摘要
This paper is concerned with the existence and stability of steady states for a prey-predator system with cross diffusion of quasilineax fractional type. We obtain a sufficient condition for the existence of positive steady state solutions by applying bifurcation theory and a detailed priori estimate. In virtue of the principle of exchange of stability, we prove the stability of local bifurcating solutions near the bifurcation point.
This paper is concerned with the existence and stability of steady states for a prey-predator system with cross diffusion of quasilineax fractional type. We obtain a sufficient condition for the existence of positive steady state solutions by applying bifurcation theory and a detailed priori estimate. In virtue of the principle of exchange of stability, we prove the stability of local bifurcating solutions near the bifurcation point.
基金
Supported by the National Natural Science Foundation of China(No.11071172 and 11226178)
supported by Beijing Natural Science Foundation(1132003,1122016 and KZ201310028030),SRFDP(20101108110001)
New Start academic research project of Beijing Union University(ZK 201206)
