Synchronized Cycles of Generalized Nicholson-Bailey Model

Heteroclinic Foliation, Global Oscillations for the Nicholson-bailey Model and Delay of Stability Loss

This paper is concerned with the classical Nicholson-Bailey model [15] defined by fλ(x, y) = (y(1 − e−x), λye−x). We show that for λ = 1 a heteroclinic foliation exists and for λ > 1 global strict oscillations take place. The important phenomenon of delay of stability loss is established for a general class of discrete dynamical systems, and it is applied to the study of nonexistence of periodi...

Existence of almost periodic solution for neutral Nicholson blowflies model

*Correspondence: [email protected] 1School of Mathematical Science, University of Science and Technology of China, Hefei, 230036, China 2School of Mathematics and Statistics, Hefei Normal University, Hefei, 230601, China Full list of author information is available at the end of the article Abstract This paper is concerned with a class of neutral Nicholson blowflies models with leakage delays...

Generalized de Bruijn Cycles

For a set of integers I, we define a q-ary I-cycle to be an assignment of the symbols 1 through q to the integers modulo qn so that every word appears on some translate of I. This definition generalizes that of de Bruijn cycles, and opens up a multitude of questions. We address the existence of such cycles, discuss “reduced” cycles (ones in which the all-zeroes string need not appear), and prov...

Lifting Bailey pairs to WP-Bailey pairs

A pair of sequences (αn(a, k, q),βn(a, k, q)) such that α0(a, k, q) = 1 and βn(a, k, q) = n ∑ j=0 (k/a; q)n−j(k; q)n+j (q; q)n−j(aq; q)n+j αj(a, k, q) is termed a WP-Bailey Pair. Upon setting k = 0 in such a pair we obtain a Bailey pair. In the present paper we consider the problem of “lifting” a Bailey pair to a WPBailey pair, and use some of the new WP-Bailey pairs found in this way to derive...

Weak Conformance between Process Models and Synchronized Object Life Cycles