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Existence and uniqueness of steady state solutions of a nonlocal diffusive logistic equation |
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| Authors: | Linan Sun Junping Shi Yuwen Wang |
| Affiliation: | 1. Y.Y.Tseng Functional Analysis Research Center, Harbin Normal University, Harbin, 150025, Heilongjiang, People’s Republic of China 2. Department of Mathematics, Heihe University, Heihe, 164300, Heilongjiang, People’s Republic of China 3. Department of Mathematics, College of William and Mary, Williamsburg, VA, 23187-8795, USA |
| Abstract: | In this paper, we consider a dynamical model of population biology which is of the classical Fisher type, but the competition interaction between individuals is nonlocal. The existence, uniqueness, and stability of the steady state solution of the nonlocal problem on a bounded interval with homogeneous Dirichlet boundary conditions are studied. |
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