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This paper is concerned with the existence and stability of steady states for a prey-predator system with cross diffusion of quasilinear 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.
Acta Mathematicae Applicatae Sinica – Springer Journals
Published: Apr 26, 2014
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