Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5024669 | Nonlinear Analysis: Theory, Methods & Applications | 2017 | 16 Pages |
Abstract
We study existence and multiplicity of positive solutions of a heterogeneous diffusive logistic equation with predation and harvesting terms, âÎu=auâb(x)u2âcu1+muâdh(x)inΩ,âuâν=0onâΩ, where a,c,m and d are positive constants, Ω a bounded smooth domain in RN, and b(x) is a nonnegative function on Ω¯, with Ω0 a region such that Ω¯0âΩ and Ω¯0={xâΩ:b(x)=0}. Under the strong growth rate assumption, that is, when a is greater than the first eigenvalue of âÎ in Ω0 with Dirichlet boundary condition, we show that the equation has at least one positive solution for 0â¤d0. In addition, in case c
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Authors
Saeed Shabani Rokn-e-vafa, Hossein Torabi Tehrani,