On a two lag differential delay equation
R. D. Braddock, P. van den Driessche
Source record
Source: Crossref
Published: Jan 1, 1983
DOI: 10.1017/s0334270000002939
Open original source ↗Source abstract
Abstract The non-linear differential difference equation of the form is investigated. This equation, with constant coefficients, is used to model the population level, N , of a single species, and incorporates two constant time lags T 2 > T 1 > 0; for example, regeneration and reproductive lags. The linear equation is investigated analytically, and some linear stability regions are described. The special case in which the two delay terms are equally important in self damping, B = C , is investigated in detail. Numerical solutions for this case show stable limit cycles, with multiple loops appearing when T 2 / T 1 is large. These may correspond to splitting of major peaks in population density observations.
Evidence graph
No public relationships recorded yet.
Integrity note: This page is a factual metadata record created by deterministic ingestion. It is not a claim that the work moves a mathematical frontier or has been independently verified.