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This paper is concerned with the spreading speeds and traveling wave solutions of a nonlocal dispersal equation with degenerate monostable nonlinearity. We first prove that the traveling wave solution ϕ(ξ) with critical minimal speed c=c⁎ decays exponentially as ξ→−∞, while other traveling wave solutions ϕ(ξ) with c>c⁎ do not decay exponentially as ξ→−∞. Then the monotonicity and uniqueness (up...
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