zbMATH — the first resource for mathematics

Geometry Search for the term Geometry in any field. Queries are case-independent.
Funct* Wildcard queries are specified by * (e.g. functions, functorial, etc.). Otherwise the search is exact.
"Topological group" Phrases (multi-words) should be set in "straight quotation marks".
au: Bourbaki & ti: Algebra Search for author and title. The and-operator & is default and can be omitted.
Chebyshev | Tschebyscheff The or-operator | allows to search for Chebyshev or Tschebyscheff.
"Quasi* map*" py: 1989 The resulting documents have publication year 1989.
so: Eur* J* Mat* Soc* cc: 14 Search for publications in a particular source with a Mathematics Subject Classification code (cc) in 14.
"Partial diff* eq*" ! elliptic The not-operator ! eliminates all results containing the word elliptic.
dt: b & au: Hilbert The document type is set to books; alternatively: j for journal articles, a for book articles.
py: 2000-2015 cc: (94A | 11T) Number ranges are accepted. Terms can be grouped within (parentheses).
la: chinese Find documents in a given language. ISO 639-1 language codes can also be used.

a & b logic and
a | b logic or
!ab logic not
abc* right wildcard
"ab c" phrase
(ab c) parentheses
any anywhere an internal document identifier
au author, editor ai internal author identifier
ti title la language
so source ab review, abstract
py publication year rv reviewer
cc MSC code ut uncontrolled term
dt document type (j: journal article; b: book; a: book article)
Stability and bifurcation analysis on a logistic model with discrete and distributed delays. (English) Zbl 1161.34056
The authors provide us with a new approach for stability of a logistic model with discrete and distributed delays. They use the linear chain trick in order to convert a delay equation into a system of differential equation.

34K60Qualitative investigation and simulation of models
34K18Bifurcation theory of functional differential equations
34K20Stability theory of functional-differential equations
34K17Transformation and reduction of functional-differential equations and systems; normal forms
Full Text: DOI
[1] Jones, G. S.: The existence of periodic solution of $f^{\prime}(x)= - \alpha f(x - 1)[1+f(x)]$. J. math. Anal. appl. 5, 435-450 (1962) · Zbl 0106.29504
[2] Chow, S. N.; Mallet-Paret, J.: Integral averaging and bifurcation. J. differential equations 26, 112-159 (1977) · Zbl 0367.34033
[3] Stech, A.: Hopf bifurcation calculations for functional differential equations. J. math. Anal. appl. 109, 472-491 (1985) · Zbl 0592.34048
[4] Györi, I.; Ladas, G.: Oscillation theory of delay differential equations. With applications. Oxford mathematical monographs (1991) · Zbl 0780.34048
[5] Hale, J.; Lunel, S. M.: Introduction to functional differential equations. (1993) · Zbl 0787.34002
[6] Kuang, Y.: Delay differential equations with applications in population dynamics. (1993) · Zbl 0777.34002
[7] Gopalsamy, K.: Stability and oscillations in delay differential equations of population dynamics. Mathematics and its applications 74 (1992) · Zbl 0752.34039
[8] Cushing, J. M.: Integro-differential equations and delay models in population dynamics. (1977) · Zbl 0363.92014
[9] Hassard, B. D.; Kazarinoff, N. D.; Wan, Y. H.: Theory and applications of Hopf bifurcation. (1981) · Zbl 0474.34002
[10] Cooke, K.; Grossman, Z.: Discrete delay, distributed delay and stability switches. J. math. Anal. appl. 86, 592-627 (1982) · Zbl 0492.34064