Variable-territory捕食模型正解的惟一性和稳定性

The Uniqueness and Stability of Positive Solution for Variable-Territory Predator-Prey Model

研究了具有扩散的variable-territory捕食模型的平衡态正解.利用椭圆方程正则化理论和扰动理论,给出当参数b充分小时,正解惟一且线性稳定的充分条件.最后利用数值模拟验证了结论.

The steady state positive solutions for a Variable-territory predator-prey model with diffusion are studied.By the elliptic equation regularity theory and perturbation theory,a sufficient condition of the uniqueness and linear stability of positive solution is obtained as the parameter bis small enough.At the end of this paper,some numerical simulations are given to check the theoretical results.