solution of the system are established. We present an example to explain the economical significance of mathematical results. The paper ends with brief conclusions.

Vorheriger Artikel Existence and uniqueness for a class of multi-term fractional differential equations

Nächster Artikel Fully discrete finite element scheme for nonlocal parabolic problem involving the Dirichlet energy

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Gu, L.G., Fang, K.: Ecology research about enterprise. Sci. Technol. Prog. Policy 24(10), 119–123 (2007)

Li, Y.K., Zhang, T.W.: Global asymptotical stability of a unique almost periodic solution for enterprise clusters based on ecology theory with time-varying delays and feedback controls. Commun. Nonlinear Sci. Numer. Simul. 17(2), 904–913 (2012)MathSciNetCrossRefMATH

Li, L., Zhang, C.H., Yan, X.P.: Stability and Hopf bifurcation analysis for a two-enterprise interaction model with delays. Commun. Nonlinear Sci. Numer. Simul. 30(1–3), 70–83 (2016)MathSciNetCrossRef

Wang, Z., Pan, R.Y.: Analysis to the equilibrium of industrial clusters based on ecological model. Stat Thinktank 8, 32–35 (2008)

Zhou, H.: Enterprises cluster co-existence model and stability analysis. Syst. Eng. 21(4), 32–37 (2003)

Guo, Q.: Competitive strages in an enterprises: an ecological model. Contemp. Econ. Manag. 27(2), 49–52 (2005)MathSciNet

Tian, X.H., Nie, Q.K.: On model construction of enterprises’ interactive relationship from the perspective of business ecosystem. South. Econ. J. 4, 50–57 (2006)

Xu, C.J.: Periodic behavior of competition and corporation dynamical model of two enterprises on time scales. J. Quant. Econ. 29(2), 1–4 (2012)MathSciNet

Xu, C.J., Shao, Y.F.: Existence and global attractivity of periodic solution for enterprise clusters based on ecology theory with impulse. J. Appl. Math. Comput. 39(1–2), 367–384 (2012)MathSciNetCrossRefMATH

10.

Liao, M.X., Xu, C.J., Tang, X.H.: Dynamical behavior for a competition and cooperation model of enterpries with two delays. Nonlinear Dyn. 75(1–2), 257–266 (2014)MathSciNetCrossRefMATH

11.

Liao, M.X., Xu, C.J., Tang, X.H.: Stability and Hopf bifurcation for a competition and cooperation model of two enterprises with delay. Commun. Nonlinear Sci. Numer. Simul. 19(10), 3845–3856 (2014)MathSciNetCrossRef

12.

Hao, H.F., Li, W.T.: Positive periodic solutions of a class of delay differential system with feedback control. Appl. Math. Comput. 148(1), 35–46 (2004)MathSciNet

13.

Liao, X., Ouyang, Z., Zhou, S.: Permanence of species in nonautonomous discrete Lotka-Volterra competitive system with delays and feedback controls. J. Comput. Appl. Math. 221(1), 1–10 (2008)MathSciNetCrossRefMATH

14.

Liu, P., Li, Y.K.: Multiple positive periodic solutions of nonlinear functional differential system with feedback control. J. Math. Anal. Appl. 288(2), 819–832 (2003)MathSciNetCrossRefMATH

15.

Zhang, T.W., Li, Y.K., Ye, Y.: Persistence and almost periodic solutions for a discrete fishing model with feedback control. Commun. Nonlinear Sci. Numer. Simul. 16(3), 1564–1573 (2011)MathSciNetCrossRefMATH

16.

Wang, C.: Almost periodic solutions of impulsive BAM neural networks with variable delays on time scales. Commun. Nonlinear Sci. Numer. Simul. 19(8), 2828–2842 (2014)MathSciNetCrossRef

17.

Fink, A.M.: Almost Periodic Differential Equations, Lecture Notes in Mathematics, vol. 377. Springer, Berlin (1974)CrossRef

18.

Li, Y.K., Zhang, T.W., Xing, Z.W.: The existence of nonzero almost periodic solution for Cohen–Grossberg neural networks with continuously distributed delays and impulses. Neurocomputing 73(16–18), 3105–3113 (2010)CrossRef

19.

Li, Y.K., Fan, X.L.: Existence and globally exponential stability of almost periodic solution for Cohen–Grossberg BAM neural networks with variable coefficients. Appl. Math. Model. 33(4), 2114–2120 (2009)MathSciNetCrossRefMATH

20.

Geng, J.B., Xia, Y.H.: Almost periodic solutions of a nonlinear ecological model. Commun. Nonlinear Sci. Numer. Simul. 16(6), 2575–2597 (2011). 2010MathSciNetCrossRefMATH

21.

Wang, K., Zhu, Y.L.: Stability of almost periodic solution for a generalized neutral-type neural networks with delays. Neurocomputing 73(16–18), 3300–3307 (2010)CrossRef

22.

Alzabut, J.O., Stamovb, G.T., Sermutlu, E.: Positive almost periodic solutions for a delay logarithmic population model. Math. Comput. Model. 53(1–2), 161–167 (2011)MathSciNetCrossRefMATH

23.

Chen, F.D., Li, Z., Huang, Y.J.: Note on the permanence of a competitive system with infinite delay and feedback controls. Nonlinear Anal. Real World Appl. 8(2), 680–687 (2007)MathSciNetCrossRefMATH

24.

Chen, F.D.: Almost periodic solution of the non-autonomous two-species competitive model with stage structure. Appl. Math. Comput. 181(1), 685–693 (2006)MathSciNetMATH

25.

Wang, Q., Dai, B.X.: Almost periodic solution for \(n\)-species Lotka–Volterra competitive system with delay and feedback controls. Appl. Math. Comput. 200(1), 133–146 (2008)MathSciNetMATH

Titel: Almost periodic solutions for a competition and cooperation model of two enterprises with time-varying delays and feedback controls
verfasst von: Changjin Xu
Peiluan Li
Publikationsdatum: 24.12.2015
Verlag: Springer Berlin Heidelberg
Erschienen in: Journal of Applied Mathematics and Computing / Ausgabe 1-2/2017
Print ISSN: 1598-5865
Elektronische ISSN: 1865-2085
DOI: https://doi.org/10.1007/s12190-015-0974-7

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