Periodicity for a Food Chain Model with Functional Responses on Time Scales
Commenced in January 2007
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Periodicity for a Food Chain Model with Functional Responses on Time Scales

Authors: Kejun Zhuang

Abstract:

With the help of coincidence degree theory, sufficient conditions for existence of periodic solutions for a food chain model with functional responses on time scales are established.

Keywords: time scales, food chain model, coincidence degree, periodic solutions.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1056994

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References:


[1] Y.K. Li, Periodic solutions of a periodic delay predator-prey system, Proc. Amer. Math. Soc., 129 (1999), 1331-1335.
[2] M. Fan, S. Agarwal, Periodic solutions for a class of discrete time competition systems, Nonlinear Studies, 9 (2002), 249-261.
[3] S. Hilger, Analysis on measure chains-a unified approach to continuous and discrete calculus, Results Math, 18 (1990), 18-56.
[4] M. Bohner, M. Fan, J.M. Zhang, Existence of periodic solutions in predator-prey and competition dynamic systems, Nonlinear Analysis: RWA, 7 (2006), 1193-1204.
[5] M. Bohner, M. Fan, J.M. Zhang, Periodicity of scalar dynamic equations and applications to population models, J. Math. Anal. Appl., 330 (2007), 1-9.
[6] A. Maiti, B. Patra, G.P. Samanta, Persistence and stability of a food chain model with mixed selection of functional responses, Nonlinear Analysis: Modelling and Control, 11 (2006), 171-185.
[7] P.Z. Liu, K. Gopalsamy, Global stability and chaos in a population model with piecewise constant arguments, Applied Mathematics and Computation, 101 (1999), 63-88.
[8] M. Bohner, A. Peterson, Dynamic Equations on Time Scales: An Introduction with Applications , Birkh¨auser, Boston( 2001).
[9] R. Gaines, J. Mawhin, Coincidence Degree and Nonlinear Differential Equations,Lecture Notes in Mathematics, vol.568, Springer-Verlag, Berlin (1977).