AAM  >> Vol. 2 No. 3 (August 2013)

    The Dynamical Analysis of a Fishery Ecosystem Diffusion Model

  • 全文下载: PDF(510KB)    PP.127-134   DOI: 10.12677/AAM.2013.23016  
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段彩霞,杜 鹏,廖新元:南华大学数理学院,衡阳

捕食与被捕食渔业模型稳定性线性化方法波前解上下解方法 Prey-Predator Fishery Model; Stability; Linearized Method; Traveling Wavefront; Upper andLower Solution



In this work, we introduce the bio-economic harvesting of a prey-predator fishery diffusion model with toxicity in which both the species are infected by some toxicants released by some other species. We obtain some results for the locally asymptotical stability of the nonnegative constant equilibria, and the global stability of the unique positive equilibrium is also obtained by constructing suitable Lyapunov function. Numerical simulations are illustrated to confirm our rigorous results. Finally, via the upper and lower solution method, we also show the existence of traveling wave fronts connecting the zero solution with the positive equilibrium of this system.

段彩霞, 杜鹏, 廖新元. 一类渔业生态扩散系统的动力性分析[J]. 应用数学进展, 2013, 2(3): 127-134. http://dx.doi.org/10.12677/AAM.2013.23016


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