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

✍ Scribed by Xinyuan Liao; Yuming Chen; Shengfan Zhou

Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
302 KB
Volume
235
Category
Article
ISSN
0377-0427

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✦ Synopsis

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.

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