Bifurcation and temporal periodic patterns in a plant–pollinator model with diffusion and time delay effects

ABSTRACT This paper deals with a plant–pollinator model with diffusion and time delay effects. By considering the distribution of eigenvalues of the corresponding linearized equation, we first study stability of the positive constant steady-state and existence of spatially homogeneous and spatially inhomogeneous periodic solutions are investigated. We then derive an explicit formula for determining the direction and stability of the Hopf bifurcation by applying the normal form theory and the centre manifold reduction for partial functional differential equations. Finally, we present an example and numerical simulations to illustrate the obtained theoretical results.

• Publication year

  2017

• Venue

  Journal of Biological Dynamics

• Publication date

  2017-01-22

• Fields of study

  Biology, Mathematics, Medicine

• Identifiers
  DOI 10.1080/17513758.2016.1181802PMID 27184331
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar, PubMed

• No claims are published for this paper.

• No concepts are published for this paper.

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