Hopf bifurcation analysis in a delayed Nicholson blowflies equation

By Junjie Wei, Michael Y. Li. 2005

141 citations recorded by the source corpus.

Subfields: Computer Networks and Communications, Geometry and Topology, Public Health, Environmental and Occupational Health

View Paper: https://www.semanticscholar.org/paper/559fe814bba15aafa6d05c7c8953b8f6b64911c0

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computer Networks and Communications

1. Xingfu Zou
2. Jianhong Wu
3. Yongli Song
4. Junjie Wei
5. Ying Qu
6. Taishan Yi
7. Yahong Peng
8. Lin Wang

In Geometry and Topology

1. Yongli Song
2. Junjie Wei
3. Ying Qu
4. Jianhong Wu
5. Lin Wang
6. Hongying Shu
7. Taishan Yi
8. Xingfu Zou

In Public Health, Environmental and Occupational Health

1. Xingfu Zou
2. Jianhong Wu
3. Junjie Wei
4. Taishan Yi
5. Yongli Song
6. Ying Qu
7. Lin Wang
8. Hongying Shu

Citations in the corpus

• On the basins of attraction for a class of delay differential equations with non-monotone bistable nonlinearities (2014, unknown): “, [1,3–5,9–13,15–17,20,23,24,27] and the references therein.”
• Global dynamics of Nicholsonʼs blowflies equation revisited: Onset and termination of nonlinear oscillations (2013, methodology): “The existence of periodic solutions when the delay τ is not necessarily near the local Hopf bifurcation values was established by Wei and Li [33], using a global Hopf bifurcation theorem coupled with Bendixson’s criterion for higher dimensional ordinary differential equations.”
• Map dynamics versus dynamics of associated delay reaction–diffusion equations with a Neumann condition (2010, background): “For equation (1.2), the global dynamics can be summarized as given below (e.g. Kuang 1993; Cooke et al. 1999; Györi & Trofimchuk 1999; Wei & Li 2005; Faria 2006; Berezansky et al. 2010) (i) when 0 < b/d ≤ 1, u = 0 is the only equilibrium of equation (1.2) that is globally asymptotically stable for…”
• Bifurcations for a predator-prey system with two delays ✩ (2008, background): “Over the last two decades, a great deal of research has been devoted to the global existence of nonconstant periodic solutions in delayed scalar equations (see, for example, [7,8,13,14,16,20]).”
• Nicholson's blowflies differential equations revisited: Main results and open problems (2010, background): “More general results on bifurcations of (4) can be found in [19].”
• Bifurcation analysis in a time-delay model for prey–predator growth with stage-structure (2007, methodology): “Following the algorithms given in [7] and using a computation process similar to that in [ 11 ], we can”