一类Beddington-DeAngelis-Tanner型扩散捕食系统的稳定性和Turing不稳定性

Stability and Turing instability in the diffusive Beddington-DeAngelis-Tanner predator-prey model

考虑带有齐次Neumann边界条件的Beddington-DeAngelis-Tanner型扩散捕食系统。通过分析系统在唯一正常数平衡解处线性化系统的特征值问题,获得该系统正常数平衡解的局部渐近稳定性和Turing不稳定性。用MATLAB软件包对所获得的理论结果进行适当的数值模拟。

The diffusive Beddington-DeAngelis-Tanner predator-prey model with Neumann boundary condition is considered.By using the linearization method and analyzing the distribution of the eigenvalues of the associated eigenvalue problem on the complex plane,the local asymptotic stability and Turing instability of the unique constant positive equilibrium solution are obtained.The numerical simulation using MATLAB software package is carried out to verify the theoretical results obtained.