In:
International Journal of Biomathematics, World Scientific Pub Co Pte Ltd, Vol. 10, No. 03 ( 2017-04), p. 1750032-
Abstract:
In this paper, a differential-algebraic predator–prey system with time delay is investigated, where the time delay is regarded as a parameter. By analyzing the corresponding characteristic equations, the local stability of the positive equilibrium and the existence of Hopf bifurcation are demonstrated. Furthermore, the explicit formulae which determine the stability, direction and other properties of bifurcating periodic solutions are obtained by applying the normal form theory and the center manifold argument. At last, some numerical simulations are carried out to illustrate the feasibility of our main results.
Type of Medium:
Online Resource
ISSN:
1793-5245
,
1793-7159
DOI:
10.1142/S1793524517500322
Language:
English
Publisher:
World Scientific Pub Co Pte Ltd
Publication Date:
2017
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