Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4639913 | Journal of Computational and Applied Mathematics | 2011 | 9 Pages |
Abstract
From a biological point of view, we consider a prey–predator-type free diffusion fishery model with stage-structure and harvesting. First, we study the stability of the nonnegative constant equilibria. In particular, the effect of harvesting on the stability of equilibria is discussed and supported with numerical simulation. Then, employing the upper and lower solution method, we show that when the wave speed is large enough there exists a traveling wavefront connecting the zero solution to the positive equilibrium of the system. Numerical simulation is also carried out to illustrate the main result.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Xinyuan Liao, Yuming Chen, Shengfan Zhou,