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2014 | OriginalPaper | Chapter

4. Logistic Models with Piecewise Arguments

Authors : Ravi P. Agarwal, Donal O’Regan, Samir H. Saker

Published in: Oscillation and Stability of Delay Models in Biology

Publisher: Springer International Publishing

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Abstract

Differential equation with piecewise continuous argument (or DEPCA) will be discussed in this chapter.

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Literature
27.
go back to reference H.I. Freedman, H. Xia, Periodic solutions of single species models with delay, differential equations, dynamical systems and control science. Lect. Notes Pure Appl. Math. 152, 55–74 (1994)MathSciNet H.I. Freedman, H. Xia, Periodic solutions of single species models with delay, differential equations, dynamical systems and control science. Lect. Notes Pure Appl. Math. 152, 55–74 (1994)MathSciNet
30.
go back to reference R.E. Gaines, J.L. Mawhin, Coincidence Degree and Nonlinear Differential Equations (Springer, Berlin, 1977)MATH R.E. Gaines, J.L. Mawhin, Coincidence Degree and Nonlinear Differential Equations (Springer, Berlin, 1977)MATH
42.
go back to reference G. Li, Oscillatory behavior of solutions to a generalized, nonautonomous, delay logistic equation. Ann. Differ. Equat. 7, 432–438 (1991)MATH G. Li, Oscillatory behavior of solutions to a generalized, nonautonomous, delay logistic equation. Ann. Differ. Equat. 7, 432–438 (1991)MATH
46.
go back to reference P. Liu, K. Gopalsamy, Global stability and chaos in a population model with piecewise constant arguments. Appl. Math. Comput. 101, 63–88 (1999)CrossRefMATHMathSciNet P. Liu, K. Gopalsamy, Global stability and chaos in a population model with piecewise constant arguments. Appl. Math. Comput. 101, 63–88 (1999)CrossRefMATHMathSciNet
47.
go back to reference X. Liu, A. Wilmas, Impulsivev stabilizability of autonoumous systems. J. Math. Anal. Appl. 44, 171–182 (1992)MATH X. Liu, A. Wilmas, Impulsivev stabilizability of autonoumous systems. J. Math. Anal. Appl. 44, 171–182 (1992)MATH
48.
49.
go back to reference T.R. Malthus, An Essay on the Principle of Population (Johnson, London, 1798) T.R. Malthus, An Essay on the Principle of Population (Johnson, London, 1798)
69.
go back to reference J.H. Shen, J.S. Yu, Nonlinear delay differential equations with impulsive perturbations. Math. Appl. 9(3), 272–277 (1996)MATHMathSciNet J.H. Shen, J.S. Yu, Nonlinear delay differential equations with impulsive perturbations. Math. Appl. 9(3), 272–277 (1996)MATHMathSciNet
75.
Metadata
Title
Logistic Models with Piecewise Arguments
Authors
Ravi P. Agarwal
Donal O’Regan
Samir H. Saker
Copyright Year
2014
DOI
https://doi.org/10.1007/978-3-319-06557-1_4

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