Stability and Hopf Bifurcation Analysis for a Gause-Type Predator-Prey System with Multiple Delays
نویسندگان
چکیده
منابع مشابه
Stability and Hopf Bifurcation Analysis for a Gause-Type Predator-Prey System with Multiple Delays
and Applied Analysis 3 Letting λ = iω 1 (ω 1 > 0) be a root of (11), then we have m 1 ω 1 sin τ 1 ω 1 = p 2 ω 2 1 − n 0 , m 1 ω 1 cos τ 1 ω 1 = ω 3 1 − n 1 ω 1 . (12)
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A stage-structured predator-prey system with two time delays is considered. By analyzing the corresponding characteristic equation, the local stability of a positive equilibrium is investigated and the existence of Hopf bifurcations is established. Formulae are derived to determine the direction of bifurcations and the stability of bifurcating periodic solutions by using the normal form theory ...
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ژورنال
عنوان ژورنال: Abstract and Applied Analysis
سال: 2013
ISSN: 1085-3375,1687-0409
DOI: 10.1155/2013/795358