摘要
讨论一类在齐次Neumann边界条件下具有扩散项和按比率收获的捕食模型解的全局渐近稳定性,并利用改进的迭代方法和比较原理讨论其非负半平凡解和正平衡解的全局渐近稳定性,得到了一些充分条件.
In this paper, we consider the global asymptotic stab ility of solutions of a predator-prey reaction-diffusion model with ratio-dependent and harvesting function response under homogeneous Neumann boundary condition. Via iteration method and the parabolic equation comparison principle, the global asymptotical stability of the nonnegative semi-trivial solutions and positive steady-state solution are discussed, and some sufficient conditions are given.
出处
《湖北文理学院学报》
2016年第11期5-9,共5页
Journal of Hubei University of Arts and Science
基金
国家自然科学青年基金(11501186)
关键词
捕食模型
齐次Neumann边界
非负半平凡解
平衡解
全局渐近稳定性
Predator-prey model
Homogeneous Neumann boundary
Nonnegative semi-trivial solutions
Steady-state solution
Global asymptotical stability
