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)
A Lyapunov function for Leslie-Gower predator-prey models. (English) Zbl 0999.92036
Summary: A Lyapunov function for continuous-time Leslie-Gower predator-prey models [see {\it P.H. Leslie}, Biometrika 45, 16-31 (1958; Zbl 0089.15803); ibid. 35, 213-245 (1948; Zbl 0034.23303)] is introduced. Global stability of the unique coexisting equilibrium state is thereby established.

34D23Global stability of ODE
34D20Stability of ODE
92D25Population dynamics (general)
Full Text: DOI
[1] Leslie, P. H.: Some further notes on the use of matrices in population mathematics. Biometrika 35, 213-245 (1948) · Zbl 0034.23303
[2] Leslie, P. H.: A stochastic model for studying the properties of certain biological systems by numerical methods. Biometrika 45, 16-31 (1958) · Zbl 0089.15803
[3] Pielou, E. C.: Mathematical ecology. (1977) · Zbl 0259.92001
[4] Barbashin, E. A.: Introduction to the theory of stability. (1970) · Zbl 0198.19703
[5] Lasalle, J.; Lefschetz, S.: Stability by Liapunov’s direct method. (1961) · Zbl 0098.06102