具常数收获率的L—V扩散系统的渐近性质

Asymptotic behavior of the lotka-volterra diffusive system with constant harvesting rate

为了有效地利用和开发自然资源 ,保持生态平衡 ,研究了两缀块中具有常数收获率的Lotka -Volterra捕食系统 .利用微分方程稳定性理论、Bendixen环域定理获得食饵有扩散和无扩散时系统所获得的收获 ,并得到不同缀块之间的扩散对系统稳定性的影响 ,讨论了其生物意义 .

In order to make use of the natural resources efficiently and keep the balance of nature,we considered a Lotka-Volterra diffusive system with constant havesting rate in patch 1,2 using the theory of stabilities of differential equation and Bendixen.We acquired the impacts on havests of the system with and without diffusion in different patches and discussed the economic benefits.