摘要
The existence and stability of periodic solution of competing reaction-diffusion models with grazing rates in population dynamics are discussed in this paper, the sufficient conditions are obtained for existence of a globally asymptotically stable strictly positive spatial homogeneity periodic solution by methods of comparison theory Brouwer’s fixed point theorem and Liapunov function.
The existence and stability of periodic solution of competing reaction-diffusion models with grazing rates in population dynamics are discussed in this paper, the sufficient conditions are obtained for existence of a globally asymptotically stable strictly positive spatial homogeneity periodic solution by methods of comparison theory Brouwer’s fixed point theorem and Liapunov function.
