A predator-prey system with stage-structure for predator and nonlocal delay

Publication: Research - peer-reviewJournal article – Annual report year: 2010

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This paper deals with the behavior of solutions to the reaction-diffusion system under homogeneous Neumann boundary condition, which describes a prey-predator model with nonlocal delay. Sufficient conditions for the global stability of each equilibrium are derived by the Lyapunov functional and the results show that the introduction of stage-structure into predator positively affects the coexistence of prey and predator. Numerical simulations are performed to illustrate the results.
Original languageEnglish
JournalNonlinear Analysis: Theory, Methods & Applications
Publication date2010
Volume72
Issue3-4
Pages2019-2030
ISSN0362-546X
DOIs
StatePublished
CitationsWeb of Science® Times Cited: 2

Keywords

  • Lyapunov functional, Stage-structure, Reaction-diffusion, Nonlocal delay
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