Bifurcation Analysis for a Predator-Prey Model with Time Delay and Delay-Dependent Parameters
نویسندگان
چکیده
منابع مشابه
Bifurcation Analysis for a Predator-Prey Model with Time Delay and Delay-Dependent Parameters
and Applied Analysis 3 2. Stability of the Equilibrium and Local Hopf Bifurcations Throughout this paper, we assume that the following condition H1 ce−dτ > d , a2 ce−dτ − d > b2d holds. The hypothesis H1 implies that system 1.1 has a unique positive equilibrium E∗ x∗, y∗ , where x∗ √ d ce−dτ − d , y ∗ a − bx∗ 1 x∗2 cx∗ . 2.1 The linearized system of 1.1 around E∗ x∗, y∗ takes the form dx t dt a...
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ژورنال
عنوان ژورنال: Abstract and Applied Analysis
سال: 2012
ISSN: 1085-3375,1687-0409
DOI: 10.1155/2012/264870