Hopf bifurcation for simple food chain model with delay.
Cavani, Mario, Lara, Teodoro, Romero, Sael (2009)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Displaying similar documents to “Stability and bifurcation in a delayed predator-prey system with stage structure and functional response.”
Hopf bifurcation for simple food chain model with delay.
An age-structured model of cannibalism.
Marik, Robert, Pribylova, Lenka (2006)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Stability and Hopf bifurcation analysis for a Lotka-Volterra predator-prey model with two delays
Changjin Xu, Maoxin Liao, Xiaofei He (2011)
International Journal of Applied Mathematics and Computer Science
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In this paper, a two-species Lotka-Volterra predator-prey model with two delays is considered. By analyzing the associated characteristic transcendental equation, the linear stability of the positive equilibrium is investigated and Hopf bifurcation is demonstrated. Some explicit formulae for determining the stability and direction of Hopf bifurcation periodic solutions bifurcating from Hopf bifurcations are obtained by using normal form theory and center manifold theory. Some numerical...
Bifurcation analysis for a delayed predator-prey system with stage structure.
Jiang, Zhichao, Cheng, Guangtao (2010)
Fixed Point Theory and Applications [electronic only]
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On the dynamics of a delayed SIR epidemic model with a modified saturated incidence rate.
Kaddar, Abdelilah (2009)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Bifurcation analysis on a delayed SIS epidemic model with stage structure.
Liu, Li, Li, Xiangao, Zhuang, Kejun (2007)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Permanence of predator-prey system with infinite delay.
Sun, Jingan, Cui, Yonghong (2004)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Study of a prey-predator dynamics under the simultaneous effect of toxicant and disease.
Sinha, Sudipa, Misra, O.P., Dhar, Joydip (2008)
The Journal of Nonlinear Sciences and its Applications
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Persistence and bifurcation analysis on a predator–prey system of holling type
Debasis Mukherjee (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
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We present a Gause type predator–prey model incorporating delay due to response of prey population growth to density and gestation. The functional response of predator is assumed to be of Holling type II. In absence of prey, predator has a density dependent death rate. Sufficient criterion for uniform persistence is derived. Conditions are found out for which system undergoes a Hopf–bifurcation.
shift in Hopf bifurcations for a class of nonstandard numerical schemes.
Alexander, Murray E., Moghadas, Seyed M. (2005)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Nutrient-phytoplankton-zooplankton interaction with variable yields
Joydeb Bhattacharyya, Samares Pal (2013)
Applicationes Mathematicae
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A three dimensional predator-prey-resource model is proposed and analyzed to study the dynamics of the system with resource-dependent yields of the organisms. Our analysis leads to different thresholds in terms of the model parameters acting as conditions under which the organisms associated with the system cannot thrive even in the absence of predation. Local stability of the system is obtained in the absence of one or more of the predators and in the presence of all the predators....