Global stability of solutions in a reaction-diffusion system of predator-prey model. (English) Zbl 1499.35076
Summary: In this article, we investigate the global asymptotic stability of a reaction-diffusion system of predator-prey model. By applying the comparison principle and iteration method, we prove the global asymptotic stability of the unique positive equilibrium solution of (1.1).
MSC:
| 35B35 | Stability in context of PDEs |
| 35K57 | Reaction-diffusion equations |
| 92D25 | Population dynamics (general) |
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