紀要論文

紀要論文

text

Osaka Journal of Mathematics. 2013, 50(4), p. 963-976

NONLINEAR STABILITY OF WAVEFRONTS FOR A DELAYED STAGE-STRUCTURED POPULATION MODEL ON A 2-D LATTICE

Osaka University and Osaka City University, Departments of Mathematics

英語

text

2013-12

In this paper, we study the nonlinear stability of wavefronts in a delayed stage-structured population model on a 2-D spatial lattice. For all wavefronts with the speed c>max{c(η0),c_∗(θ)}, where η0 is some positive constant, c_∗(θ)>0 is the critical wave speed and θ is the direction of propagation, we prove that these wavefronts are asymptotically stable, when the initial perturbation around the wavefronts decays exponentially as icosθ+jsinθ→−∞, but it can be arbitrary large in other locations. This essentially improves the previous work with more strongly restricted wave speed and the small initial perturbation. Our approach adopted in this paper is the weighted energy method and the squeezing technique.

10.18910/26819

26819

NONLINEAR STABILITY OF WAVEFRONTS FOR A DELAYED STAGE-STRUCTURED POPULATION MODEL ON A 2-D LATTICE

Osaka University and Osaka City University, Departments of Mathematics

英語

2013-12

Osaka Journal of Mathematics

50

4

963

976

https://hdl.handle.net/11094/26819

10.18910/26819

https://doi.org/10.18910/26819