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- W2076663449 abstract "First, we systematize earlier results on the global stability of discrete model An+1=λAn+F(An−m) of population growth. Second, we invent the effect of delay m when F is unimodal. New, deep and strong results are discussed in Section 4, although Theorems 3–5 (Section 3) are still freshly new. This paper may be considered as a discrete version of our earlier work on the model x˙(t)=−μx(t)+f(x(t−τ)) [D.V. Giang, Y. Lenbury, Nonlinear delay differential equations involving population growth, Math. Comput. Modelling 40 (2004) 583–590]. We are mainly using ω-limit set of persistent solution, which is discussed in more general by P. Walters [An Introduction to Ergodic Theory, Springer-Verlag, Berlin, 1982]." @default.
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- W2076663449 date "2005-08-01" @default.
- W2076663449 modified "2023-10-17" @default.
- W2076663449 title "Extinction, persistence and global stability in models of population growth" @default.
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- W2076663449 doi "https://doi.org/10.1016/j.jmaa.2004.11.027" @default.
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