Traveling wavefronts of a prey-predator diffusion system with stage-structure and harvesting

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:235

Article

Liao, Xinyuan¹  Chen, Yuming²  Zhou, Shengfan³ 

[1] Univ S China, Sch Math & Phys, Hengyang 421001, Hunan, Peoples R China

[2] Wilfrid Laurier Univ, Dept Math, Waterloo, ON N2L 3C5, Canada

[3] Shanghai Normal Univ, Math & Sci Coll, Shanghai 200234, Peoples R China

关键词: Prey-predator system;    Stability;    Traveling wavefront;    Diffusion;    Stage-structure;   

DOI  :  10.1016/j.cam.2010.11.008

来源: Elsevier

【 摘 要 】

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. (C) 2010 Elsevier B.V. All rights reserved.

【 授权许可】

Free