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一类渔业生态扩散系统的动力性分析#@#@#The Dynamical Analysis of a Fishery Ecosystem Diffusion Model

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成果类型:
期刊论文
作者:
段彩霞;杜鹏;廖新元
作者机构:
南华大学数理学院,衡阳
语种:
中文
关键词:
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
关键词(英文):
Stability;Linearized Method;Traveling Wavefront;Upper andLower Solution
期刊:
应用数学进展
ISSN:
2324-7991
年:
2013
卷:
02
期:
3
页码:
127-134
机构署名:
本校为第一机构
院系归属:
数理学院
摘要:
Abstract: 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 met...
摘要(英文):
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 con...

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