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| My talk is concerned with a certain class of logistic diffusion equations with nonlocal effects, which appear in population biology. In particular, we are interested in the structure of positive solutions of the corresponding stationary problem. We will give an elementary idea to find positive stationary solutions. Generally, it is difficult to study the stability of stationary solutions for reaction-diffusion equations with nonlocal terms. We will also show some stability results on our positive stationary solutions under suitable conditions. |
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