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The existence and stability of steady states for a prey-predator system with cross diffusion of quasilinear fractional type |
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| Authors: | Qian Xu Yue Guo |
| Institution: | 1. Department of Basic Courses, Being Union University, Beijing, 100101, China 2. College of Mathematical Sciences, Capital Normal University, Beijing, 100048, China 3. Beijing No.19 Middle School, Beijing, 100089, China |
| Abstract: | 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. |
| Keywords: | global bifurcation stability |
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