Stability of Delay Logistic Models

Ravi P. Agarwal, Donal O’Regan and Samir H. Saker
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Ravi P. Agarwal: Texas A&M University-Kingsville, Department of Mathematics
Donal O’Regan: National University of Ireland, School of Mathematics, Statistics and Applied Mathematics
Samir H. Saker: Mansoura University, Department of Mathematics

Chapter Chapter 3 in Oscillation and Stability of Delay Models in Biology, 2014, pp 79-126 from Springer

Abstract: Abstract The stability Stability of Delay Logistic Models of the equilibrium points is important in the study of mathematical models. The equilibrium point N ¯ $$\overline{N}$$ is locally stable Locally stable if the solution of the model N(t) approaches N ¯ $$\overline{N}$$ as time increases for all the initial values, in some neighborhood of N ¯ $$\overline{N}$$ .

Keywords: Delay Logistic Model; Local Asymptotic Stability; Global Exponential Stability; Positive Steady State; Positive Continuous Periodic Functions (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-06557-1_3

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DOI: 10.1007/978-3-319-06557-1_3

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